CN101542991A - Methods for transmitting and receiving a multicarrier signal, carrying out a channel estimation, and corresponding devices and computer program products - Google Patents

Abstract

The invention relates to a method for receiving a received signal corresponding to a multicarrier signal transmitted by at least one transmitter via a transmission channel, said multicarrier signal being formed by a temporal succession of symbols consisting of a set of data elements including informative data elements with real values, and pilots for at least some of said symbols. According to the invention, due to groups (221) of at least two pilots (P1, P2) being respectively located in an adjacent region (22) in the time/frequency space, such a reception method comprises a step of extracting at least two complex values corresponding to the pilots of the group of the adjacent region, once they have passed through the transmission channel, and a step of estimating said transmission channel in the adjacent region on the basis of said complex values.The modulation used is of the type OFDM OQAM.

Description

Send and receive the method and the corresponding pilot signal of the multi-carrier signal of OFDM type

1. technical field

The field of the invention is the field of the transmission and the broadcasting of digital information, especially with the field of high bit rate in limited frequency band enterprising line number word transmission of Information and broadcasting.

More specifically, the invention belongs to a kind of technology that sends and receive multi-carrier signal, wherein in receiving course, can obtain the estimation of the transmission channel under the radio mobile environment for example by this multi-carrier signal.

Technology of the present invention is particularly suitable for the transmission of multi-carrier signal, wherein these multi-carrier signals have experienced OFDM/OQAM (OFDM/offset orthogonal amplitude modulation) type modulation or BFDM/OQAM (type modulation of biorthogonal frequency division multiplexing/OQAM) wherein have been shaped to described carrier wave by prototype function by these modulation techniques.

2. background technology

2.1 multi-carrier modulation

2.1.1OFDM modulation

Known OFDM today (OFDM) type multi-carrier modulation.This modulation technique can solve the problem of the broadcast message of broadcast message (especially wired or wireless multipath channel) effectively.

Thus, in several standards and norms that the wire transmission of for example ADSL (ADSL (Asymmetric Digital Subscriber Line)) or PLC (power line communication) is used or for example the wireless transmission of the system of DAB (digital audio broadcasting), DVB-T (digital video broadcast terrestrial) or WLAN (WLAN (wireless local area network)) type is used, selected the OFDM multi-carrier modulation technology.

Yet the shortcoming that the rectangle of the signal that is undertaken by the OFDM modulator is shaped is relatively poor frequency arrangement.

Therefore, proposed alternative to set up multicarrier modulation system, wherein the function by being called prototype function is to signal shaping, thereby obtains better frequency arrangement.

In fact, the set of the carrier wave of multi-carrier modulation has formed multiplexed, and can be shaped to this each multiplexed carrier wave by identical prototype function (being g (t)), and wherein g (t) has characterized multi-carrier modulation.

2.1.2OFDM/OQAM modulation

Therefore, a scheme of proposing comprises by a kind of modulates the QAM (quadrature amplitude modulation) that replacement realizes on each carrier wave, wherein to two continuous carrier frequencies, the real part and the imaginary part of the complex symbol that sends by half symbols (symbol) time is offset.

This OFDM/OQAM type multi-carrier modulation that alternately causes.This scheme makes especially can obtain to have the not necessarily orthogonality condition of the expectation of the prototype filter of rectangle.

In fact, loosened the orthogonality constraint, loosened the biorthogonality constraint more by the time migration that the OQAM modulation is introduced.Compare with the simple rectangle prototype function of OFDM modulation, such modulation provides the wideer selection of prototype function.

Therefore, according to the type of the transmission channel of considering at given application, for example radio moves or power line communication (PLC) channel, can select to be suitable for the prototype function of the type of distortion that run into.Specifically, preferably select to have optionally prototype function of higher frequency than the radix sine that uses in the OFDM modulation, especially in the radio mobile channel to overcome because the frequency dispersion that Doppler effect was caused or the frequency standard of in the PLC channel, sheltering with more high efficiency opposing narrow-band noise phenomenon and general easier satisfied transmission.

Thus, the OFDM/OQAM modulation is substituting of classical OFDM modulation, depends on to select prototype function to modulate fine each carrier wave that is arranged in the signal in time/frequency space of needs advisably.

Specifically; Fig. 1 shows the real-valued data element that sent by OFDM/OQAM modulation and the time/frequency representation of the complex-valued data element that sent at interval without any protection by classical OFDM modulation, forms OFDM/QAM complex value symbol or the real-valued symbol of OFDM/OQAM by the set of the data element of given time t.In addition, carrier frequency of each time carrying, this carrier frequency is called subcarrier or directly is called carrier wave in this paper the following describes.

At Fig. 1, the triangle of given time t is represented the complex-valued data element of OFDM/QAM symbol.The real-valued data element of OFDM/QAM symbol represented in circle shown in the given time t and asterisk.For example, to two continuous real-valued OFDM/OQAM symbols, asterisk is corresponding to the imaginary part of complex symbol corresponding to the real part of complex symbol for circle, and described complex symbol is from qam constellation, and it is attempted by utilizing the OFDM/OQAM modulation to send.

In fact, to the classical OFDM modulation of complex data type, send real part and imaginary part simultaneously, with each symbol time section T from the complex value of qam constellation _uBe the interval; Yet, in the OFDM/OQAM of type real modulation, with a multiple half symbols time (T _u/ 2) time migration sends real part and imaginary part.

At Fig. 1 as can be seen, the spectrum efficiency of OFDM/OQAM is with identical without any protection classical OFDM at interval.In fact, if v ₀Represent the interval between two multiplexed adjacent carriers, and τ ₀Represent the time interval between two real-valued symbols, then to identical carrier spacing v ₀Carry out following transmission:

-at OFDM/OQAM, at each time slot v ₀Real-valued according to each one of carrier wave transmission;

-not protecting classical OFDM at interval, according to per 2 * τ ₀=T _uSend a complex value (that is, two real-valued).

In other words, the spectrum efficiency of OFDM/OQAM is to have duration T _g(the T of protection classical OFDM at interval _g+ 2 τ ₀)/2 τ ₀Doubly.

2.1.3BFDM/OQAM modulation

In addition, if the demodulation function of our selective reception end not necessarily sends the conjugate function of the prototype function of use, then may OFDM/OQAM be summarized in the BFDM/OQAM modulation technique by the attribute that utilizes biorthogonality.

Skew principle about OQAM family is a strict conformance in the context of BFDM/OQAM modulation.Thus, Fig. 1 can also be applied to the BFDM/OQAM type modulation.

More specifically, to the prototype filter of given length, the value of BFDM/OQAM type modulation is can reduce because the delay that transmission system caused.

At this paper as mentioned above, the BFDM/OQAM modulation technique is identical with the OFDM/OQAM modulation technique, and the dual-rate that sends the speed of complex value symbol with OFDM sends real-valued symbol.Therefore, these two are modulated at and have identical spectrum efficiency in theory.

More specifically, the BFDM/OQAM signal can be represented in base band in the following form:

Wherein,

-a _{M, n}, at the real data element of carrier wave m in moment n transmission;

-M, the number of carrier frequency (need be even number);

-g is by the prototype function of modulator utilization;

-τ ₀, the duration of BFDM/OQAM symbol;

-v ₀, interval between the carrier wave;

-φ _{M, n}, phase term alternately obtains orthogonality or biorthogonality more generally thereby be selected as obtaining real part/imaginary part.

In fact, under the biorthogonal situation, the demodulation basis during reception can be different with transmission, and can represent in the following form:

$f_{m,n}\left(t\right)=f(t-n{\mathrm{\τ}}_0)e^{j2\mathrm{\πm}{v}_{0}t}{e}^{j{\mathrm{\φ}}_{m,n}}---\left(2\right)$

So the condition of biorthogonality can be represented with following form:

Wherein,＜.. _RRepresent real scalar product and The expression real part.

Yet a shortcoming of BFDM/OQAM (perhaps OFDM/OQAM) type modulation technology only is real-valued acquisition biorthogonality (perhaps orthogonality) condition to the symbol that will send.The estimation of estimation problem, especially transmission channel when this has caused receiving is because mostly the symbol that is received is complex symbol.

2.2 transmission channel

The technology of the estimation of the feature of the transmission channel in the radio mobile environment especially and this channel hereinafter, is briefly described.In fact can expect, depend on the condition that sends this signal from the method for the information shaping signal of telecommunication that will send.

2.2.1 the feature of transmission channel

In the radio mobile environment, the ripple that is sent experiences the delay version sum that a large amount of reflections and receiver receive this transmission signal thus during the journey it.These versions are attenuated and the phase place random drift separately.The phenomenon that this being called " postpones expansion " produces intersymbol interference (ISI).Item ISI refers in particular to the interference between the time symbol and/or between the carrier wave.For example, under the environment of classes of cities, postpone expansion in some microseconds or littler scope.

Because supposition receiver (for example, motroist's vehicular radio phone) moves, also on each path, play a role so be called the effect of Doppler effect, thereby the frequency drift and the vehicle movement speed that cause receiving spectrum are proportional.

The combination table of these effects is shown the form of non-static channel, has deep fading's effect on some frequency.This channel especially can be used as the frequency selective channel.In some applications, valuable especially in the context of the present invention, the width of transmission wave band is greater than the width (that is, can think that channel frequency response is constant wave band, in the given time period) of the relevant wave band of channel.Fade-out comes across in this wave band thus, promptly at given time, and some frequency altitude decay.

In the OFDM type system, add protection at interval in order to overcome these different phenomenons (because ISI and doppler phenomenon cause), to it is contemplated that, wherein do not transmit, thereby all information of guaranteeing to receive are from prosign.Under the situation of the consistent demodulation of subcarrier, by estimate time/its value of each point of frequency network proofread and correct by channel given distortion.

This protection introducing has at interval reduced the phenomenon of relevant intersymbol interference thus.

Yet a major defect of this technology is: owing in protection at interval, do not send payload information, so its spectrum efficiency is restricted.

On the other hand, OFDM/OQAM and BFDM/OQAM type modulation technology not necessarily leave no choice but introduce protection interval or Cyclic Prefix, and have simultaneously and classical OFDM chopping phase spectrum efficiency together.

2.2.2 the estimation of transmission channel

When carrying out the estimation of transmission channel, the real number type multi-carrier modulation on the one hand and the different characteristic of complex number type multi-carrier modulation on the other hand cause dissimilar processing.

Hereinafter, describe the technology of the transmission channel be used to estimate real number type modulation (for example OFDM/OQAM or BFDM/OQAM type modulation) in detail.In fact, under the situation of full mold multi-carrier modulation, this fact of orthogonality with conversion values (translated values) of sincere justice makes channel estimation process difficult more.

In fact, for the complex gain of the channel of estimating given subcarrier, can on the subcarrier of being considered, carry out the multiple projection of received signal.Now, the orthogonality of the conversion values of sincere justice and prototype function (even be chosen in time and frequency those prototype function of carrying out localization to the full extent) to two axles (being time shaft or frequency axis) even at least one fact with unlimited support hinted on ideal communication channel, also will produce (intrinsic) inter-carrier interference.

In fact, based on the conversion values of prototype function, the imaginary part of the projection of received signal is not 0.Produce an appearance and be added into restituted signal so disturb, and before carrying out channel estimating, must proofread and correct.Thus, need method for designing also to reduce some shortcomings of this prior art of OFDM/OQAM or BFDM/OQAM type modulation thus at least with the loss that compensates this multiple orthogonality.

Let us is considered received signal, for example y (t).

Especially suppose that the parameter of multi-carrier modulation selects to guarantee to think that channel is smooth to each OFDM/OQAM symbol on each subcarrier.Then, can be H by a complex coefficient of each subcarrier _{M, n}This channel of modeling, wherein, m is the index of subcarrier, n is the index of OFDM/OQAM symbol.

We utilize the point (m of time/frequency space then ₀, n ₀) the multiple projection of multi-carrier signal estimate the transmission channel of this position

Therefore, if our this position sends $a_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0}=\sqrt{E},$ We obtain:

${\hat{H}}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0}=\frac{\&Integral;y\left(t\right){\mathrm{<figure-callout\; id="0"\; label="g\; m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">g</figure-callout>}}_{m_{}}^{{}_0,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0}\left(t\right)\mathrm{dt}}{\sqrt{E}}---\left(4\right)$

Suppose that channel is desirable (y (t)=s (t)), given OFDM/OQAM and BFDM/OQAM modulation only have real orthogonality (equation (3)), and then we cannot obtain ${\hat{H}}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0}=1.$

Therefore, get $a_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0}^{\left(c\right)}={<s,{\mathrm{<figure-callout\; id="0"\; label="g\; m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">g</figure-callout>}}_{m_{}},{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0>}_C=\&Integral;s\left(t\right){\mathrm{<figure-callout\; id="0"\; label="g\; m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">g</figure-callout>}}_{m_{}}^{{}_0,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0}\left(t\right)\mathrm{dt}$ And suppose that channel is desirable, then we obtain:

Wherein,＜.. _CThe multiple scalar product of expression.

Equation (5) is expressed as follows the fact: the multiple projection of the perfect signal that sends still is expressed as

OFDM/OQAM and BFDM/OQAM modulation the influence of intrinsic intersymbol interference (ISI).

Specifically, the estimation of transmission channel and the estimation of symbol have thus seriously been upset in the existence of this intersymbol interference.

Especially proposed a scheme among the disclosed patent documentation WO 02/25884 to this problem on March 28th, 2002.

More specifically, the specific framing mode when utilizing transfer of data, the technology of proposing in this document can limit this interference.Therefore, for time/the 3x3 zone of frequency network, be called first ring, perhaps larger sized zone, this technology association is called the reference data element and the control data of pilot tone.

A shortcoming of this prior art is: it requires to carry out matrix computations when sending and receive, and wherein matrix size increases along with the size of ring.

Be distributed in time/frequency resource under the situation of the transmission between the several users, as can be seen another shortcoming of this prior art.In this case, the ring relation needs all data elements of same ring should distribute to same subscriber.This constraint especially causes the problem of the distribution of granularity and resource, and the number of pilots of transmission is usually located between 2% and 5%.

Be used for reducing that another prior art of distracter comprises that sending the introduction that is inserted in multi-carrier signal starts symbol as frame between the symbol, a frame is formed by one group of at least one fiducial mark and one group of payload symbol that is called introduction.In this case, introduction has 3 τ ₀Minimum duration.

A shortcoming of this prior art is to send relevant spectral efficiency loss with introduction.

Therefore, need a kind of technology that the better estimation of transmission channel can be provided and provide the more accurate estimation of the information data element that multi-carrier signal carries.

3. summary of the invention

The present invention proposes a kind of novel solution that does not have the shortcoming of prior art, its form is a kind of reception corresponding to the method for the received signal multi-carrier signal of implementing the modulation of OQAM type, that sent via transmission channel by at least one sender device, described multi-carrier signal is formed by continuous a plurality of symbols of time, described symbol is formed by one group of data element, comprising:

-real-valued information data element, and

-be used for the reference data element of at least some described symbols, be called pilot tone, at least one is used to receive the receiver of described multi-carrier signal knows,

Each of described data element is modulated the carrier frequency of described signal, and the carrier frequency of one of described data element modulation is called carrier wave.

According to the present invention, the group of at least two pilot tones, each is positioned at the zone that is called neighborhood of time/frequency space, neighborhood is wherein to think the zone of described transmission channel constant, at least one of described group comprises at least one real-valued pilot tone and at least one pure empty value pilot tone, to at least one neighborhood in the described neighborhood, described method of reseptance comprises:

-after passing through described transmission channel, the step of at least two complex values that extraction is corresponding with the pilot tone of the group of described neighborhood,

-estimate the real part of the described transmission channel the described neighborhood and the step of imaginary part from described complex value.

Therefore, the present invention relies on the estimation that a kind of novelty and creative scheme implement to carry the transmission channel in the transmission system of multi-carrier signal of real-valued data element.Particularly, this multi-carrier signal is OFDM/OQAM or BFDM/OQAM type.

Term " modulation of OQAM type " is interpreted as and especially refers to OFDM/OQAM or BFDM/OQAM type multi-carrier modulation.

Can expect, be divided into a plurality of unit along time shaft and the described transmission channel of frequency axis.Each unit or the position of time/frequency are assigned with special carrier.Thus, the information that transmit is distributed on all these carrier waves.

More specifically, technology according to the present invention depends on receiving terminal the estimation of the transmission channel in the neighborhood of realizing wherein being equipped with one group of at least two pilot tone.

Particularly, neighborhood is that transmission channel does not have the zone that changes or change a little on time and/or frequency therein.

Therefore, this technology allows the estimation to the transmission channel of neighborhood, and can not lose time/frequency resource, this is because there is no need the value of the carrier wave institute data carried by data element of the immediate neighbor (that is, being positioned at the zone that is called first lap) of each pilot tone of described group to be imposed restriction.Do not need to apply the first lap relation thus to reduce ISI.

In fact; compared with prior art; technology of the present invention can be used in optimization time/frequency resource, this be because it neither need to utilize do not send payload information therein protection at interval, need when keeping identical pilot density, not carry out any specific framing to the data that sending yet.

These pilot tones especially can be enhanced (boost).

According to a special characteristic of the present invention, each of described each group comprises a pair of pilot tone.

According to a specific embodiment, in pairs this distribution of pilot tone make especially can be in described estimating step each right realization has the system analysis of four equations of four known variables to described pilot tone.

In fact, to each each right pilot tone, in this estimating step, utilization of the present invention is in the complex value of time/frequency address (position) reception of described pilot tone, and the information of these values, the real part or the imaginary part of described pilot tone before sending via transmission channel.

According to a further aspect in the invention, to comprising the group of at least one real-valued pilot tone and at least one pure empty value pilot tone, the equation below described system realizes:

$\left\{\begin{array}{c}{\mathrm{<figure-callout\; id="0"\; label="y\; m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">y</figure-callout>}}_{m_{}}^{{}_0,n_0}={\mathrm{<figure-callout\; id="0"\; label="H\; m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">H</figure-callout>}}_{m_{}}^{{}_0,n_0}{a}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0}^{\left(r\right)}-{\mathrm{<figure-callout\; id="0"\; label="CH\; m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">CH</figure-callout>}}_{m_{}}^{{}_0,n_0}{a}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0}^{\left(i\right)}\\ y_{m_0,n_0}^{\left(i\right)}={\mathrm{<figure-callout\; id="0"\; label="CH\; m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">CH</figure-callout>}}_{m_{}}^{{}_0,n_0}{a}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0}^{\left(r\right)}+{\mathrm{<figure-callout\; id="0"\; label="H\; m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">H</figure-callout>}}_{m_{}}^{{}_0,n_0}{a}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0}^{\left(i\right)}\\ y_{m_1,n_1}^{\left(r\right)}=-\mathrm{sign}\left(a_{{\mathrm{<figure-callout\; id="1"\; label="m"\; filenames="A20078003086400351.png"\; state="\{\{state\}\}">m</figure-callout>}}_1,n_1}^{\left(i\right)}\right)\left(\right|a_{{\mathrm{<figure-callout\; id="1"\; label="m"\; filenames="A20078003086400351.png"\; state="\{\{state\}\}">m</figure-callout>}}_1,n_1}^{\left(r\right)}|+|a_{{\mathrm{<figure-callout\; id="1"\; label="m"\; filenames="A20078003086400351.png"\; state="\{\{state\}\}">m</figure-callout>}}_1,n_1}^{\left(i\right)}\left|\right){\mathrm{<figure-callout\; id="1"\; label="CH\; m"\; filenames="A20078003086400351.png"\; state="\{\{state\}\}">CH</figure-callout>}}_{m_{}}^{{}_1,n_1}\\ y_{m_1,n_1}^{\left(i\right)}=\mathrm{sign}\left(a_{{\mathrm{<figure-callout\; id="1"\; label="m"\; filenames="A20078003086400351.png"\; state="\{\{state\}\}">m</figure-callout>}}_1,n_1}^{\left(i\right)}\right)\left(\right|a_{{\mathrm{<figure-callout\; id="1"\; label="m"\; filenames="A20078003086400351.png"\; state="\{\{state\}\}">m</figure-callout>}}_1,n_1}^{\left(r\right)}|+|a_{{\mathrm{<figure-callout\; id="1"\; label="m"\; filenames="A20078003086400351.png"\; state="\{\{state\}\}">m</figure-callout>}}_1,n_1}^{\left(i\right)}\left|\right){\mathrm{<figure-callout\; id="1"\; label="H\; m"\; filenames="A20078003086400351.png"\; state="\{\{state\}\}">H</figure-callout>}}_{m_{}}^{{}_1,n_1}\end{array}\right.$

Wherein:

-(m ₀, n ₀) be the primary importance of the time/frequency space in the neighborhood, (m ₁, n ₁) be the second place of the time/frequency space in the neighborhood,

With

Be real-valued, equal at (m respectively ₀, n ₀) real part and the imaginary part of complex value of received signal,

With

Be real-valued, equal to be positioned at (m respectively ₁, n ₁) the real part and the imaginary part of complex value of carrier wave,

Be position (m ₀, n ₀) the real part of complex value of described transmission channel, and

Be position (m ₁, n ₁) the real part of complex value of described transmission channel, wherein

Equal

Think described transmission channel constant in described neighborhood,

And Be real-valued, equal position (m respectively ₀, n ₀) the real part and the imaginary part of complex value of described real-valued pilot tone of described neighborhood group;

Be and position (m ₁, n ₁) the imaginary part of the interference that causes of the adjacent described information element of described pure empty value pilot tone of described neighborhood group,

Be position (m ₁, n ₁) the void value of reception of described pure empty value pilot tone of described neighborhood group,

-C is a real number.

The described pilot tone of term information element " adjacent " is construed as and is meant the data element of close pilot tone.

Particularly, described estimating step realizes the intermediate computations of the described real part and the ratio between the imaginary part of described complex value.

This should comprise real-valued pilot tone and pure empty value pilot tone to pilot tone, and method of reseptance according to the present invention comprises the step of elimination by the intrinsic interference of described pure empty value pilot tone introducing.

The relevant a kind of device of another embodiment of the present invention, be used to receive send via transmission channel by at least one transmitter, corresponding to the received signal of the multi-carrier signal of implementing OQAM type modulation described above here.

According to the present invention, the group of at least two pilot tones, each pilot tone is positioned at the zone that is called neighborhood of time/frequency space, neighborhood is to think the zone of described transmission channel constant therein, at least one of described group comprises at least one real-valued pilot tone and at least one pure empty value pilot tone, to in the described neighborhood at least one, described this receiving system comprises:

-by behind the described transmission channel, extract the device of at least two complex values corresponding with the pilot tone of described neighborhood group,

-estimate the real part of the described transmission channel in the described neighborhood and the device of imaginary part based on described complex value.

This receiving system is particularly suited for realizing method of reseptance described above here.

For example, this receiving system corresponding to or be included in terminal (radio telephone, kneetop computer, PDA or the like) or base station.

Another aspect of the present invention is a kind of method, is used to send the multi-carrier signal of implementing the modulation of OQAM type, and intention sends via transmission channel, and the time continuous symbol that is formed by one group of data element forms, and comprising:

-real-valued information data element, and

-be used for the reference data element of at least some described symbols, be called pilot tone, be designed for the receiver that receives described multi-carrier signal by at least one and know,

Each of described data element is modulated the carrier frequency of described signal, and the carrier frequency of being modulated by one of described data element is called carrier wave.

According to the present invention, the group of at least two pilot tones of described method utilization, each pilot tone is positioned at the zone that is called neighborhood of time/frequency space, neighborhood is to think the zone of described transmission channel constant therein, and at least one in described group comprises at least one real-valued pilot tone and at least one pure empty value pilot tone.

More specifically, this technology depends on the group of implementing at least two pilot tones at transmitting terminal, is the group of at least two reference data elements, is positioned at the field, wherein can send the information data element and think that therein transmission channel is quite constant.

At receiving terminal, can carry out the estimation of the transmission channel in the neighborhood thus.

According to a particular aspect of the invention, described each group is made of a pair of pilot tone.

Particularly, constituting a pair of pilot tone can distribute on time and/or frequency.

Therefore, if transmission channel substantially constant in time, then pilot tone is to expanding in time, if transmission channel constant on frequency, then pilot tone is to expanding on frequency.If transmission channel is substantially constant on time and frequency, then pilot tone can also be expanded on time and frequency.

According to a particular aspect of the invention, at least some described carriers carry intentions are respectively applied in the system of two data elements of different user and/or service at least therein, this sending method uses same carrier wave by at least two pilot modulated, and wherein each is associated with one of described user and/or service.

For example, such system allows to utilize some carrier wave to carry the data element that is used for different user by the extended code related with each user.

Therefore, according to this particular aspects of the present invention, same carrier wave can be by at least two pilot modulated, and each pilot tone is related with different user.

Similarly, such system by with the extended code of each service association, allow to utilize some carrier wave to carry and be used for different services or user's data element.

Therefore, according to another particular aspects of the present invention, same carrier wave can be by at least two pilot modulated, each pilot tone and different service associations.

According to a further aspect in the invention, form at least one of described each centering by real-valued pilot tone and pure empty value pilot tone.

Therefore, sending method of the present invention comprises the step of the attribute of determining described pilot tone, and described attribute belongs to the group that comprises real attribute and pure empty attribute.

At least one of described each pilot tone centering should be made of real-valued pilot tone and pure empty value pilot tone, and sending method of the present invention comprises the step of the sign (sign) of determining described empty value pilot tone.

According to a particular aspect of the invention, at least one the described step that is used for determining the sign of the attribute of described pilot tone and described empty pilot tone depends on the value with each at least one adjacent information data element of described pilot tone.

More specifically, the sign of described pure empty value pilot tone is identical with the sign of the value of the distracter of introducing adjacent to the described information data element of described pilot tone.

Another embodiment of the present invention is also paid close attention to the device that sends the multi-carrier signal of implementing OQAM type modulation described above here.

According to the present invention, this dispensing device comprises the device of the group that is used to realize at least two pilot tones, wherein each pilot tone is positioned at the zone that is called neighborhood of time/frequency space, neighborhood is wherein to think the substantially invariable zone of described transmission channel, and at least one in described group comprises at least one real-valued pilot tone and at least one pure empty value pilot tone.

This dispensing device is particularly suited for realizing sending method described above here.

Particularly, be suitable for sending and be used for this multi-carrier signal of receiving system described above here.

For example, this dispensing device is corresponding or be included in terminal (radio telephone, kneetop computer, PDA etc.) or the base station.

Another aspect of the present invention is paid close attention to computer program, can download and/or be stored on the computer readable carrier and/or can carry out to implement method of reseptance described above here from communication network by the processor that comprises code instructions, and computer program, can download and/or be stored on the computer readable carrier and/or can carry out to implement sending method described above here from communication network by the processor that comprises code instructions.

At last, another aspect of the present invention is paid close attention to the multi-carrier signal of implementing the modulation of OQAM type, and the time continuous symbol that is formed by one group of data element forms, and comprising:

-real-valued information data element, and

-be used for the reference data element of at least some described symbols, be called pilot tone, be designed for the receiver that receives described multi-carrier signal by at least one and know,

Each of described data element is modulated the carrier frequency of described signal, and the carrier frequency of being modulated by one of described data element is called carrier wave.

According to the present invention, described data elements groups comprises the group of at least two pilot tones, described each pilot tone is positioned at the zone that is called neighborhood of time/frequency space, neighborhood is to think the zone of described transmission channel constant therein, and at least one in described each group comprises at least one real-valued pilot tone and at least one pure empty value pilot tone.

According to a particular aspect of the invention, at least one in described each group is by a pair of formation that comprises the pure empty value pilot tone of a real-valued pilot tone and.

Can especially represent the multi-carrier signal that sends according to sending method described herein such as such signal.

Can also be according to method of reseptance reception described above here.

4. description of drawings

Based on describing below of the preferred embodiment that is provided by simple non-limit and illustrative example, and based on following accompanying drawing, it is clearer that other features and advantages of the present invention will become, and these accompanying drawings are as follows:

-Fig. 1 comments on reference to prior art, and it is according to the complex value symbol of classical OFDM modulation transmission and the time/frequency representation of the real-valued symbol that modulation sends according to prior art OFDM/OQAM;

-Fig. 2 A illustrates the structure of multi-carrier signal according to an embodiment of the invention;

-Fig. 2 B and Fig. 2 C illustrate the example of many according to an embodiment of the invention specific distribution to pilot tone;

-Fig. 3 illustrates the example of location of the pilot tone of multi-carrier signal according to an embodiment of the invention;

-Fig. 4 illustrates the key step of method of reseptance according to an embodiment of the invention;

-Fig. 5 illustrates perfect channel estimating and according to the comparative result of the channel estimating of one particular embodiment of the present invention;

-Fig. 6 A and Fig. 6 B illustrate the structure according to the dispensing device and the receiving system of one particular embodiment of the present invention respectively.

5. embodiment

General principle of the present invention depends at least one group of pilot tone in the multi-carrier signal of considering the real-valued information data element of realization, thereby obtains the estimation of the transmission channel between transmitter and the receiver when receiving.

More specifically, In a particular embodiment, the present invention depends on the following fact: every group of pilot tone is positioned at the zone that is called the neighborhood zone, thinks in this neighborhood zone that wherein transmission channel is constant.

Therefore, described neighborhood zone is obtained the estimation of the transmission channel among this embodiment.

The specific embodiment of realizing in the context of OFDM/OQAM type multi-carrier modulation of the present invention has hereinafter been described.

At transmitting terminal, one or more groups pilot tone is inserted in the multi-carrier signal, and at least one group comprises at least one real-valued pilot tone and at least one pure empty value pilot tone, i.e. reference data element, be received known to the device, be located at and think that wherein transmission channel is in the constant neighborhood zone.

Specifically, according to whether being considered to quite constant in time and/or frequency upper signal channel, a pair of pilot tone that distributes on time and/or frequency constitutes one group of pilot tone according to this embodiment of the invention.

Of course not limit of this embodiment surpasses two pilot tone (for example, three or four pilot tones) because pilot group can comprise.In addition, if consider several groups of pilot tones, then these groups can have different radix (that is the pilot tone of the different numbers in every group).

More specifically, shown in reference Fig. 2 A, we think the continuous symbol 21 of time that is made of one group of data element ₁, 21 ₂..., 21 _NThe multi-carrier signal that forms comprises:

-real-valued information data the element corresponding with blank ring; And

-at least some described symbols, be called the reference data element of pilot tone, corresponding with the sky circle, note has alphabetical P, known to the receiver of at least one intention reception multi-carrier signal.

More specifically, these pilot tones are inserted in the multi-carrier signal in couples, thus the estimation of the transmission channel when allowing to the reception in zone of wherein inserting described pilot tone with sending mode.

For example, if think that channel is quite constant in the time in the neighborhood zone of being divided by dotted line 22, the multi-carrier signal on two real-valued time continuous symbols that a pair of 221 pilot tone P1 of the solid line division among Fig. 2 A and P2 are added to zone 22.

According to the time fluctuation of transmission channel, pilot tone can be inserted in two discontinuous symbols (for example a pair of 231 pilot tone P3 and P4), i.e. the consideration of being divided by dotted line is used for the neighborhood zone 23 of channel estimating.

Do not change or frequency another alternative embodiment of minor alteration only according to the frequency of transmission channel therein, a pair of 241 pilot tone P5 and P6 (solid line of Fig. 2 A is divided) are added to the multi-carrier signal on two cline frequencies of neighborhood zone 24 (being divided by dotted line).

Similarly, according to the frequency change of transmission channel, pilot tone can be inserted on two discontinuous frequencies.

According to another alternative embodiment of the present invention, a pair of 251 pilot tone P7 and P8 are added to the multi-carrier signal on two continuous symbols and two cline frequencies.In this case, be used in the neighborhood zone (dividing) of channel estimating, think that channel is quite constant on time and frequency by dotted line in consideration.

For example, pilot tone has real-valued to 251 pilot tone P7, and pilot tone has pure empty value to 251 pilot tone P8.

Show two examples of other embodiment at Fig. 2 B and Fig. 2 C.

At Fig. 2 B, the pilot tone that has real-valued or pure empty value separately is to being inserted in the same-sign to form introduction.These pilot tones are to (P2m-1 P2m) is used to estimate the channel of t constantly.Can expect that at least one pair of pilot tone comprises the pilot tone that has real-valued pilot tone and have pure empty value.

At Fig. 2 C, the pilot tone that has real-valued or pure empty value separately is to the special carrier on the continuous symbol of the time of being inserted into.These pilot tones are to (P2m-1, P2m) channel estimating of realization frequency m.Once more, at least one pair of comprises real-valued pilot tone and pure empty value pilot tone.

In these two alternative embodiments, can also carry out channel estimating based on three or more pilot group, realize better estimating according to channel thus.

According to another alternative embodiment shown in Figure 3, some carriers carry of multi-carrier signal is respectively applied at least two data elements of different user and/or different services.In this embodiment, sending method of the present invention is inserted into two pilot tone P9 and P10 in the same carrier wave, in this width of cloth figure, be shown time/frequency chunks, suppose that wherein channel is constant, these two pilot tone P9 send simultaneously with data with P10 and are used for two different users and/or two different services.The axle that is called " code " axle allows related with each data element (information or reference data element), is received known to the device and is used to distinguish the code of user and/or service.

At receiving terminal,, extract 31 complex values corresponding with the pilot group the neighborhood from received signal y (t) as with reference to shown in Figure 4.As an example, consider to comprise the group of a pair of pilot tone.

Based on these complex values, for every pair of pilot tone acquisition has the system of four equations of four known variables.

At first, consider a pair of pilot tone two pilot tones real-valued and/or empty value and receive in their position and, carry out the real part of intermediate computations 32 described channels and the ratio between the imaginary part in the complex value that step 31 is extracted.

Then, the estimation of the transmission channel in the neighborhood zone that the pilot tone that the system of a plurality of equations of parsing is considered with acquisition in step 33 is right.

Hereinafter, under the condition of BFDM/OQAM type modulation, first example according to the execution mode of the reception technique of first modification of this specific embodiment of the present invention has been described.

More specifically, received signal y (t) can write into following form:

$y\left(t\right)=\underset{n}{\mathrm{\&Sigma;}}\underset{m=0}{\overset{M-1}{\mathrm{\&Sigma;}}}{H}_{m,n}^{\left(c\right)}{a}_{m,n}{g}_{m,n}\left(t\right)+b\left(t\right)---\left(6\right)$

Wherein, H _{M, n} ^(c)Be the complex coefficient of the transmission channel of each time of expression, m is a frequency indices, and n is a time index, and b (t) is a noise contribution.

As the regulation of having carried out at OFDM/OQAM type modulation, in base band by plural modeling transmission signal and transmission channel, to time/each element (m of frequency network ₀, n ₀) coefficient that when receiving, will estimate

It also is plural number.

Also suppose described channel approximately constant on the given area of time/frequency space and since this that describe with reference to equation (3) to function (f, biorthogonality g), so by following equation to carrier wave m ₀Go up at moment n ₀The signal that receives is estimated:

${\mathrm{<figure-callout\; id="0"\; label="y\; m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">y</figure-callout>}}_{m_{}}^{{}_0,n_0}={<s,{\mathrm{<figure-callout\; id="0"\; label="f\; m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">f</figure-callout>}}_{m_{}}>}_C$

In this expression formula,

Be linked to the interference that in supposing the constant zone of transmission channel, forms,

With suppose no longer that at transmission channel the interference that forms in the constant zone is associated.

In the explanation hereinafter, saved noise contribution b and ignored item Thereby simplify these equations.

Here supposition in time and/or on the frequency promptly at (δ n+1) τ ₀Go up and/or (δ m+1) v ₀Upper signal channel is quite constant, and wherein δ n and δ m are integers.

Equation (7) is so write as follows:

${\mathrm{<figure-callout\; id="0"\; label="y\; m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">y</figure-callout>}}_{m_{}}^{{}_0,n_0}={\mathrm{<figure-callout\; id="0"\; label="H\; m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">H</figure-callout>}}_{m_{}}^{{}_0,n_0}{a}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0}+{\mathrm{<figure-callout\; id="0"\; label="H\; m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">H</figure-callout>}}_{m_{}}^{{}_0,n_0}{\mathrm{<figure-callout\; id="0"\; label="C\; m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">C</figure-callout>}}_{m_{}}={\mathrm{<figure-callout\; id="0"\; label="H\; m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">H</figure-callout>}}_{m_{}}^{{}_0,n_0}(a_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0}+{\mathrm{<figure-callout\; id="0"\; label="c\; m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">c</figure-callout>}}_{m_{}})$

Wherein,

Be real number,

It is pure imaginary number.

We consider thus time/(m, received signal n) can be interpreted as the result of the product of complex channel and complex coefficient, that is: for any position of frequency network

$y_{m,n}^{\left(c\right)}=H_{m,n}^{\left(c\right)}{a}_{m,n}^{\left(c\right)}=H_{m,n}^{\left(c\right)}(a_{m,n}^{\left(r\right)}+j{a}_{m,n}^{\left(i\right)})=H_{m,n}^{\left(c\right)}(a_{m,n}^{\left(r\right)}+C_{m,n})$

A wherein _{M, n} ^(r)And a _{M, n} ⁽ⁱ⁾Be real-valued (real part of index (r) expression complex value, index (i) expression imaginary part).

Here, we consider the particular variant of embodiment, and wherein channel is in the duration Be constant on time.In this example, pilot tone

With

Be inserted into position (m ₀, n ₀) and (m ₀, n ₀+ 1) in the signal, and form a pair of to estimate to think that channel is the channel in the quite constant neighborhood in time.

Suppose $H_{m,n}^{\left(c\right)}=H_{m,n}^{\left(r\right)}+j{H}_{m,n}^{\left(i\right)},$ Received signal y _{M, n} ^(c)Real part and imaginary part can write as follows:

$\left\{\begin{array}{c}{y}_{m,n}^{\left(r\right)}=H_{m,n}^{\left(r\right)}{a}_{m,n}^{\left(r\right)}-H_{m,n}^{\left(i\right)}{a}_{m,n}^{\left(i\right)}\\ y_{m,n}^{\left(i\right)}=H_{m,n}^{\left(i\right)}{a}_{m,n}^{\left(r\right)}+H_{m,n}^{\left(r\right)}{a}_{m,n}^{\left(i\right)}\end{array}\right.---\left(8\right)$

Because supposition is at 2 τ ₀Upper signal channel is constant, so obtain ${\mathrm{<figure-callout\; id="0"\; label="H\; m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">H</figure-callout>}}_{m_{}}^{{}_0,n_0}={\mathrm{<figure-callout\; id="0"\; label="H\; m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">H</figure-callout>}}_{m_{}}^{{}_0,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0+1}.$ Work as supposition $H_{m_{}}^{}$ ${{}_0,n_0}_{\left(i\right)}^{}={\mathrm{<figure-callout\; id="0"\; label="CH\; m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">CH</figure-callout>}}_{m_{}}^{{}_0,n_0}$ The time, C is real-valued, acquisition has the following plane system of four equations of four known variables:

$\left\{\begin{array}{c}{\mathrm{<figure-callout\; id="0"\; label="y\; m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">y</figure-callout>}}_{m_{}}^{{}_0,n_0}={\mathrm{<figure-callout\; id="0"\; label="H\; m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">H</figure-callout>}}_{m_{}}^{{}_0,n_0}{a}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0}^{\left(r\right)}-{\mathrm{<figure-callout\; id="0"\; label="CH\; m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">CH</figure-callout>}}_{m_{}}^{{}_0,n_0}{a}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0}^{\left(i\right)}\\ y_{m_0,n_0}^{\left(i\right)}={\mathrm{<figure-callout\; id="0"\; label="CH\; m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">CH</figure-callout>}}_{m_{}}^{{}_0,n_0}{a}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0}^{\left(r\right)}+{\mathrm{<figure-callout\; id="0"\; label="H\; m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">H</figure-callout>}}_{m_{}}^{{}_0,n_0}{a}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0}^{\left(i\right)}\\ y_{m_0,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0+1}^{\left(r\right)}={\mathrm{<figure-callout\; id="0"\; label="H\; m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">H</figure-callout>}}_{m_{}}^{{}_0,n_0}{a}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0+1}^{\left(r\right)}-{\mathrm{<figure-callout\; id="0"\; label="CH\; m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">CH</figure-callout>}}_{m_{}}^{{}_0,n_0}{a}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0+1}^{\left(i\right)}\\ y_{m_0,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0+1}^{\left(i\right)}={\mathrm{<figure-callout\; id="0"\; label="CH\; m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">CH</figure-callout>}}_{m_{}}^{{}_0,n_0}{a}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0+1}^{\left(r\right)}+{\mathrm{<figure-callout\; id="0"\; label="H\; m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">H</figure-callout>}}_{m_{}}^{{}_0,n_0}{a}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0+1}^{\left(i\right)}\end{array}\right.---\left(9\right)$

We can derive based on it:

$\left\{\begin{array}{c}{a}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0+1}^{\left(r\right)}{y}_{m_0,n_0}^{\left(r\right)}-a_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0}^{\left(r\right)}{y}_{m_0,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0+1}^{\left(r\right)}={\mathrm{<figure-callout\; id="0"\; label="CH\; m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">CH</figure-callout>}}_{m_{}}^{{}_0,n_0}(-a_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0+1}^{\left(r\right)}{a}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0}^{\left(i\right)}+a_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0}^{\left(r\right)}{a}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0+1}^{\left(i\right)})\\ a_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0+1}^{\left(r\right)}{y}_{m_0,n_0}^{\left(i\right)}-a_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0}^{\left(r\right)}{y}_{m_0,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0+1}^{\left(i\right)}={\mathrm{<figure-callout\; id="0"\; label="H\; m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">H</figure-callout>}}_{m_{}}^{{}_0,n_0}(a_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0+1}^{\left(r\right)}{a}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0}^{\left(i\right)}-a_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0}^{\left(r\right)}{a}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0+1}^{\left(i\right)})\end{array}\right.$

Ratio when two equations of employing:

$C=\frac{a_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0+1}^{\left(r\right)}{y}_{m_0,n_0}^{\left(r\right)}-a_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0}^{\left(r\right)}{y}_{m_0,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0+1}^{\left(r\right)}}{a_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0}^{\left(r\right)}{y}_{m_0,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0+1}^{\left(i\right)}-a_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0+1}^{\left(r\right)}{y}_{m_0,n_0}^{\left(i\right)}}---\left(10\right)$

And supposition equation (8) can be write as follows:

$\left\{\begin{array}{c}{y}_{m,n}^{\left(r\right)}=H_{m,n}^{\left(r\right)}{a}_{m,n}^{\left(r\right)}-{\mathrm{CH}}_{m,n}^{\left(r\right)}{a}_{m,n}^{\left(i\right)}\\ y_{m,n}^{\left(i\right)}={\mathrm{CH}}_{m,n}^{\left(r\right)}{a}_{m,n}^{\left(r\right)}+H_{m,n}^{\left(r\right)}{a}_{m,n}^{\left(i\right)}\end{array}\right.$

We obtain:

$\left\{\begin{array}{c}{\mathrm{<figure-callout\; id="0"\; label="y\; m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">y</figure-callout>}}_{m_{}}^{{}_0,n_0}={\mathrm{<figure-callout\; id="0"\; label="H\; m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">H</figure-callout>}}_{m_{}}^{{}_0,n_0}{a}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0}^{\left(r\right)}-{\mathrm{<figure-callout\; id="0"\; label="CH\; m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">CH</figure-callout>}}_{m_{}}^{{}_0,n_0}{a}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0}^{\left(i\right)}\\ {\mathrm{<figure-callout\; id="0"\; label="Cy\; m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">Cy</figure-callout>}}_{m_{}}^{{}_0,n_0}=C^2{\mathrm{<figure-callout\; id="0"\; label="H\; m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">H</figure-callout>}}_{m_{}}^{{}_0,n_0}{a}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0}^{\left(r\right)}+{\mathrm{<figure-callout\; id="0"\; label="CH\; m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">CH</figure-callout>}}_{m_{}}^{{}_0,n_0}{a}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0}^{\left(i\right)}\end{array}\right.$

When taking these two equation sums, we obtain:

$H_{m_0{n}_0}^{\left(r\right)}{a}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0}^{\left(r\right)}(1+C^2)=y_{m_0,n_0}^{\left(r\right)}+{\mathrm{<figure-callout\; id="0"\; label="Cy\; m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">Cy</figure-callout>}}_{m_{}}^{{}_0,n_0},$ Thus

${\mathrm{<figure-callout\; id="0"\; label="H\; m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">H</figure-callout>}}_{m_{}}^{{}_0,n_0}=\frac{y_{m_0,n_0}^{\left(r\right)}+{\mathrm{<figure-callout\; id="0"\; label="Cy\; m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">Cy</figure-callout>}}_{m_{}}^{{}_0,n_0}}{a_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0}^{\left(r\right)}(1+C^2)}$ et $H_{m_{}}^{}$ ${{}_0,n_0}_{\left(i\right)}^{}={\mathrm{<figure-callout\; id="0"\; label="CH\; m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">CH</figure-callout>}}_{m_{}}^{{}_0,n_0}$

Therefore, we obtain to think therein that channel is the estimation of the channel in the quite constant neighborhood, and wherein, insert a pair of pilot tone according to embodiment described above here.

More generally, two real pilot tones can be inserted into any position (m ₁, n ₁) and (m ₂, n ₂) signal in, (m wherein ₂=m ₁+ δ m, n ₂=n ₁+ δ n), unique constraint is that in fact described channel remains unchanged with the number that is equivalent to the real symbol of δ n+1 about the frequency number corresponding to δ m+1.

Here solution described above is applied to this ordinary circumstance.

Hereinafter, be described in second example of the execution mode of the reception technique of second modification of this specific embodiment of the present invention under the condition of BFDM/OQAM type modulation.

In this example, be used for estimating thinking therein channel in time the pilot tone of the channel of quite constant neighborhood to comprising position (m ₀, n ₀) first pilot tone with pure empty value

And position (m ₀, n ₀+ 1) have second a real-valued pilot tone

Receiver is known the real-valued of second pilot tone

Do not comprise sign, receiver is also known first pilot tone

In fact, have the sign of value of the pilot tone of pure empty value, be called first pilot tone, depend on to have near the real-valued information data element that this first pilot tone, sends.

A kind of method has hereinafter been described, as the position (m that calculates based on following relation about first pilot tone ₀, n ₀) void when disturbing, be used for determining first pilot tone

The sign of value:

Ω wherein _{P, Q}Corresponding to point (m ₀, n ₀) the neighborhood of time/frequency plane, except central element, be divided at most in time ± a P position, on frequency, be divided into ± a Q position, and

β wherein _{P, q}Be a kind of expression, its real-valued function g and f and the phase term φ of depending on _{M, n}, and its essential element is presented in the appendix A, and this appendix A is the part of this specification.

Hereinafter, P and Q should think and equal 1, and the sign of empty pilot tone is following determines:

If- $a_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0}^{\left(i\right)}<0,$ The pilot tone of void value that then has negative sign is at position (m ₀, n ₀) send, receiver is known its mould (for example ,-1),

If- $a_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0}^{\left(i\right)}>0,$ Then at position (m ₀, n ₀) real-valued pilot tone with positive sign is sent out, receiver is known its mould (for example ,+1).

In case to having the pilot tone of pure empty value

Sign and value have been selected, then at position (m ₀, n ₀+ 1) value with real-valued pilot tone of Fa Songing is determined.

Usually, be enough to obtain $\left|a_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0+1}^{\left(r\right)}\right|>\left|{\mathrm{\&beta;}}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0}^{({\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0+1)}{a}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0}^{\left(r\right)}\right|.$

Preferably,

With

Mould be selected as equating.

Present explanation focus on time/any position received signal of frequency network, it can be interpreted as the result of the product of complex channel and complex coefficient, that is:

$y_{m,n}^{\left(c\right)}=H_{m,n}^{\left(c\right)}{a}_{m,n}^{\left(c\right)}=H_{m,n}^{\left(c\right)}(a_{m,n}^{\left(r\right)}+j{a}_{m,n}^{\left(i\right)}),$ A wherein _{M, n} ^(r)And a _{M, n} ⁽ⁱ⁾Be real-valued (real part of index (r) expression complex value, index (i) expression imaginary part).

We consider an example, wherein have the pilot tone of pure empty value

At position (m ₀, n ₀) send, have real-valued pilot tone

At position (m ₀, n ₀+ 1), wherein:

Empty value have and

Identical sign,

Real-valued and be received device and know.

So we are at position (m ₀, n ₀) and (m ₀, n ₀+ 1) obtain two pilot tones, received signal can be write as follows:

${\mathrm{<figure-callout\; id="0"\; label="y\; m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">y</figure-callout>}}_{m_{}}^{{}_0,n_0}={\mathrm{<figure-callout\; id="0"\; label="H\; m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">H</figure-callout>}}_{m_{}}^{{}_0,n_0}(a_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0}^{\left(r\right)}j+j{a}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0}^{\left(i\right)})$

And

${\mathrm{<figure-callout\; id="0"\; label="y\; m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">y</figure-callout>}}_{m_{}}^{{}_0,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0+1}={\mathrm{<figure-callout\; id="0"\; label="H\; m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">H</figure-callout>}}_{m_{}}^{{}_0,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0+1}(a_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0+1}^{\left(r\right)}+j{a}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0+1}^{\left(i\right)})-{\mathrm{\&beta;}}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0}^{({\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0+1)}{\mathrm{<figure-callout\; id="0"\; label="H\; m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">H</figure-callout>}}_{m_{}}^{{}_0,n_0}{a}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0}^{\left(r\right)}j$

In fact, at position (m ₀, n ₀) send fact initiation with pure empty value ${\mathrm{\&beta;}}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0}^{({\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0+1)}{a}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0}^{\left(r\right)}j\left(\mathrm{avec}\right|{\mathrm{\&beta;}}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0}^{({\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0+1)}|<1)$ Interference, should be called hereinafter intrinsic, at (m ₀, n ₀+ 1).

Can expect that in this second modification of this specific embodiment of the present invention identical with first modification, channel also can be thought substantially constant in time.Therefore can carry out following writing:

${\mathrm{<figure-callout\; id="0"\; label="H\; m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">H</figure-callout>}}_{m_{}}^{{}_0,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0+1}={\mathrm{<figure-callout\; id="0"\; label="H\; m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">H</figure-callout>}}_{m_{}}^{{}_0,n_0}=R*\exp \left(j{\mathrm{\&phi;}}_0\right)$

Wherein R is the mould (therefore, being arithmetic number) of channel, φ ₀It is the phase place of channel.

Can write as follows thus at the signal that the position of two pilot tones receives:

$\left\{\begin{array}{c}{\mathrm{<figure-callout\; id="0"\; label="y\; m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">y</figure-callout>}}_{m_{}}^{{}_0,n_0}={\mathrm{<figure-callout\; id="0"\; label="H\; m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">H</figure-callout>}}_{m_{}}^{{}_0,n_0}j(a_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0}^{\left(r\right)}+a_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0}^{\left(i\right)})\\ {\mathrm{<figure-callout\; id="0"\; label="y\; m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">y</figure-callout>}}_{m_{}}^{{}_0,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0+1}={\mathrm{<figure-callout\; id="0"\; label="H\; m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">H</figure-callout>}}_{m_{}}^{{}_0,n_0}(a_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0+1}^{\left(r\right)}+{\mathrm{\&beta;}}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0}^{({\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0+1)}{a}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0}^{\left(r\right)}j+j{a}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0+1}^{\left(i\right)})\end{array}\right.---\left(11\right)$

At (m ₀, n ₀) (position with pilot tone of pure empty value), received signal is write as follows:

${\mathrm{<figure-callout\; id="0"\; label="y\; m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">y</figure-callout>}}_{m_{}}^{{}_0,n_0}={\mathrm{<figure-callout\; id="0"\; label="H\; m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">H</figure-callout>}}_{m_{}}^{{}_0,n_0}j(a_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0}^r+a_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0}^{\left(i\right)})---\left(12\right)$

If we consider φ according to (12) ₁, i.e. this received signal

Phase place, we obtain:

$-\mathrm{si}{a}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0}^{\left(i\right)}>0{\mathrm{\&phi;}}_0={\mathrm{\&phi;}}_1-\frac{\mathrm{\&pi;}}{2}$

$-\mathrm{si}{a}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0}^{\left(i\right)}<{0\mathrm{\&phi;}}_0={\mathrm{\&phi;}}_1-\frac{\mathrm{\&pi;}}{2}+\mathrm{\&pi;}.$

This is at position (m ₀, n ₀+ 1) signal of (position with real-valued pilot tone) reception provides following equation:

$\exp (-j{\mathrm{\&phi;}}_1+j\frac{\mathrm{\&pi;}}{2}){\mathrm{<figure-callout\; id="0"\; label="y\; m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">y</figure-callout>}}_{m_{}}^{{}_0,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0+1}=\mathrm{Rexp}\left(j({\mathrm{\&phi;}}_0-{\mathrm{\&phi;}}_1+\frac{\mathrm{\&pi;}}{2})\right)(a_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0+1}^{\left(r\right)}+{\mathrm{\&beta;}}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0}^{({\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0+1)}{a}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0}^{\left(r\right)}j+j{a}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0+1}^{\left(i\right)}).$

We should consider now with Two kinds of situations of two sign correspondences:

If a) $a_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0}^{\left(i\right)}>0,$ We can write:

$\exp (-j{\mathrm{\&phi;}}_1+j\frac{\mathrm{\&pi;}}{2}){\mathrm{<figure-callout\; id="0"\; label="y\; m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">y</figure-callout>}}_{m_{}}^{{}_0,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0+1}=R(a_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0+1}^{\left(r\right)}+{\mathrm{\&beta;}}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0}^{({\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0+1)}{a}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0}^{\left(r\right)}j+j{a}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0+1}^{\left(i\right)})$

Provide:

Based on this equation, below can deriving, we assert that this is because know $R(a_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0+1}^{\left(r\right)}+{\mathrm{\&beta;}}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0}^{({\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0+1)}{a}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0}^{\left(r\right)}j)$ Be

Sign:

Be positive, receiver is known its mould, so receiver knows its value,

The phase place of-channel is:

The mould of-channel can be written as:

$\frac{R\left(\exp (-j{\mathrm{\&phi;}}_1+j\frac{\mathrm{\&pi;}}{2}){\mathrm{<figure-callout\; id="0"\; label="y\; m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">y</figure-callout>}}_{m_{}}^{{}_0,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0+1}\right)}{(a_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0+1}^{\left(r\right)}+{\mathrm{\&beta;}}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0}^{({\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0+1)}{a}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0}^{\left(r\right)})j}.$

B) if $a_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0}^{\left(i\right)}<0,$ We can write:

$\exp (-j{\mathrm{\&phi;}}_1+j\frac{\mathrm{\&pi;}}{2}){\mathrm{<figure-callout\; id="0"\; label="y\; m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">y</figure-callout>}}_{m_{}}^{{}_0,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0+1}=-R(a_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0+1}^{\left(r\right)}+{\mathrm{\&beta;}}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0}^{({\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0+1)}{a}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0}^{\left(r\right)}j+{\mathrm{<figure-callout\; id="0"\; label="ja\; m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">ja</figure-callout>}}_{m_{}}^{{}_0,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0+1})$

Provide:

,, below can deriving, we assert that this is because know equally here based on this expression $-R(a_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0+1}^{\left(r\right)}+{\mathrm{\&beta;}}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0}^{({\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0+1)}{a}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0}^{\left(r\right)}j)$ Have with Opposite sign:

Bear, receiver is known its mould, and receiver is known its value thus.

The phase place of-channel is:

The mould of-channel can be write as follows:

$\frac{-R\left(\exp (-j{\mathrm{\&phi;}}_1+j\frac{\mathrm{\&pi;}}{2}){\mathrm{<figure-callout\; id="0"\; label="y\; m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">y</figure-callout>}}_{m_{}}^{{}_0,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0+1}\right)}{(a_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0+1}^{\left(r\right)}+{\mathrm{\&beta;}}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0}^{({\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0+1)}{a}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0}^{\left(r\right)}j)}.$

Under the both of these case, therefore we obtain the estimation of channel, and know

Near the feasible interference in position that can eliminate pilot tone of value with pure empty value.

In this of this specific embodiment second modification (situation), can also repeat and the identical reasoning of first embodiment (situation) based on following equation system with two real pilot tones with real-valued pilot tone and pilot tone with pure empty value:

$\left\{\begin{array}{c}{\mathrm{<figure-callout\; id="0"\; label="y\; m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">y</figure-callout>}}_{m_{}}^{{}_0,n_0}={\mathrm{<figure-callout\; id="0"\; label="H\; m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">H</figure-callout>}}_{m_{}}^{{}_0,n_0}{a}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0}^{\left(r\right)}-{\mathrm{<figure-callout\; id="0"\; label="CH\; m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">CH</figure-callout>}}_{m_{}}^{{}_0,n_0}{a}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0}^{\left(i\right)}\\ y_{m_0,n_0}^{\left(i\right)}={\mathrm{<figure-callout\; id="0"\; label="CH\; m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">CH</figure-callout>}}_{m_{}}^{{}_0,n_0}{a}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0}^{\left(r\right)}+{\mathrm{<figure-callout\; id="0"\; label="H\; m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">H</figure-callout>}}_{m_{}}^{{}_0,n_0}{a}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0}^{\left(i\right)}\\ y_{m_1,n_1}^{\left(r\right)}=-\mathrm{sign}\left(a_{{\mathrm{<figure-callout\; id="1"\; label="m"\; filenames="A20078003086400351.png"\; state="\{\{state\}\}">m</figure-callout>}}_1,n_1}^{\left(r\right)}\right)\left(\right|a_{{\mathrm{<figure-callout\; id="1"\; label="m"\; filenames="A20078003086400351.png"\; state="\{\{state\}\}">m</figure-callout>}}_1,n_1}^{\left(i\right)}|+|a_{{\mathrm{<figure-callout\; id="1"\; label="m"\; filenames="A20078003086400351.png"\; state="\{\{state\}\}">m</figure-callout>}}_1,n_1}^{\left(i\right)}\left|\right){\mathrm{<figure-callout\; id="1"\; label="CH\; m"\; filenames="A20078003086400351.png"\; state="\{\{state\}\}">CH</figure-callout>}}_{m_{}}^{{}_1,n_1}\\ y_{m_1,n_1}^{\left(i\right)}=\mathrm{sign}\left(a_{{\mathrm{<figure-callout\; id="1"\; label="m"\; filenames="A20078003086400351.png"\; state="\{\{state\}\}">m</figure-callout>}}_1,n_1}^{\left(r\right)}\right)\left(\right|a_{{\mathrm{<figure-callout\; id="1"\; label="m"\; filenames="A20078003086400351.png"\; state="\{\{state\}\}">m</figure-callout>}}_1,n_1}^{\left(i\right)}|+|a_{{\mathrm{<figure-callout\; id="1"\; label="m"\; filenames="A20078003086400351.png"\; state="\{\{state\}\}">m</figure-callout>}}_1,n_1}^{\left(i\right)}\left|\right){\mathrm{<figure-callout\; id="1"\; label="H\; m"\; filenames="A20078003086400351.png"\; state="\{\{state\}\}">H</figure-callout>}}_{m_{}}^{{}_1,n_1}\end{array}\right.---\left(13\right)$

Under the particular case shown in Figure 3 described above herein, solution with in the position (m, the situation of the pilot value that n) receives is the same, it can write as follows:

$a_{m,n}=\underset{u=0}{\overset{N-1}{\mathrm{\&Sigma;}}}{a}_{m,n,u}$ And a _{M, n, u}=c _{U (m, n)}d _{M, n}(14)

C wherein _{U (m, n)}Expression is used to discern the extended code of associated user and/or service, and d _{M, n}The expression pilot value.

Referring now to Fig. 5, we present according to the performance curve under the binary fault rate condition of the perfection estimation of the consideration transmission channel 51 of exemplary embodiment of the present invention and estimation channel 52.

According to this example, consider to be used to estimate that the parameter of radio-type channel (being called the space channel pattern) is as follows:

-centre frequency: 2000MHz;

The translational speed of-vehicle: 50km/h;

-path number: 6;

-power general picture (in dB) :-3.0,0.0 ,-2.0 ,-6.0 ,-8.0 ,-10.0;

-time lag general picture (ns): 0,195.315,488.28125,976.5625,2246.09375,4882.8125.

The prototype function of utilizing is the IOTA function of for example describing among the french patent document FR 2733869, has length 4 τ ₀, and each carrier wave is modulated by phase modulated.Binary fault rate when curve 52 expression receives is considered the estimation of channel according to a particular embodiment of the invention, wherein suppose channel on two cline frequencies substantially constant and wherein each to pilot distribution on entire frame.Binary fault rate when another curve 51 expressions receive, the perfection understanding of the transmission channel when considering to send.

Referring now to Fig. 6 A and Fig. 6 B, we have presented according to the dispensing device of specific embodiment described above here and the simplified structure of receiving system.

As shown in Figure 6A, this dispensing device comprises memory 61, processing unit 62, and wherein processing unit 62 for example is equipped with microprocessor μ P and is driven by computer program 63, and wherein computer program 63 is realized according to sending method of the present invention.

During initialization, the code command of computer program 63 for example is loaded among the RAM and is carried out by the processor of processing unit 62 then.During input, processing unit 62 receives the data that will send with the form of information data element.Thereby the microprocessor of processing unit 62 is realized the step of sending method described above here and is made up the multi-carrier signal of the group that comprises at least two real-valued pilot tones, wherein each real-valued pilot tone is positioned at the zone that is called neighborhood of time/frequency space, and neighborhood is the zone of thinking that wherein described transmission channel is quite constant.

For this reason, dispensing device comprises the device of the group of at least two real-valued pilot tones of realization.These devices are by the microprocessor driven of processing unit 62.

The above-mentioned multi-carrier signal of processing unit 62 outputs.

Shown in Fig. 6 B, this receiving system comprises memory 64, processing unit 65, and wherein processing unit 65 for example is equipped with microprocessor μ P and is driven by computer program 66, and wherein computer program 66 is realized according to method of reseptance of the present invention.

During initialization, the code command of computer program 66 for example is loaded among the RAM and is carried out by the processor of processing unit 65 then.During input, processing unit 65 receives the multi-carrier signal y (t) that is received.The microprocessor of processing unit 65 is realized the step of method of reseptance described herein according to the instruction of computer program 66, with the data of estimating that transmission channel and decoding receive.For this reason, described receiving system comprises, behind described transmission channel, extracts the device of at least two complex values corresponding with the pilot tone of described neighborhood group and estimates the real part of the described transmission channel in the described neighborhood and the device of imaginary part from described complex value.These devices are by the microprocessor driven of processing unit 65.

Appendix A

Calculate the constant relevant with phase place with keynote system function

Hereinafter, we have presented the real constant of calculating

Method, for example:

Wherein

Expression

Imaginary part.

Can expect that at first the multi-carrier signal of transmission can be write with following form:

If also supposing transmission channel is perfectly, when then for example it equals (1) when employing, at least partly, provided the estimation of the coefficient that sends below:

${\hat{a}}_{m,n}^{\left(c\right)}=\underset{n^{\&prime;},m^{\&prime;}}{\mathrm{\&Sigma;}}\left[{\&Integral;f}_{m,n}^{*}\left(t\right)g_{m^{\&prime;},n^{\&prime;}}\left(t\right)\mathrm{dt}\right]a_{m^{\&prime;},n^{\&prime;}}---\left(17\right)$

Suppose ${\mathrm{\&beta;}}_{m^{\&prime;},n^{\&prime;}}^{(m,n)}=\&Integral;f_{m,n}^{*}\left(t\right)g_{m^{\&prime;},n^{\&prime;}}\left(t\right)\mathrm{dt}---\left(18\right),$

To biorthogonal function f and g, we obtain

Provide:

Keep a distracter thus, wherein as assessment β _{M ', n '}The time can be to any pilot tone in neighborhood P * Q

It is assessed.

Be also noted that:

Expression formula to keynote system function and demodulation function develops, and we obtain:

${\mathrm{\&beta;}}_{m^{\&prime;},n^{\&prime;}}^{(m,n)}=e^{j({\mathrm{\&phi;}}_{m^{\&prime;,n^{\&prime;}}}-{\mathrm{\&phi;}}_{m,n})}\&Integral;f^{*}(t-n{\mathrm{\&tau;}}_0)g(t-n^{\&prime;}{\mathrm{\&tau;}}_0)e^{j2\mathrm{\&pi;}(m^{\&prime;}-m)v_{0}t}\mathrm{dt}---\left(21\right)$

At (m ₀, n ₀) neighborhood P * Q in, adopt m=m ₀, n=n ₀, m '=m ₀+ p and n '=n ₀+ q can write this equation again, provides:

${\mathrm{\&beta;}}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0+p,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0+q}^{({\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0)}=e^{j({\mathrm{\&phi;}}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0+p,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0+q}-{\mathrm{\&phi;}}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0})}\&Integral;f^{*}(t-{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0{\mathrm{\&tau;}}_0)g(t-({\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0+p){\mathrm{\&tau;}}_0)e^{j2\mathrm{\&pi;p}{v}_{0}t}\mathrm{dt}---\left(22\right)$

${\mathrm{\&beta;}}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0+p,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0+q}^{({\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0)}={(-1)}^{n_{0}p}{e}^{j({\mathrm{\&phi;}}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0+p,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0+q}-{\mathrm{\&phi;}}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0})}\&Integral;f^{*}\left(t\right)g(t-p{\mathrm{\&tau;}}_0)e^{j2\mathrm{\&pi;p}{v}_{0}t}\mathrm{dt}---\left(23\right)$

Notice thus, under the biorthogonal situation, can obtain factor beta, perhaps under quadrature condition, can obtain factor beta from ambiguity function g from intersection ambiguity function f and g.

Numerical value assessment to it utilizes the finite length filter to obtain f and g, if directly finish this calculating with discrete form, then this calculating is more accurate.This discrete form is as follows:

${\mathrm{\&beta;}}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0+p,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0+q}^{({\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0)}={(-1)}^{n_{0}p}{e}^{j({\mathrm{\&phi;}}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0+p,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0+q}-{\mathrm{\&phi;}}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0})}\underset{k}{\mathrm{\&Sigma;}}{f}^{*}\left[k\right]g[k-\mathrm{qN}]e^{j\frac{2\mathrm{\&pi;}}{2N}p(k-\frac{D}{2})}---\left(24\right)$

D=α N-γ wherein, M=2N.

For its transplanting on the receiving terminal of multiplexer, preferred consider true: must consider that α delay of taking a sample use these coefficients.

Hereinafter, under the condition with OFDM/OQAM type modulation real and the continuous prototype function of parity check, we present the example of two definite factor beta.

By ${\mathrm{\&phi;}}_{m,n}=\frac{\mathrm{\&pi;}}{2}(n+m)$ The phase place of definition

Suppose:

${\mathrm{\&phi;}}_{m,n}=\frac{\mathrm{\&pi;}}{2}(n+m)---\left(25\right)$

Equation (22) becomes:

${\mathrm{\&beta;}}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0+p,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0+q}^{({\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0)}={(-1)}^{n_{0}p}{e}^{j\frac{\mathrm{\&pi;}}{2}(p+q)}\&Integral;g\left(t\right)g(t-q{\mathrm{\&tau;}}_0)e^{j2\mathrm{\&pi;p}{v}_{0}t}\mathrm{dt}---\left(26\right)$

We have introduced the ambiguity function of function x then, have the symbol among the patent documentation WO 02/25884 described above here:

$A_x(\mathrm{\&tau;},v)=\&Integral;x(t+\frac{\mathrm{\&tau;}}{2})\&CenterDot;x^{*}(t-\frac{\mathrm{\&tau;}}{2})e^{-j2\mathrm{\&pi;vt}}\mathrm{dt}.$

Variable in changing equation (26) $t=t^{\&prime;}+\frac{q{\mathrm{\&tau;}}_0}{2}$ The time, we obtain:

${\mathrm{\&beta;}}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0+p,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0+q}^{({\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0)}={(-1)}^{n_{0}p}{e}^{j\frac{\mathrm{\&pi;}}{2}(p+q)}\&Integral;g(t+\frac{q{\mathrm{\&tau;}}_0}{2})g(t-\frac{q{\mathrm{\&tau;}}_0}{2})e^{j2\mathrm{\&pi;p}{v}_0\left(t\frac{q{\mathrm{\&tau;}}_0}{2}\right)}\mathrm{dt}$

Know ${\mathrm{<figure-callout\; id="0"\; label="v"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">v</figure-callout>}}_0{\mathrm{\&tau;}}_0=\frac{1}{2},$ Obtain expression then:

${\mathrm{\&beta;}}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0+p,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0+q}^{({\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0)}=-{(-1)}^{n_{0}p}{e}^{j\frac{\mathrm{\&pi;}}{2}((p+q)+\mathrm{pq})}A(q{\mathrm{\&tau;}}_0,{\mathrm{pv}}_0).$

Suppose that function A is real under this accurate situation, may verify factor beta then _{P, q}It is pure empty value.

By ${\mathrm{\&phi;}}_{m,n}=\frac{\mathrm{\&pi;}}{2}(n+m)+\mathrm{\&pi;nm}$ The phase place of definition

When carrying out calculating same as described above, suppose ${\mathrm{\&phi;}}_{m,n}=\frac{\mathrm{\&pi;}}{2}(n+m)+\mathrm{\&pi;nm},$ We obtain:

${\mathrm{\&beta;}}_{{\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0+p,{\mathrm{<figure-callout\; id="0"\; label="n"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">n</figure-callout>}}_0+q}^{({\mathrm{<figure-callout\; id="0"\; label="m"\; filenames="A20078003086400371.png"\; state="\{\{state\}\}">m</figure-callout>}}_0,n_0)}=-{(-1)}^{m_{0}q+\mathrm{pq}}{e}^{j\frac{\mathrm{\&pi;}}{2}((p+q)+\mathrm{pq})}A(q{\mathrm{\&tau;}}_0,p{v}_0).$

Claims (17)

1. method, be used to receive send via transmission channel by at least one sender device, with the corresponding received signal of multi-carrier signal that realizes that the OQAM type is modulated,

Described multi-carrier signal is formed by the time continuous symbol that forms with one group of data element, and described one group of data element comprises:

-real-valued information data element, and

-be used for the reference data element of at least some described symbols, be called pilot tone, be designed for known to the receiver that receives described multi-carrier signal by at least one,

In the described data element each is modulated the carrier frequency of described signal, carrier frequency by the modulation of one of described data element is called carrier wave, it is characterized in that at least two pilot tone (P1, P2) group (221), each described pilot tone is positioned at the zone that is called neighborhood (22) of time/frequency space, neighborhood is to think the zone of described transmission channel constant therein, and at least one in described group comprises at least one real-valued pilot tone and at least one pure empty value pilot tone

Described method of reseptance comprises, in the described neighborhood (22) at least one:

-extraction step (31) by behind the described transmission channel, extracts at least two the corresponding complex values of pilot tone with the group of described neighborhood,

-estimating step (33) is estimated the real part and the imaginary part of the described transmission channel in the described neighborhood from described complex value.

2. the described method of reseptance of claim 1 is characterized in that: each of described each group comprises a pair of pilot tone.

3. the described method of reseptance of claim 2 is characterized in that: to described each to each of pilot tone, described estimating step is implemented the separating of system of four equations of four known variables.

4. the described method of reseptance of claim 3 is characterized in that: to comprising at least one real-valued pilot tone and at least one pure empty value pilot tone described group, and equation below the described system implementation:

$\left\{\begin{array}{c}{y}_{m_0,n_0}^{\left(r\right)}=H_{m_0,n_0}^{\left(r\right)}{a}_{m_0,n_0}^{\left(r\right)}-{\mathrm{CH}}_{m_0,n_0}^{\left(r\right)}{a}_{m_0,n_0}^{\left(i\right)}\\ y_{m_0,n_0}^{\left(i\right)}={\mathrm{CH}}_{m_0,n_0}^{\left(r\right)}{a}_{m_0,n_0}^{\left(r\right)}+H_{m_0,n_0}^{\left(r\right)}{a}_{m_0,n_0}^{\left(i\right)}\\ y_{m_1,n_1}^{\left(r\right)}=-\mathrm{sign}\left(a_{m_1,n_1}^{\left(i\right)}\right)\left(\right|a_{m_1,n_1}^{\left(r\right)}|+|a_{m_1,n_1}^{\left(i\right)}\left|\right){\mathrm{CH}}_{m_1,n_1}^{\left(r\right)}\\ y_{m_1,n_1}^{\left(i\right)}=\mathrm{sign}\left(a_{m_1,n_1}^{\left(i\right)}\right)\left(\right|a_{m_1,n_1}^{\left(r\right)}|+|a_{m_1,n_1}^{\left(i\right)}\left|\right)H_{m_1,n_1}^{\left(r\right)}\end{array}\right.$

Wherein:

-(m ₀, n ₀) be the primary importance of the time/frequency space in the neighborhood, (m ₁, n ₁) be the second place of the time/frequency space in the neighborhood,

With

Be real-valued, equal at (m respectively ₀, n ₀) real part and the imaginary part of complex value of the signal that receives,

With

Be real-valued, equal to be positioned at position (m respectively ₁, n ₁) the real part and the imaginary part of complex value of carrier wave,

Be at position (m ₀, n ₀) the real part of complex value of described transmission channel, and

Be at position (m ₁, n ₁) the real part of complex value of described transmission channel, wherein

Equal Think described transmission channel constant in described neighborhood,

With

Be real-valued, equal respectively at position (m ₀, n ₀) the real part and the imaginary part of complex value of described real-valued pilot tone of group of described neighborhood;

Be and position (m ₁, n ₁) the imaginary part of the interference that causes of the adjacent described information element of described pure empty value pilot tone of group of described neighborhood,

Be at position (m ₁, n ₁) the void value of reception of described pure empty value pilot tone of group of described neighborhood,

-C is a real number.

5. one of any described method of reseptance of claim 1 to 4, it is characterized in that: described estimating step realizes the intermediate computations of the described real part of described complex value and the ratio (32) between the described imaginary part.

6. one of any described method of reseptance of claim 1 to 5 is characterized in that: this method of reseptance comprises the step of the intrinsic interference that elimination is caused by described pure empty value pilot tone.

A reception send via transmission channel by at least one transmitter, with the device of realizing the received signal that multi-carrier signal that the OQAM type is modulated is corresponding,

Described multi-carrier signal is formed by the time continuous symbol that forms with one group of data element, and described one group of data element comprises:

-real-valued information data element, and

-be used for the reference data element of at least some described symbols, be called pilot tone, be designed for known to the receiver that receives described multi-carrier signal by at least one,

In the described data element each is modulated the carrier frequency of described signal, carrier frequency by the modulation of one of described data element is called carrier wave, it is characterized in that at least two pilot tone (P1, P2) group (221), each described pilot tone is positioned at the zone that is called neighborhood (22) of time/frequency space, neighborhood is wherein to think the zone of described transmission channel constant, and at least one in described group comprises at least one real-valued pilot tone and at least one pure empty value pilot tone

Described receiving system comprises, in the described neighborhood (22) at least one:

-be used for after passing through described transmission channel, the device (31) of at least two complex values that extraction is corresponding with the pilot tone of the group of described neighborhood,

-be used for estimating the real part of the described transmission channel in the described neighborhood and the device of imaginary part (33) from described complex value.

8. computer program, it can download and/or be stored on the computer readable carrier and/or can be carried out by processor from communication network, comprises that code instructions is to realize the method for reseptance according at least one of claim 1 to 6.

9. sending method is used to realize the multi-carrier signal of OQAM type modulation, and this multi-carrier signal intention sends via transmission channel, and is formed by the time continuous symbol that one group of data element forms, and described one group of data element comprises:

-real-valued information data element, and

-be used for the reference data element of at least some described symbols, be called pilot tone, be designed for known to the receiver that receives described multi-carrier signal by at least one,

Each of described data element is modulated the carrier frequency of described signal, carrier frequency by the modulation of one of described data element is called carrier wave, it is characterized in that at least two pilot tone (P1 of described sending method enforcement, P2) group (221), described each pilot tone is positioned at the zone that is called neighborhood (22) of time/frequency space, neighborhood is wherein to think the zone of described transmission channel constant, and at least one in described group comprises at least one real-valued pilot tone and at least one pure empty value pilot tone.

10. the described sending method of claim 9 is characterized in that: each of described each group comprises a pair of pilot tone.

11. claim 9 and 10 one of any described sending methods, it is characterized in that: this sending method comprises the step of the attribute of determining described pilot tone, and wherein said attribute belongs to the group that comprises real attribute and pure empty attribute.

12. described sending method that one of claim 9 to 11 is any is characterized in that: this sending method comprises the step of the sign of determining described empty value pilot tone.

13. claim 11 and 12 one of any described sending methods is characterized in that: described at least one step that is used for determining the sign of the attribute of described pilot tone and described empty value pilot tone depends on the value of at least one the information data element adjacent with described each pilot tone.

14. claim 12 and 13 described sending methods is characterized in that: the sign adjacent to the value of the distracter of the described information data element initiation of described pilot tone on the sign of described pure empty value pilot tone and the described pilot tone is identical.

15. a device that sends the multi-carrier signal of realizing the modulation of OQAM type, this multi-carrier signal intention sends via transmission channel, and is formed by the time continuous symbol that forms with one group of data element, and described one group of data element comprises:

-real-valued information data element, and

-be used for the reference data element of at least some described symbols, be called pilot tone, be designed for known to the receiver that receives described multi-carrier signal by at least one,

Each of described data element is modulated the carrier frequency of described signal, carrier frequency by the modulation of one of described data element is called carrier wave, it is characterized in that described dispensing device comprises is used for implementing at least two pilot tone (P1, the device of group P2) (221), described each pilot tone is positioned at the zone that is called neighborhood (22) of time/frequency space, neighborhood is wherein to think the zone of described transmission channel constant, and at least one in described group comprises at least one real-valued pilot tone and at least one pure empty value pilot tone.

16. a computer program, it can download and/or be stored on the computer readable carrier and/or can be carried out by processor from communication network, comprises that code instructions is to realize according at least one the sending method in the claim 9 to 14.

17. a multi-carrier signal of realizing the modulation of OQAM type, the time continuous symbol that is formed by one group of data element forms, and described one group of data element comprises:

-real-valued information data element, and

-be used for the reference data element of at least some described symbols, be called pilot tone, be designed for known to the receiver that receives described multi-carrier signal by at least one,

Each of described data element is modulated the carrier frequency of described signal, carrier frequency by the modulation of one of described data element is called carrier wave, it is characterized in that described one group of data element comprises at least two pilot tone (P1, P2) group (221), described each pilot tone is positioned at the zone that is called neighborhood (22) of time/frequency space, neighborhood is wherein to think the zone of described transmission channel constant, in described group at least one is made up of a pair of pilot tone, and described a pair of pilot tone comprises at least one real-valued pilot tone and at least one pure empty value pilot tone.

Images