CN103259637B - A kind of multi-carrier data transmission method - Google Patents

Abstract

A kind of multi-carrier data transmission method, the method utilizes at least two subcarrier, subchannel transmission data.It is characterized in that, be made up of multi-level and multi code Rate of Chinese character the subcarrier combination including harmonic wave offset modulation subcarrier for transmitting the subchannel of data.Same layer subcarrier is at time domain orthogonal, and certain subcarrier of same layer must be overlapping with another subcarrier spectrum, it is impossible to isolated with split spectrum and by wave filter.The signal that a same layer subcarrier straton carrier wave adjacent with spectrum overlapping of spectrum overlapping combines with the form of being multiplied, can divide into the orthogonal or subchannel of nearly orthogonal by correlation demodulation, and subchannel number is the product of each straton variable number.It is further characterized in that, utilizes downward Fourier space or fractional bit rate orthogonal function, improve the number of subchannel wide during given bandwidth；Existing subchannel basis adds new subchannel；Similar performance is obtained with the papr less compared with prior art.

Description

A kind of multi-carrier data transmission method

Technical field

The present invention relates to the multi-transceiver technology in communication technology, be a kind of multi-carrier data transmission method, the method utilizes At least two subcarrier, subchannel transmission data.For transmitting the subchannel of data by including that harmonic wave offset modulation subcarrier exists Interior multi-level and multi code Rate of Chinese character the subcarrier combination that is divided into is constituted.

Background technology

At communication technical field, the origin of multi-transceiver technology at least can trace back to last century five, the sixties, theoretic Inquiring into and then can trace back to period earlier, OFDM technology is the typical case of multi-transceiver technology, proposes the quick of ofdm system from 1971 Rise when Fourier transformation (FFT) and inverse transformation (IFFT) implementation method, be rapidly developed, to today at communication technical field Obtain extensively application.

The transmission of ofdm system data is characterized by, and breaks a channel into some orthogonal sub-channels, data to be transmitted is reduced code Rate, decomposes to be carried on many subcarriers and transmits.One complex base band OFDM symbols s (t) can be expressed asEach complex valued subcarrierThe main lobe of spectrum occupy wide 2/T bandwidth, between subcarrier Frequency spectrum has 1/2 overlap, the main lobe of 2N real-valued subcarrier spectrum occupied bandwidth (N+1)/T altogether.Use the communication system of ofdm signal In bandwidth (N+1)/T, being 2N for transmitting the number of subchannels of real data, average every T second sends symbolic number 2N.According to subchannel The number of (orthogonal function) calculates divided by 2WT and weighs the availability of frequency spectrum, and wherein T is signal duration (or symbol duration), W It it is the bandwidth that occupies of signal main lobe.The number of the subchannel (orthogonal function) of ofdm signal form is 2N, and signal main lobe occupies Bandwidth is (N+1)/T, and 2N is divided by 2 × [(N+1)/T] × T, it is known that using the communication system of ofdm signal, its availability of frequency spectrum is N/(N+1).Ofdm signal has many advantages, mainly has, and (1) ofdm signal is made up of multiple subcarriers, each subcarrier Pairwise orthogonal.In the case of bandwidth is certain, by the elongation sign persistent period, the subcarrier of transmitting data in parallel (namely son Channel) number increase, subchannel bandwidth narrows.Therefore, anti-multipath, in antagonism burst type impulse disturbances, is done by ofdm signal form Disturb and have significant advantage with frequency selectivity disturber's mask；(2) can by increasing sub-carrier number N, with the form of N/ (N+1) or Person says efficiency, reaches high spectrum utilization, but brings the problem that papr is bigger simultaneously.

Existing ofdm signal form another key technical point is that, the subcarrier of ofdm signal or sub-channel parallel transmission number According to, each subcarrier namely every sub-channels, its symbol period is equal.The i.e. multi-carrier data transmission of ofdm signal is Single code check sub-channel parallel transmission data.When being combined with CDMA technology, prior art or by a pseudo-random code sequence A cycle each chip distribute on different sub-channels (Multicarrier CDMA)；Or code sequence is divided Fit over (Multicarrier DS-CDMA) on different subcarriers；Or data stream is become parallel from serial, formed Ofdm signal, then with long spread spectrum code spread spectrum (Multitone CDMA).Main lobe or main energetic with the spectrum of data stream occupy band Wide W symbol period simultaneously is T meter, and the availability of frequency spectrum of these technical methods all can not reach 1 and less can exceed that 1, namely be used for The number of the orthogonal function loading and sending data all can not reach and exceed 2WT.Additionally, be technically difficult to take into account needs long week The application of phase spread spectrum code, high spreading gain and suppression peak-to-average power.

Therefore, first, use the communication system of ofdm signal form, availability of frequency spectrum N/ (N+1) is with subcarrier (sub-letter Road) increase of number, infinite approach 1, but 1 can not be reached and exceeded.Second, use the communication system of ofdm signal form, reach During to higher frequency spectrum utilization rate, the number needing subcarrier is relatively big, and the availability of frequency spectrum increased with N/ (N+1) form, according to frequency Spectrum utilization rate and required subcarrier number contrast considers, inefficient, simultaneously subcarrier number peak value greatly and during parallel transmission Mean power is bigger.

Summary of the invention

For the deficiency of multi-transceiver technology employed in current communication technology, including ofdm signal form communication system with And ofdm signal combines the communication system of CDMA.Its availability of frequency spectrum i.e. can not reach 1, according to the availability of frequency spectrum and required sub-load The contrast of ripple number is inefficient, and the defect such as subcarrier number is big and papr is bigger during parallel transmission.This Bright offer one utilizes downward Fourier space, fractional bit rate orthogonal function, constructor carrier wave, and multiple subcarriers are pressed one Determining step, program and specification and be divided into different code check and different level, that combines composition data transfer signal includes that harmonic wave skew is adjusted Subcarriers is at interior multi-carrier data transmission method.

The multi-carrier data transmission method of this technological invention, it is possible to increase the availability of frequency spectrum namely data transmission capacity, energy Enough under the conditions of same frequency spectrum utilization rate, reduce subcarrier number thus reduce papr.Its principle, according to being, is given Determine function duration T and to find a function under conditions of the Energy distribution of frequency domain concentrates in given bandwidth W, under structure simultaneously Prolong Fourier space and fractional bit rate orthogonal function, be combined, can produce and more meet time limit T band limit W condition simultaneously Orthogonal function.Its principle is according to also residing in, and various level orthogonal function is combined, the number of the function of the nearly orthogonal of generation Being the product of various level orthogonal function number, therefore the number of orthogonal function and nearly orthogonal function can the property taken advantage of increase again Add.

In order to realize above-mentioned technical purpose, the technical scheme is that, be multi-code in order to transmit the signal form of data Rate subcarrier combination signal form, shows as multilayer form when signal code rate variance is bigger.Its implication is, multiple different subcarriers Between any one subcarrier must be with another subcarrier spectrum aliasing, when frequency domain can not separate with wave filter, this is a little Carrier wave is one group of subcarrier.When the bandwidth of each in two groups of subcarrier one of which with another organize whole subcarrier bandwidth it Being two-layer subcarrier with when comparing and differ more than ten times, two groups of subcarriers adhere to two different layers separately.Many group subcarriers are appointed Anticipate when two components belong to different layers and be multilamellar sub-carrier signal form.The same layer subcarrier of spectrum overlapping and the phase of spectrum overlapping When an adjacent straton carrier wave combines with the form that is multiplied, the wherein bandwidth of all subcarrier of the bandwidth ratio of one layer of each subcarrier another layer Big more than 10 times of sum so that the form composite signal of being multiplied can divide into the orthogonal or son letter of nearly orthogonal by correlation demodulation Road, the number of composite signal subchannel is equal to the product of each straton variable number, i.e. the increase of subchannel number has the property taken advantage of again. Same layer subcarrier is at time domain orthogonal, and certain subcarrier of same layer must be overlapping with another subcarrier spectrum, it is impossible to segmentation frequency Compose and isolated by wave filter.

Described subcarrier Mathematical representation is a function, can be separately formed subchannel, or with two or more subcarrier phase Taking advantage of form to constitute subchannel, the Mathematical representation of subchannel is that data are multiplied by a function or the product of two or more function.

This technological invention can be expressed as s (t)=s in order to the baseband signal form transmitting data_I(t)cos2πf_ct+s_Q(t) sin2πf_cT, wherein f_cIt is carrier frequency, s_xT the canonic form of () has signal form one and signal form two, signal form one s_xT () can be expressed as $s_x\left(t\right)=\left\{{\mathrm{\Σ}}_{l=1}^{L\left(x\right)}{d}^{\left(l\right)\left(x\right)}\left(t\right)c^{\left(l\right)\left(x\right)}\left(t\right)\right\}\left\{{\mathrm{\Σ}}_{k=1}^{K\left(x\right)}{{\mathrm{\α}}_k}^{\left(x\right)}\cos (2\mathrm{\π}{f_k}^{\left(x\right)}t+{{\mathrm{\θ}}_k}^{\left(x\right)})\right\},$ X=I or x=Q represents s_I (t),s_QT (), L (x) and K (x) are fixed integers, i.e. s_I(t) and s_QThe desirable different integers of L in (t), K.In formula, ${\mathrm{\Σ}}_{l=1}^{L\left(x\right)}{d}^{\left(l\right)\left(x\right)}\left(t\right)c^{\left(l\right)\left(x\right)}\left(t\right)={\mathrm{\Σ}}_{l=1}^{L\left(x\right)}\left\{d_i^{\left(l\right)\left(x\right)}{g}^{\left(l\right)\left(x\right)}(t-i{T}_d^{\left(l\right)\left(x\right)})\right\{{\mathrm{\Σ}}_n{c}_n^{\left(l\right)\left(x\right)}{h}^{\left(l\right)\left(x\right)}(t-{\mathrm{nT}}_c^{\left(l\right)\left(x\right)})\left\}\right\},$ h^(l)(x)T () is lasting TimeTime domain waveform,It is that its numerical value of sequence can be appointed and taken； $d^{\left(l\right)\left(x\right)}\left(t\right)={\mathrm{\Σ}}_i{d}_i^{\left(l\right)\left(x\right)}{g}^{\left(l\right)\left(x\right)}(t-i{T}_d^{\left(l\right)\left(x\right)})$ It is L circuit-switched data,For data bit persistent period, g^(l)(x)T () is the persistent periodTime domain waveform,It is to send number According to；Represent according to sequenceValue change frequency values,Represent according to sequenceThe phase place of change Value,Represent according to sequenceThe function of change. $\left\{{\mathrm{\Σ}}_{k=1}^{K\left(I\right)}{\mathrm{\α}}_k\cos (2\mathrm{\π}{f_k}^{\left(I\right)}t+{{\mathrm{\θ}}_k}^{\left(I\right)})\right\}$ With $\left\{{\mathrm{\Σ}}_{k=1}^{K\left(Q\right)}{{\mathrm{\α}}_k}^{\left(Q\right)}\cos (2\mathrm{\π}{f_k}^{\left(Q\right)}t+{{\mathrm{\θ}}_k}^{\left(Q\right)})\right\}$ It is harmonic wave subcarrier, f_k ^(x)For harmonic wave sub-carrier frequencies, α_k ^(x)It is that its numerical value of coefficient can Appointing and take, harmonic wave sub-carrier phase is θ_k ^(x)Its numerical value can be appointed and taken.

This technological invention is further characterized in that, as data sequence { d_n ^(I)And { d_n ^(Q)When being equal to constant 1, there is a T It is allWithCommon multiple, $\left\{{\mathrm{\Σ}}_{l=1}^{L\left(x\right)}{d}^{\left(l\right)\left(x\right)}\left(t\right)c^{\left(l\right)\left(x\right)}\left(t\right)\right\}=\left\{{\mathrm{\Σ}}_{l=1}^{L\left(x\right)}{d}^{\left(l\right)\left(x\right)}(t\±\mathrm{NT})c^{\left(l\right)\left(x\right)}(t\±\mathrm{NT})\right\}$ To integer N sets up, $\left\{{\mathrm{\Σ}}_{l=1}^{L\left(x\right)}{d}^{\left(l\right)\left(x\right)}\left(t\right)c^{\left(l\right)\left(x\right)}\left(t\right)\right\}$ Repeat with T for the cycle；All harmonic wave subcarriers $\left\{{\mathrm{\Σ}}_{k=1}^{K\left(x\right)}{{\mathrm{\α}}_k}^{\left(x\right)}\cos (2\mathrm{\π}{f_k}^{\left(x\right)}t+{{\mathrm{\θ}}_k}^{\left(x\right)})\right\}$ With each functionHolding position Timing Synchronization, time a length of T integral multiple time interval on keep frequency and phase Invariant position.The frequency of each harmonic wave subcarrier is f_k ^(x), phase place is θ_k ^(x)。

The feature of this technological invention is, the difference of any two harmonic wave sub-carrier frequenciesMore than or equal to twiceBandwidth, i.e. $\left\{{\mathrm{\Σ}}_{l=1}^{L\left(x\right)}{d}^{\left(l\right)\left(x\right)}\left(t\right)c^{\left(l\right)\left(x\right)}\left(t\right)\right\}{{\mathrm{\α}}_i}^{\left(x\right)}\cos (2\mathrm{\π}{f}_i^{\left(x\right)}t+{\mathrm{\θ}}_i^{\left(x\right)})$ With $\left\{{\mathrm{\Σ}}_{l=1}^{L\left(x\right)}{d}^{\left(l\right)\left(x\right)}\left(t\right)c^{\left(l\right)\left(x\right)}\left(t\right)\right\}{{\mathrm{\α}}_j}^{\left(x\right)}\cos (2\mathrm{\π}{f}_j^{\left(x\right)}t+{\mathrm{\θ}}_j^{\left(x\right)})$ Frequency spectrum separable at frequency domain.

The feature of this technological invention is, when

${\mathrm{\Σ}}_{l=1}^{L\left(x\right)}{d}^{\left(l\right)\left(x\right)}\left(t\right)c^{\left(l\right)\left(x\right)}\left(t\right)={\mathrm{\Σ}}_{l=1}^{L\left(x\right)}\left\{d_i^{\left(l\right)\left(x\right)}{g}^{\left(l\right)\left(x\right)}(t-i{T}_d^{\left(l\right)\left(x\right)})\right\{{\mathrm{\Σ}}_n{c}_n^{\left(l\right)\left(x\right)}{h}^{\left(l\right)\left(x\right)}(t-{\mathrm{nT}}_c^{\left(l\right)\left(x\right)})\left\}\right\}$ In L (x) When=1, if $s_x\left(t\right)=\left\{{\mathrm{\Σ}}_n{d_n}^{\left(x\right)}{g}^{\left(x\right)}(t-n{T_d}^{\left(x\right)})\right\}\left\{{\mathrm{\Σ}}_n{c_n}^{\left(x\right)}{h}^{\left(x\right)}(t-{\mathrm{nT}}_c^{\left(x\right)})\right\}\left\{{\mathrm{\Σ}}_{k=1}^{K\left(x\right)}{{\mathrm{\α}}_k}^{\left(x\right)}\cos (2\mathrm{\π}{f_k}^{\left(x\right)}t+{{\mathrm{\θ}}_k}^{\left(x\right)})\right\}$ In C_n ^(x)It is spread spectrum code, then s_xT the band that supports of () is wider than at least one d of border occupied bandwidth in fact^(x)(t)c^(x)(t) wide frequency Journey.

This technological invention is further characterized in that, whenSimultaneously ${\mathrm{\Σ}}_{l=1}^{L\left(x\right)}{d}^{\left(l\right)\left(x\right)}\left(t\right)c^{\left(l\right)\left(x\right)}\left(t\right)={\mathrm{\Σ}}_{l=1}^{L\left(x\right)}{d}^{\left(l\right)\left(x\right)}\left(t\right)={\mathrm{\Σ}}_{l=1}^{L\left(x\right)}{d}_i^{\left(l\right)\left(x\right)}{g}^{\left(l\right)\left(x\right)}(t-{\mathrm{iT}}_d^{\left(l\right)\left(x\right)})$ Time, L (x) >=2 and g^(l)(x)In (t) at least Having one is downward Fourier space or fractional bit rate orthogonal function.

This technological invention is further characterized in that, whenSimultaneously ${\mathrm{\Σ}}_{l=1}^{L\left(x\right)}{d}^{\left(l\right)\left(x\right)}\left(t\right)c^{\left(l\right)\left(x\right)}\left(t\right)={\mathrm{\Σ}}_{l=1}^{L\left(x\right)}{d}^{\left(l\right)\left(x\right)}\left(t\right)c^{\left(x\right)}\left(t\right)={\mathrm{\Σ}}_{l=1}^{L\left(x\right)}{\mathrm{\Σ}}_i\left\{d_i^{\left(l\right)\left(x\right)}{g}^{\left(l\right)\left(x\right)}(t-i{T}_d^{\left(l\right)\left(x\right)}){\mathrm{\Σ}}_n{c_n}^{\left(x\right)}{h}^{\left(x\right)}(t-{\mathrm{nT}}_c^{\left(x\right)})\right\}$ Time, L (x) >=2 and g^(l)(x)In (t) at least one be downward Fourier space or fractional bit rate orthogonal function.

This technological invention is further characterized in that, whenSimultaneously ${\mathrm{\Σ}}_{l=1}^{L\left(x\right)}{d}^{\left(l\right)\left(x\right)}\left(t\right)c^{\left(l\right)\left(x\right)}\left(t\right)={\mathrm{\Σ}}_{l=1}^{L\left(x\right)}\left\{{\mathrm{\Σ}}_n\right[{\mathrm{\Σ}}_i{d_n}^{\left(l\right)\left(x\right)}{c}_i^{\left(l\right)\left(x\right)}{h}^{\left(l\right)\left(x\right)}(t-i{T_c}^{\left(l\right)\left(x\right)})\left]g^{\left(l\right)\left(x\right)}(t-n{T_d}^{\left(l\right)\left(x\right)})\right\}$ Time, L (x) >=2 and h^(l)(x)In (t) at least one be downward Fourier space or fractional bit rate orthogonal function.

This technological invention is further characterized in that, whenSimultaneously ${\mathrm{\Σ}}_{l=1}^{L\left(x\right)}{d}^{\left(l\right)\left(x\right)}\left(t\right)c^{\left(l\right)\left(x\right)}\left(t\right)={\mathrm{\Σ}}_{l=1}^{L\left(x\right)}\left\{{\mathrm{\Σ}}_i{d}_i^{\left(l\right)\left(x\right)}{g}^{\left(l\right)\left(x\right)}(t-i{T}_d^{\left(l\right)\left(x\right)})\right[{\mathrm{\Σ}}_n{c}_n^{\left(l\right)\left(x\right)}{h}^{\left(l\right)\left(x\right)}(t-n{T}_c^{\left(l\right)\left(x\right)})\left]\right\}$ Time, L (x) >=2 and h^(l)(x)(t) or g^(l)(x)In (t) at least one be downward Fourier space or fractional bit rate orthogonal function.

This technological invention is further characterized in that, when $h^{\left(i_1\right)\left(x\right)}\left(t\right)=h^{\left(i_2\right)\left(x\right)}\left(t\right)=...=h^{\left(i_k\right)\left(x\right)}\left(t\right)$ Time, $g^{\left(i_1\right)\left(x\right)}\left(t\right),g^{\left(i_2\right)\left(x\right)}\left(t\right),...,g^{\left(i_k\right)\left(x\right)}\left(t\right)$ The most unequal and at time domain orthogonal, the spectrum aliasing of each function, i.e. eachMust be with certainSpectral aliasing, Frequency domain can not separate with wave filter.When $g^{\left(i_1\right)\left(x\right)}\left(t\right)=g^{\left(i_2\right)\left(x\right)}\left(t\right)=...=g^{\left(i_k\right)\left(x\right)}\left(t\right)$ Time, $h^{\left(i_1\right)\left(x\right)}\left(t\right),h^{\left(i_2\right)\left(x\right)}\left(t\right),...,g^{\left(i_k\right)\left(x\right)}\left(t\right)$ It is the most unequal and at time domain orthogonal, ${\mathrm{\Σ}}_n{c}_n^{\left(i_u\right)\left(x\right)}{h}^{\left(i_u\right)\left(x\right)}(t-{{\mathrm{nT}}_c}^{\left(x\right)})$ With ${\mathrm{\Σ}}_{l=1}^{L\left(x\right)}{d}^{\left(l\right)\left(x\right)}\left(t\right)c^{\left(l\right)\left(x\right)}\left(t\right)$ In spread spectrum code sequence Then can identical can also differ, respectivelyThe spectrum aliasing of function, each of which Must be with certainSpectral aliasing, can not separate with wave filter in frequency domain.

This technological invention is further characterized in that, h^(l)(x)(t), l=1,2 ..., in L (x), unequal all h^(l)(x)(t) In time domain pairwise orthogonal, the spectrum aliasing of each function, each of whichMust be with certainSpectral aliasing, frequency Rate territory can not separate with wave filter.

WithRepresent according to sequenceThe frequency values of change, withRepresent according to sequenceThe phase place of change Value,Represent the function of change.The s of signal form two_xT () can be expressed as, s_xIn (t)Deng In ${\mathrm{\Σ}}_{l=1}^{L\left(x\right)}\left\{d_i^{\left(l\right)\left(x\right)}{g}^{\left(l\right)\left(x\right)}(t-i{T}_d^{\left(l\right)\left(x\right)})\right\{{\mathrm{\Σ}}_n[\cos 2\mathrm{\πf}\left(c_n^{\left(l\right)\left(x\right)}\right)t+\mathrm{\φ}\left(c_n^{\left(l\right)\left(x\right)}\right)]h^{\left(c_n^{\left(l\right)\left(x\right)}\right)}\left(t\right)\left\}\right\}.$

This technological invention is further characterized in that, at the s of signal form two_xIn (t), in certain harmonic wave sub-carriers alpha_k ^(x)cos(2 πf_k ^(x)t+θ_k ^(x)On), when $h^{\left(c_n^{i_1}\right)\left(x\right)}\left(t\right)=h^{\left(c_n^{i_2}\right)\left(x\right)}\left(t\right)=...=h^{\left(c_n^{i_k}\right)\left(x\right)}\left(t\right)$ Time, $g^{\left(i_1\right)\left(x\right)}\left(t\right),g^{\left(i_2\right)\left(x\right)}\left(t\right),...,g^{\left(i_k\right)\left(x\right)}\left(t\right)$ Two neither Equal and in time domain orthogonal, the spectrum aliasing of each function, each of whichMust be with certainSpectral aliasing, frequency Rate territory can not separate with wave filter.When $g^{\left(i_1\right)\left(x\right)}\left(t\right)=g^{\left(i_2\right)\left(x\right)}\left(t\right)=...=g^{\left(i_k\right)\left(x\right)}\left(t\right)$ Time, $h^{\left(c_n^{i_1}\right)\left(x\right)}\left(t\right),h^{\left(c_n^{i_2}\right)\left(x\right)}\left(t\right),...,h^{\left(c_n^{i_k}\right)\left(x\right)}\left(t\right)$ The most unequal and in time domain orthogonal, sequenceThen can identical can also differ, respectively The spectrum aliasing of function, each of whichMust be with certainSpectral aliasing, can not divide with wave filter in frequency domain From.

The method have technical effect that, its multi code Rate of Chinese character multicarrier and prior art have fundamental difference, with CDMA technology Combine aspect, or in the bigger application of other form code check difference, expanding dimensionality of signal space, improving availability of frequency spectrum side Face shows bigger superiority.When being combined with CDMA technology, support long spread spectrum code, high spreading gain and compared with the average merit of small leak Rate is than application.

The invention will be further described below in conjunction with the accompanying drawings.

Accompanying drawing explanation

Fig. 1 is data transmission method for uplink of the present invention, equipment and flow chart；

Fig. 2 is data receiver method of the present invention, equipment and flow chart；

Fig. 3 is the downward Fourier space function example that orthogonal function number is exactly equal to 2WT, and wherein transverse axis coordinate unit is 1/T；

Fig. 4 is that orthogonal function number is equal toDownward Fourier space function example, wherein transverse axis coordinate unit is 1/T；

Fig. 5 is fractional bit rate orthogonal function example, and wherein transverse axis coordinate unit is T；

Fig. 6 is two code check subcarrier configuration examples of two-layer, and transverse axis coordinate unit is T.

Detailed description of the invention

Downward Fourier space that this technological invention to utilize and fractional bit rate orthogonal function, be by this technological invention people The specific type orthogonal function that method according to structure orthogonal function is created, constructed.Now it is described below.

Use following mark.Represent set of complex numbers,It is set of real numbers,It it is nature manifold.Real number interval [-T/2, T/2] The normed linear space that upper all absolute square integrable function f (t) are constituted is designated asOr L²[-T/2, T/2] f (t) be real-valued or Complex function is not difficult based on context to distinguish,The inner product of upper definition and norm are

$\&ForAll;f,g\&Element;L_T^2;$ Inner product ${<f,g>}_T=\underset{-T/2}{\overset{T/2}{\&Integral;}}f\left(t\right)\stackrel{\&OverBar;}{g\left(t\right)}\mathrm{dt};$ Norm ${\left|\right|f\left|\right|}_T=\sqrt{{<f,f>}_T}$

Wherein,Represent the complex conjugate of g (t).When integrating range clearly will not be misread, use mark<f, g>and | | f||.Claim f, g orthogonal, and if only if<f, g>=0, it is denoted as f ⊥ g.

According to the conclusion of complex analysis, nonidentical in the analytical function of zero Can only there is isolated point zero point.Therefore, ifThen interval [-T/2, T/2] superior function collection CloseIt is linear independence collection of functions,Available lattice draw Nurse Schmidt process is by its orthogonalization.

Defined function $\mathrm{rect}\left(t\right)=(1/\sqrt{T})[u(t+T/2)-u(t-T/2)],$ Wherein, u (t) is unit-step function, definition For.Following alleged interval [a, b] superior function f (t), refers both toOn, f (t)=0.

On interval [-T/2, T/2], cosine collectionIn function be even function, sinusoidal Trigonometric function collectionBeing odd function collection, therefore the two is orthogonal, 1 refers to u (t+T/2)-u (t-T/2), u here T () is unit-step function.Have on i.e. interval [-T/2, T/2]

Therefore can any collection of functions upper to interval [-T/2, T/2]Respectively with regard to cosine and sinusoidal letter Number orthogonalization,Now, order ${\mathrm{\&psi;}}_0^c\left(t\right)=\mathrm{rect}\left(t\right),$ ${\mathrm{\&psi;}}_1^s\left(t\right)=\sin 2\mathrm{\&pi;}{\tilde{f}}_{1}t/\left|\right|\sin 2\mathrm{\&pi;}{\tilde{f}}_{1}t\left|\right|,$ Order

${\mathrm{\&psi;}}_n^c\left(t\right)=\frac{\cos 2\mathrm{\&pi;}{f}_{n}t-\underset{l=0}{\overset{n-1}{\mathrm{\&Sigma;}}}{<\cos 2\mathrm{\&pi;}{f}_{n}t,{\mathrm{\&psi;}}_l^c\left(t\right)>}_T{\mathrm{\&psi;}}_l^c\left(t\right)}{{\left|\right|\cos 2\mathrm{\&pi;}{f}_{n}t-\underset{l=0}{\overset{n-1}{\mathrm{\&Sigma;}}}{<\cos 2\mathrm{\&pi;}{f}_{n}t,{\mathrm{\&psi;}}_l^c\left(t\right)>}_T{\mathrm{\&psi;}}_l^c\left(t\right)\left|\right|}_T}$

${\mathrm{\&psi;}}_k^s\left(t\right)=\frac{\sin 2\mathrm{\&pi;}{\tilde{f}}_{k}t-\underset{l=1}{\overset{k-1}{\mathrm{\&Sigma;}}}{<\sin 2\mathrm{\&pi;}{\tilde{f}}_{k}t,{\mathrm{\&psi;}}_l^s\left(t\right)>}_T{\mathrm{\&psi;}}_l^s\left(t\right)}{{\left|\right|\sin 2\mathrm{\&pi;}{\tilde{f}}_{k}t-\underset{l=1}{\overset{k-1}{\mathrm{\&Sigma;}}}{<\sin 2\mathrm{\&pi;}{\tilde{f}}_{k}t,{\mathrm{\&psi;}}_l^s\left(t\right)>}_T{\mathrm{\&psi;}}_l^s\left(t\right)\left|\right|}_T}$

Obtain [-T/2, T/2] upper orthonormal function collection

Work as f₁< 1/T or< during 1/T,The main lobe ratio of spectrumOrCloser to initial point, frequency spectrum Move down to low frequency end.Through orthogonalization,Typically it is represented by $\{\mathrm{rect}\left(t\right),\cos 2\mathrm{\&pi;}{f}_{m}t,\sin 2\mathrm{\&pi;}{\tilde{f}}_{l}t;m\&le;n,l\&le;k\}$ Linear combination, if f_i< i/T, i=1,2 ..., n or f_l< l/T, l=1,2 ..., k has more than one to meet f_i< i/T or ThusOrThe main lobe ratio of spectrumOrCloser to initial point, we i.e. claimOrFor downward Fourier space or downward Fourier space orthogonal function.Comprise the normal orthogonal system of downward Fourier space orthogonal functionIt is referred to as downward Fourier space normal orthogonal system.

Provide now the constructive definition of " fractional bit rate orthogonal function ".IfIt is [-T/ 2, T/2] upper normal orthogonal system, then Being interval [-IT, JT] upper normal orthogonal system, I, J are positive integers.Take on [-IT, JT] and F₂Middle arbitrary function combination linear is unrelated Function g_k(t),To F₂Middle function orthogonalization one by one.Can obtain As follows

${\mathrm{\&psi;}}_k^{(1/(I+J))}\left(t\right)=\frac{j_k\left(t\right)}{\left|\right|j_k\left(t\right)\left|\right|}$

Wherein

$j_1\left(t\right)=g_1\left(t\right)-\underset{i,n}{\mathrm{\&Sigma;}}<g_1\left(t\right),\mathrm{rect}(t+\frac{T}{2}+\mathrm{iT}){\mathrm{\&psi;}}_n(t+\frac{T}{2}+\mathrm{iT})>\left\{\mathrm{rect}(t+\frac{T}{2}+\mathrm{iT}){\mathrm{\&psi;}}_n(t+\frac{T}{2}+\mathrm{iT})\right\}$

$j_k\left(t\right)=g_k\left(t\right)-\underset{l=1}{\overset{k-1}{\mathrm{\&Sigma;}}}<g_k\left(t\right),{\mathrm{\&psi;}}_l^{(1/I+J)}\left(t\right)>{\mathrm{\&psi;}}_l^{(1/(I+J))}\left(t\right)$

$-\underset{i,n}{\mathrm{\&Sigma;}}<g_k\left(t\right),\mathrm{rect}(t+\frac{T}{2}+\mathrm{iT}){\mathrm{\&psi;}}_n(t+\frac{T}{2}+\mathrm{iT})>\left\{\mathrm{rect}(t+\frac{T}{2}+\mathrm{iT}){\mathrm{\&psi;}}_n(t+\frac{T}{2}+\mathrm{iT})\right\}$

If with T for symbol duration basic time unit, we say F₂Middle function is whole code check orthogonal function, claimsIt is 1/ (I+J) code check orthogonal function,1/ (I+J) is mark, is therefore also referred to asIt is Fractional bit rate orthogonal function.Especially, g is taken_k(t)=[u(t+IT)-u(t-JT)]cos(2πf_kt+θ_k), take f_kIt is F₂In each function Spectrum place band limits in certain Frequency point, can makeSpectrum and F₂In the spectrum overlapping degree of each function maximum Change, reach the availability of frequency spectrum and maximize.After the same method, by F₂Middle function andIt is displaced to interval [-IT+ (I+J) T, JT+ (I+J) T], [-IT+2 (I+J) T, JT+2 (I+J) T], until [-IT+ (U-1) (I+J) T, JT+ (U-1) (I+J) T], interval [-IT, JT+ (U-1) (I+J) T] repeat above-mentioned orthogonalization procedure, and the like, certain finite interval can be obtained On [-AT, BT], the orthogonal function system of different code checks, A here, B are positive integers.

The definition of above fractional bit rate orthogonal function, mark is meant that relative, i.e. from [-T/2, T/2] superior function collection F₁={ ψ_n(t) } start, by the function that the gram schmidt orthogonalization process structure persistent period is [-IT, JT]Because the persistent period [-IT, JT] is I+J times of [-T/2, T/2], when thus be accordingly used in transmission data, Code check be 1/ (I+J).Said process, can the most directly be extended to, make [a₀,a₁],[a₁,a₂],[a₂,a₃],…,[a_I-1, a_I] it is a string time interval,It is [a_i-1,a_i] superior function collection or orthogonal function system, take [a₀,a_I] superior function g_kT () is rightOrthogonalization.This process is reversible, fractional bit rate orthogonal function Structure there is the dual mode that principle is consistent.That is, to [-T/2, T/2] superior function collection F₁={ψ_n(t) }, by [-T/2, T/2] point Become I subinterval [a₀,a₁],[a₁,a₂],[a₂,a₃],…,[a_I-1,a_I], wherein a₀=-T/2, a_I=T/2.Take interval [a_i-1,a_i] Superior functionI=1,2 ..., I,At interval [a_i-1,a_iTo all [u (t-a on]_i-1)-u(t- a_i)]ψ_nT () (u (t) is unit-step function here) is by same gram Schmidt's method orthogonalization, ψ_n(t)∈F₁.? Obtain corresponding Orthogonal Function Set I=1,2 ..., I,Lasting interval be [a_i-1,a_i], Therefore, relativelyFor at this moment F₁={ψ_n(t) } in function be fractional bit rate function, fractional value is (a_i-a_i-1)/T.Therefore, Fractional bit rate orthogonal function in the Summary of this technical instruction and claims refers both to as stated above, above-mentioned Directly promotion method and the reverse method constructing dual form, the time determined is overlapped but the orthogonal letter of duration not grade Number.

Accompanying drawing 3 and accompanying drawing 4 provide two function examples, the bandwidth calculation as occupied by the main lobe of the spectrum of function, in bandwidth W and During time interval under the restrictive condition of a length of T, the number of orthogonal function is respectively 2WT and (1+ α) 2WT, α=1/60 in example.Press The number of orthogonal function calculates the availability of frequency spectrum divided by 2WT, and the spectrum of function utilization rate in example is respectively 1 and 1+ α=1+1/60. The all WT values meeting WT=n 32 are set up by the conclusion of accompanying drawing 3, and all WT values meeting WT=n 30 are become by the conclusion of accompanying drawing 4 Vertical, n is integer.When this just constitutes class WT → ∞, the number of orthogonal function is the function class of (1+ α) 2WT, carry outer energy with The ratio of gross energy keeps fixing and does not reduces with the increase of WT.

Accompanying drawing 5 provides a different fractional value fractional bit rate orthogonal function set example, in example from [-T/2, T/2] upper three Orthogonal function setStart, construct 1/2 code check successively, 1/4 code check and 1/8 code check orthogonal function.This example presses s (t)=s_I(t)cos2πf_ct+s_Q(t)sin2πf_cIn t, s_I(t) and s_Q(t) subcarrier number Being respectively 6 calculating, the availability of frequency spectrum reaches 96.8%, and reaching the existing OFDM technology of same frequency spectrum utilization rate needs 2N=62 son to carry Ripple.

When code check difference is bigger, the combination of different code check orthogonal functions may be constructed the subcarrier of nearly orthogonal, subchannel. The mathematical principle of its basis is, if { c_k(t), k=1,2 ..., K} is the upper orthogonal or nearly orthogonal of interval t ∈ [-T/2, T/2] Function, i.e. $k=l\&DoubleRightArrow;{\&Integral;}_{-T/2}^{T/2}{c}_k\left(t\right)c_l\left(t\right)\mathrm{dt}=1,$ $k\&NotEqual;l\&DoubleRightArrow;{\&Integral;}_{-T/2}^{T/2}{c}_k\left(t\right)c_l\left(t\right)\mathrm{dt}\&ap;0;$ {ψ_n(t), n=1,2 ..., N} is The upper orthogonal or function of nearly orthogonal of interval t ∈ [-MT/2, MT/2], i.e. $n\&NotEqual;m\&DoubleRightArrow;{\&Integral;}_{-T/2}^{T/2}{\mathrm{\&psi;}}_n\left(t\right){\mathrm{\&psi;}}_m\left(t\right)\mathrm{dt}\&ap;0;$ {f_u(t), u=1,2 ..., U} is the orthogonal letter on interval t ∈ [-LMT/2, LMT/2] Number, U, N, M are bigger integer.I.e. { f_u(t) } far beyond { ψ_n(t) } change slowly, { ψ_n(t) } far beyond { c_k(t) } change is slowly.Then have, K ≠ l, n ≠ m, and when u ≠ v has one to set up, ${\&Integral;}_{-\mathrm{LMT}/2}^{\mathrm{LMT}/2}{f}_u\left(t\right)f_v\left(t\right){\mathrm{\&psi;}}_n\left(t\right){\mathrm{\&psi;}}_m\left(t\right)c_k\left(t\right)c_l\left(t\right)\mathrm{dt}\&ap;0,$ Only work as k=l, n= M, and when u=v sets up simultaneously, ${\&Integral;}_{-\mathrm{LMT}/2}^{\mathrm{LMT}/2}{f}_u\left(t\right)f_v\left(t\right){\mathrm{\&psi;}}_n\left(t\right){\mathrm{\&psi;}}_m\left(t\right)c_k\left(t\right)c_l\left(t\right)\mathrm{dt}=1.$ Therefore, shape such as g_s(t)=f_u(t)ψ_n (t)c_kThe function g of (t)_sT () has U × N × K, and pairwise orthogonal.In other words, code check difference is relatively big and bandwidth difference is bigger Time, it being in various level orthogonal function combined, the number of the function of the nearly orthogonal of generation can reach what the property taken advantage of again increased Effect.In actual applications, { ψ_n(t) } in the bandwidth that occupies of the spectrum sum of function relative to { f_u(t) } in the spectrum of each function During the little an order of magnitude of bandwidth occupied, residual error is about 110, therefore limits the optional { ψ meeting and requiring according to error_n (t) } and { f_u(t) } relative bandwidth.Limiting according to error and selecting relative bandwidth is known principle, and has known method.

The term that this technical instruction and this technological invention relate to, " subcarrier " and " subchannel ", it is not related to many stratons and carries When ripple combination constitutes subchannel, its implication is consistent with known definition and implication.Multilamellar subcarrier is mentioned at this technological invention book When combination constitutes subchannel, there is following peculiar implication.

Multilamellar subcarrier combination constitutes the implication of subchannel₁(t)+f₂(t) +…f_U(t)}{ψ₁(t)+ψ₂(t)+…+ψ_N(t)}{c₁(t)+c₂(t)+…+c_K(t) }, and f₁(t),f₂(t),…,f_UT () is each In function, the frequency spectrum of any one must be overlapping with another, it is impossible to wave filter at Dividing in frequency domain；ψ₁(t),ψ₂(t),…,ψ_N(t) In each function, the frequency spectrum of any one must be overlapping with another, it is impossible to wave filter at Dividing in frequency domain；c₁(t),c₂(t),…,c_K T in () each function, the frequency spectrum of any one must be overlapping with another, it is impossible to wave filter at Dividing in frequency domain；Then s (t) be one by The signal that three groups of function products are constituted, for consistent with known definition and term, the technical instruction of this technological invention and right Claim claims s (t) to be a signal being made up of three groups of subcarrier products.If c₁(t),c₂(t),…,c_KEach letter in (t) Number or bandwidth ratio ψ of title subcarrier₁(t),ψ₂(t),…,ψ_N(t) each subcarrier bandwidth and big more than 10 times, ψ₁(t),ψ₂ (t),…,ψ_NEach function or bandwidth ratio f of title subcarrier in (t)₁(t),f₂(t),…,f_UThe sum of (t) each subcarrier bandwidth Big more than 10 times, then claiming s (t) is a signal being made up of three straton carrier product.S (t) product formula is launched, s (t)=∑ g_s(t)=∑f_u(t)ψ_n(t)c_k(t), 1≤u≤U, 1≤n≤N, 1≤k≤K.Each shape such as f_u(t)ψ_n(t)c_kT the factor of () is The subcarrier of composite signal s (t), single f_u(t) or ψ_n(t) or c_kT () is not the subcarrier of s (t).Composite signal s (t) is altogether There is U × N × K shape such as f_u(t)ψ_n(t)c_kT the subcarrier of (), also referred to as subchannel, can be by data $d_{u,n,k}\left(t\right)={\mathrm{\&Sigma;}}_i{d}_i^{(u,n,k)}{g}^{(u,n,k)}(t-n{T}_i^{(u,n,k)})$ It is modulated at f_u(t)ψ_n(t)c_kOn (t), form d_u,n,k(t)f_u(t)ψ_n(t)c_k T () sends and receives.Accompanying drawing 6 is a layering subcarrier-modulated, sends the example of data, and every straton carrier wave is a whole code check Orthogonal function adds a 1/2 code check orthogonal function.

Multilamellar subcarrier combination constitutes the relative bandwidth relation of subchannel, between each layer of s (t), and s_c(t)=c₁(t)+c₂ (t)+…+c_KBandwidth ratio s of each subcarrier in (t)_ψ(t)=ψ₁(t)+ψ₂(t)+…+ψ_NWide more than 10 times of the band of (t), s_ψ Bandwidth ratio s of each subcarrier in (t)_f(t)=f₁(t)+f₂(t)+…f_UWide more than 10 times of the band of (t).According to the limits of error Surely selecting relative bandwidth is known principle, and has known method.

The feature of this technological invention is, first, and composite signal is s (t)={ f₁(t)+f₂(t)}{c₁(t)+c₂(t) } form, I.e. s (t)=f₁(t)c₁(t)+f₂(t)c₁(t)+f₁(t)c₂(t)+f₂(t)c₂(t) form, three layer signals are then aforementioned forms, with And to analogize be more than three layers.Each straton carrier spectrum is overlapping, it is impossible to separate with wave filter.Between each layer, relative bandwidth relation meets The feature that aforementioned difference is more than 10 times.Second, there are the signal form of technology, s (t)=f shortly₁(t)c₁(t)+f₂(t)c₂(t) Form, or s (t)={ f₁(t)+f₂(t) } c (t) form, or s (t)=f (t) { c₁(t)+c₂(t) } in form, this technological invention is at s T () uses downward fourier series or fractional bit rate orthogonal function, i.e. f (t), f₁(t)、f₂(t) and c (t), c₁(t)、c₂ (t) at least one be downward fourier series or fractional bit rate orthogonal function.

Harmonic wave subcarrier-modulated is a kind of spread spectrum code form that this technological invention people publishes, tool when being applied to spread code There is the advantage that auto-correlation function main lobe is narrower.It is published in " the direct sequence expansion of " electronics and information journal " the 10th phase in 2012 Frequently harmonic wave carrier shift modulation ", the method be given in literary composition and signal example are for Direct Sequence Spread Spectrum Signal, for spread spectrum code stream Design, structure and performance, the method that this technological invention refers to utilize harmonic wave subcarrier-modulated to send data.The explanation of this technology In book and claims, harmonic wave subcarrier, support the term such as bandwidth and actual occupied bandwidth and published an article with above-mentioned Term is consistent.

Duality based on time-domain and frequency-domain known to field of engineering technology, the orthogonal function structure that this technological invention uses Method is also applied for constructing orthogonal function from frequency domain.The process of orthogonal function constructed above, is to be equal to signal duration Basic time unit T, the persistent period [-T/2, T/2], constructs downward Fourier space on this basis, and at [-I₁T/2, L₁T/2] construct fractional bit rate orthogonal function on interval, then repeat this process at [-NI₁T/2,ML₁T/2] construct on interval Different fractional bit rate orthogonal functions.Make variable replacement, orderThe most repeatable said process, from Frequency separation [-W, W] starts, and constructs downward Fourier space, then structure [-I₁W,L₁W] the orthogonal letter of frequency separation fractional bit rate Number, and [-NI₁W,ML₁W] frequency separation difference fractional bit rate orthogonal function.

Based on frequency domain and time domain duality relation, described harmonic wave subcarrier-modulated sends the method for data, its harmonic wave used Sub-carrier signal form includes directly constructing harmonic wave sub-carrier signal from frequency domain.Its signal structure and signal form are as follows.Structure Spectrum limitations is at the signal of frequency separation f ∈ [-(k+1) W ,-kW] ∪ [kW, (k+1) W]NoteSpectrum beL=1,2 ..., L (x), k=0,1,2 ..., K (x).Only f ∈ [-(k+1) W ,-kW ］ ∪ [kW, (k+1) W] district Zero may be not equal to, the most necessarily equal to zero, i.e. between $f\&NotElement;[-(k+1)W,-\mathrm{kW}]\&cup;[\mathrm{kW},(k+1)W]\&DoubleRightArrow;{\mathrm{\&Phi;}}_l^{\left(k\right)}\left(f\right)=0$ .Due to Strictly bandlimited signal certainty infinite duration, directly from the band-limited signal of frequency domain structureRefer to according to communication technology Principle known to field is the most rightBlock and windowed function makesEnergy accumulating in a time LengthIn, this technological invention is characterised by, allThe integral multiple duration of common multiple T interval, all harmonic waves Carrier wave $\left\{{\mathrm{\&Sigma;}}_{k=1}^{K\left(x\right)}{{\mathrm{\&alpha;}}_k}^{\left(x\right)}\cos (2\mathrm{\&pi;}{f_k}^{\left(x\right)}t+{{\mathrm{\&theta;}}_k}^{\left(x\right)})\right\}$ With each functionHolding position Timing Synchronization, harmonic wave subcarrier The integral multiple time point at T that changes keeping frequency and phase invariant, harmonic wave sub-carrier frequencies and phase place occurs.

Duality relation based on principle known to field of engineering technology, frequency and time, two variablees of Fourier transform pairs And two domain variablies that Fourier space relates to can exchange formation duality relation.The orthogonal function that this technological invention is used Building method and orthogonal function, variable t and f therein, variable ultimate unit and siding-to-siding block length unit, interval start-stop numerical value T and W, and non-limiting and fixing, should as known to field of engineering technology principle, be interpreted as Fourier transformation and Fourier space Antithesis amount.Spectral aliasing, frequency domain can not with the statement of wave filter separation, the statement of its dual form it will be appreciated that lasting time Between overlapping, can not separate in time.

The signal example of this technological invention and embodiment, embodiment, transmission with in method of reseptance and step, based on engineering skill The duality relation of principle known to art field, frequency and time, two variablees of Fourier transform pairs and Fourier space relate to Two scopes of a variable can exchange formation duality relation.Frequency in narration is converted to the time, corresponding signal form and Corresponding subcarrier constituted mode, and utilize correspondence, the method for the signal of dual form, subcarrier transmission data, also it is Technical method disclosed in this invention.

The signal possessing the above-mentioned feature of this technological invention can constitute composite signal by combination.Combined method includes, Based on same markers, time shaft, if N number of signal is such as s_n(t)=s_I,n(t)cos2πf_c,nt+s_Q,n(t)sin2πf_c,nThe shape of t Formula, n=1,2 ..., N, wherein s₁(t),s₂(t),…,s_NIn (t) at least one possess this technological invention features described above Signal.Select f_c,1,f_c,2,…,f_c,n, make each s_nT the spectrum of () is in different frequency ranges and does not interfere with each other, combination is constitutedCombined method also includes, makes above-mentioned s₁(t),s₂(t),…,s_NT () phase relation namely time are relative Delay relation changes, and is combined into

The data transmission method for uplink of this technological invention and method of reseptance are by following implementation Process.Involved equipment includes, takes advantage of Musical instruments used in a Buddhist or Taoist mass, adder, matched filtering device, these equipment and implementation method are known to communication technical field, correlation demodulation, relevant fortune Calculation method is known to communication technical field.

Select the function of ofdm signal form and downward Fourier space and fractional bit rate orthogonal function, construct aforementioned letter Subcarrier function g in number expression^(l)(x)(t) and h^(l)(x)(t)、.According to method known to communication technical field and and Technology carries out the method for shaping and modification, shaping and modification and includes windowed function, adds frequency protection isolation frequency band and front and back function The known method such as sew so that function is as the technology requirement that in channel, can meet signal transmission during signal.Selected , for the function as subcarrier transmission data, i.e. $s_x\left(t\right)=\left\{{\mathrm{\&Sigma;}}_{l=1}^{L\left(x\right)}{d}^{\left(l\right)\left(x\right)}\left(t\right)c^{\left(l\right)\left(x\right)}\left(t\right)\right\}\left\{{\mathrm{\&Sigma;}}_{k=1}^{K\left(x\right)}{{\mathrm{\&alpha;}}_k}^{\left(x\right)}\cos (2\mathrm{\&pi;}{f_k}^{\left(x\right)}t+{{\mathrm{\&theta;}}_k}^{\left(x\right)})\right\}$ In all function g^(l)(x)(t) and h^(l)(x)(t), andPossesses the feature of this aforementioned technological invention.This technology The description of method that description of the invention constitutes about signal and transmits and receive, is for shaping and the subcarrier before modifying With function statement, signal shaping and before and after modifying corresponding relation in the specific implementation and processing method be communication technical field Known.

First information MAP to be sent is become data sequence { d_n ^(I)And { d_n ^(Q), by { d_n ^(x)It is divided into L (x) individual data sequence Row { d_n ^(l)(x), l=1,2 ..., L (x), the symbol duration of each data sequence isWillAdded by multiplier Carry and formed on sub-carriersAgain by multiplier and c^(l)(x)T () is multiplied and constitutes d^(l)(x)(t)c^(l)(x) T (), by all d^(l)(x)(t)c^(l)(x)T () is synthesized by adderIt is multiplied by harmonic wave by multiplier Subcarrier $\left\{{\mathrm{\&Sigma;}}_{l=1}^{L\left(x\right)}{d}^{\left(l\right)\left(x\right)}\left(t\right)c^{\left(l\right)\left(x\right)}\left(t\right)\right\}\left\{{\mathrm{\&Sigma;}}_{k=1}^{K\left(x\right)}{{\mathrm{\&alpha;}}_k}^{\left(x\right)}\cos (2\mathrm{\&pi;}{f_k}^{\left(x\right)}t+{{\mathrm{\&theta;}}_k}^{\left(x\right)})\right\}$ As s_x(t), s_IT () is multiplied by carrier wave by multiplier cos2πf_cT is constituted $s_I\left(t\right)\cos 2\mathrm{\&pi;}{f}_{c}t=\left\{{\mathrm{\&Sigma;}}_{l=1}^{L\left(I\right)}{d}^{\left(l\right)\left(I\right)}\left(t\right)c^{\left(l\right)\left(I\right)}\left(t\right)\right\}\left\{{\mathrm{\&Sigma;}}_{k=1}^{K\left(I\right)}{\mathrm{\&alpha;}}_k\cos (2\mathrm{\&pi;}{f_k}^{\left(I\right)}t+{{\mathrm{\&theta;}}_k}^{\left(I\right)})\right\}\cos 2\mathrm{\&pi;}{f}_{c}t.$ With same side Method, by data sequence { d_n ^(Q)Generate signal $s_Q\left(t\right)\sin 2\mathrm{\&pi;}{f}_{c}t=\left\{{\mathrm{\&Sigma;}}_{l=1}^{L\left(Q\right)}{d}^{\left(l\right)\left(Q\right)}\left(t\right)\right\}\left\{{\mathrm{\&Sigma;}}_{k=1}^{K\left(Q\right)}{{\mathrm{\&alpha;}}_k}^{\left(Q\right)}\cos (2\mathrm{\&pi;}{f_k}^{\left(Q\right)}t+{{\mathrm{\&theta;}}_k}^{\left(Q\right)})\right\}\sin 2\mathrm{\&pi;}{f}_{c}t,$ Last s_I(t) and s_QT () constitutes transmission signal s (t)=s by adder_I(t)cos2πf_ct+s_Q(t)sin2πf_cT, passes through channel Send to receiving terminal.Data transmission method for uplink, equipment and flow chart are shown in accompanying drawing 1.

During reception, what receiving terminal received is actuated to r (t)=s (t)+j (t)+n (t), and wherein s (t) is signal, and n (t) is the back of the body Scape noise, j (t) is other various interference signals.The receiving terminal mode demodulating data gradually peeling off demodulation.

First r (t) is multiplied by carrier wave cos2 π f by multiplier_cT and cos2 π f_cT, separates output s_I(t) and s_Q(t).Due to The feature of this technological invention is, the difference of any two harmonic wave sub-carrier frequenciesMore than twice Bandwidth, i.e. $\left\{{\mathrm{\&Sigma;}}_{l=1}^{L\left(x\right)}{d}^{\left(l\right)\left(x\right)}\left(t\right)c^{\left(l\right)\left(x\right)}\left(t\right)\right\}{{\mathrm{\&alpha;}}_j}^{\left(x\right)}\cos (2\mathrm{\&pi;}{f_j}^{\left(x\right)}t+{{\mathrm{\&theta;}}_j}^{\left(x\right)})$ With $\left\{{\mathrm{\&Sigma;}}_{k=1}^{K\left(I\right)}{\mathrm{\&alpha;}}_k\cos (2\mathrm{\&pi;}{f_k}^{\left(I\right)}t+{{\mathrm{\&theta;}}_k}^{\left(I\right)})\right\}$ Frequency spectrum separable at frequency domain, therefore s_I(t) and s_QT () is multiplied by by multiplier respectivelyWith $\{{\mathrm{\&Sigma;}}_{k=1}^K{{\mathrm{\&alpha;}}_k}^{\left(Q\right)}\cos (2\mathrm{\&pi;}{f_k}^{\left(Q\right)}t+{{\mathrm{\&theta;}}_k}^{\left(Q\right)}),$ By wave filter, export respectively ${\mathrm{\&Sigma;}}_{l=1}^{L\left(I\right)}{d}^{\left(l\right)\left(I\right)}\left(t\right)c^{\left(l\right)\left(I\right)}\left(t\right)$ With ${\mathrm{\&Sigma;}}_{l=1}^{L\left(Q\right)}{d}^{\left(l\right)\left(Q\right)}\left(t\right)c^{\left(l\right)\left(Q\right)}\left(t\right)$ Again withIt is multiplied by c by multiplier^(j)(I)(t), by correlator or matched filtering device related operation, defeated Go out d^(j)(I)T (), matched filtering device is known principle with the equivalence of related operation.WithBy taking advantage of Musical instruments used in a Buddhist or Taoist mass is multiplied by c^(j)(Q)(t) output d^(j)(Q)(t), j=1,2 ..., L (x).Again with d^(j)(I)T () is multiplied by by multiplierBy correlator or matched filtering device related operation, sequentially output { d_n ^(j)(I), with d^(j)(Q)T () is by taking advantage of Musical instruments used in a Buddhist or Taoist mass is multiplied bySequentially output { d_n ^(j)(Q)}.All sequences { d_n ^(j)(I) and { d_n ^(j)(Q), j=1,2 ..., L X (), synthesizes originally transmitted data sequence { d_n}.One known equivalent form of value of this process is, with It is multiplied by by multiplierBy correlator or matched filtering device related operation, sequentially output { d_n ^{(j )(x)}, j=1,2 ..., L (x).Data receiver method, equipment and flow chart are shown in accompanying drawing 2.

See Fig. 3, take [-T/2, T/2] upper trigonometric function collection The most orthogonal cosine collection of functionsConstant.To SIN functionBy gram schmidt orthogonalization process orthogonalization, can obtainMake N =16, λ₁=0.7, λ₂=1.6, λ₃=2.4, λ₄=3.2, λ₅=4, λ₆=4.8, λ₇=5.6, it is λ during 8≤n≤16_n=n-1. Can obtainIt is composed as it is shown on figure 3, abscissa unit is 1/T in figure, numeral 1,2 ..., 16 refer toSpectrum.

This function example has the orthogonal function on 32 time intervals [-T/2, T/2], the spectrum of these 32 orthogonal functions, master Lobe is interior at [-16W, 16W], W=1/T.Orthogonal function number is exactly equal to 2WT.

Seeing Fig. 4, method illustrates with Fig. 3, makes N=15, λ₁=0.7, λ₂=1.6, λ₃=2.4, λ₄=3.2, λ₅=4, λ₆=4.8, λ₇ =5.6, λ₈=6.4, λ₉=7.2, it is λ during 10≤n≤15_n=n-2.Can obtainIt is composed as shown in fig. 4 a, in figure Transverse axis unit is 1/T.Again with on [-T, T] $g\left(t\right)=\cos 2\mathrm{\&pi;}\frac{14.5}{T}t$ Right $\{\mathrm{rect}\left(t\right),\cos 2\mathrm{\&pi;}\frac{n-1}{T}t,\sin 2\mathrm{\&pi;}\frac{{\mathrm{\&lambda;}}_n}{T}t;1\&le;n\&le;15\}$ Orthogonalization.Obtain 1/2 code check orthogonal function ψ^(1/2)T (), Fig. 4 b is ψ^(1/2)The spectrum of (t).

On time interval [-T, T], this example has 61 orthogonal functions, and the main lobe of spectrum is interior at [-15W, 15W], W=1/T. Orthogonal function number is equal to (1+ α) 2WT, α=1/60 > 0.

See Fig. 5, from [-T/2, T/2] upper three orthogonal function set $\{\mathrm{rect}\left(t\right),\left(\sqrt{2/T}\right)\cos 2\mathrm{\&pi;}(1/T)t,\left(\sqrt{2/T}\right)\sin 2\mathrm{\&pi;}(0.5/T)t\}$ Start, whereinU (t) is unit-step function.It is firstly added 1/2 code check orthogonal function ${\mathrm{\&psi;}}_c^{(1/2)}\left(t\right)=\{u(t+T)-u(t-T)\}\&CenterDot;\left(\sqrt{1/T}\right)\cos 2\mathrm{\&pi;}(1.5/T)t,$ Obtain upper seven the orthogonal function rect (t+T/2) in interval [-T, T], $\mathrm{rect}(t-T/2),\left(\sqrt{2/T}\right)\cos 2\mathrm{\&pi;}(1/T)(t+T/2),$ $\left(\sqrt{2/T}\right)\cos 2\mathrm{\&pi;}(1/T)(t-T/2),$ $\left(\sqrt{2/T}\right)\sin 2\mathrm{\&pi;}(0.5/T)(t+T/2),$ WithAbove seven orthogonal functions are moved on [-2T, 0] and [0,2T], uses $\{u(t+2T)-u(t-2T)\}\&CenterDot;\left(\sqrt{1/T}\right)\cos 2\mathrm{\&pi;}(1.75/T)t$ To its orthogonalization, obtain 1/4 code check orthogonal function ${\mathrm{\&psi;}}_c^{(1/4)}\left(t\right)$ Move again Move on [-4T, 0] and [0,4T], use $\{u(t+4T)-u(t-4T)\}\&CenterDot;\left(\sqrt{1/T}\right)\cos 2\mathrm{\&pi;}(1.875/T)t,$ In [-4T, 4T] upper execution Orthogonalization, obtains 1/8 code check orthogonal functionFig. 5 is whole code check orthogonal function, 1/2 code check, 1/4 code check and 1/8 code check Orthogonal function modulating binary data respectively, during parallel transmission, data sequence waveform.Signal Mathematical representation is equivalent to $s_x\left(t\right)=\left\{{\mathrm{\&Sigma;}}_{l=1}^{L\left(x\right)}{d}^{\left(l\right)\left(x\right)}\left(t\right)c^{\left(l\right)\left(x\right)}\left(t\right)\right\}\left\{{\mathrm{\&Sigma;}}_{k=1}^{K\left(x\right)}{{\mathrm{\&alpha;}}_k}^{\left(x\right)}\cos (2\mathrm{\&pi;}{f_k}^{\left(x\right)}t+{{\mathrm{\&theta;}}_k}^{\left(x\right)})\right\}$ In, ${\mathrm{\&Sigma;}}_{k=1}^{K\left(x\right)}{{\mathrm{\&alpha;}}_k}^{\left(x\right)}\cos (2\mathrm{\&pi;}{f_k}^{\left(x\right)}t+{{\mathrm{\&theta;}}_k}^{\left(x\right)})\&equiv;1,$ c^(l)(x)(t)≡ 1, i.e. it is equivalent to $s_x\left(t\right)={\mathrm{\&Sigma;}}_{l=1}^{L\left(x\right)}{d}^{\left(l\right)\left(x\right)}\left(t\right)={\mathrm{\&Sigma;}}_{l=1}^{L\left(x\right)}{d}_n^{\left(l\right)\left(x\right)}{g}^{\left(l\right)\left(x\right)}(t-{\mathrm{nT}}_d^{\left(l\right)\left(x\right)}),$ Wherein, L (x)=6, g^(1)(x)(t)=rect(t-T/ 2), $g^{\left(2\right)\left(x\right)}\left(t\right)=\mathrm{rect}(t-T/2)\sqrt{2}\cos 2\mathrm{\&pi;}(1/T)(t-T/2),$ $g^{\left(3\right)\left(x\right)}\left(t\right)=\mathrm{rect}(t-T/2)\sqrt{2}\sin 2\mathrm{\&pi;}(0.5/T)(t-T/2),$ $g^{\left(4\right)\left(x\right)}\left(t\right)={\mathrm{\&psi;}}_c^{(1/2)}(t-T),g^{\left(5\right)\left(x\right)}\left(t\right)={\mathrm{\&psi;}}_c^{(1/4)}(t-2T),$ $g^{\left(6\right)\left(x\right)}\left(t\right)={\mathrm{\&psi;}}_c^{(1/8)}\left(t\right),$ $T_d^{\left(1\right)\left(x\right)}=T_d^{\left(2\right)\left(x\right)}=T_d^{\left(3\right)\left(x\right)}=T,$ $T_d^{\left(4\right)\left(x\right)}=2T$ $T_d^{\left(5\right)\left(x\right)}=4T,$ $T_d^{\left(6\right)\left(x\right)}=8T.$ Above-mentioned 6 orthogonal functions, main lobe occupies bandwidth [-2W, 2W], the availability of frequency spectrum Equal to 96.875%.Reach the existing OFDM technology of same frequency spectrum utilization rate and need 2N=62 subcarrier.

See Fig. 6, upper target rect of definition band^(T)(t), $t\&Element;[-T/2,T/2]\&DoubleRightArrow;{\mathrm{rect}}^{\left(T\right)}\left(t\right)=1/\sqrt{T},$ $t\&NotElement;[-T/2,T/2]\&DoubleRightArrow;{\mathrm{rect}}^{\left(T\right)}\left(t\right)=0.$ Definition $g^{\left(2T\right)}\left(t\right)=[u(t+T)-u(t-T)]\left(\sqrt{1/T}\right)\cos 2\mathrm{\&pi;}(1/2T)t.$ Modulation two is entered During data processed, its time domain waveform and phase relation are shown in accompanying drawing 6.

With the message capacity expanding the number of users conventional CDMA (namely the single carrier CDMA) system as L it is Purpose, the method using this technological invention.

In original system, the signal form of l user is s (t)=d (t) c_lT (), d (t) is data streams, c_l(t)=∑_nc_l,nh (t-nT_c) it is code stream, wherein c_l,nBeing allocated to the spread spectrum code of l user, frequency spreading wave h (t) is rectangular function.Adopt now Data stream and code stream is reconfigured by the method for this technological invention.First the spread spectrum code stream c of l user is reconfigured_l(t), Use two different code checks $c_l^{\left(T_c\right)}\left(t\right)=\underset{n}{\mathrm{\&Sigma;}}{c_{l,n}}^{\left(1\right)}{\mathrm{rect}}^{\left(T_c\right)}(t-n{T}_c-\frac{T_c}{2})$ With $c_l^{\left({2T}_c\right)}\left(t\right)=\underset{n}{\mathrm{\&Sigma;}}{c_{l,n}}^{\left(2\right)}{g}^{\left({2T}_c\right)}(t-2n{T}_c-T_c),$ {c_{L, n} ⁽¹⁾And { c_{L, n} ⁽²⁾Identical or different spread spectrum code can be used.

Constituting four customer traffics, symbol period is T_d'sAnd symbol period is 2T_d'sIt is respectively $d_1^{\left(T_d\right)}\left(t\right)=\underset{n}{\mathrm{\&Sigma;}}{x}_n\mathrm{rec}{t}^{\left(T_d\right)}(t-\frac{T_d}{2}-n{T}_d),$ $d_2^{\left(T_d\right)}\left(t\right)=\underset{n}{\mathrm{\&Sigma;}}{y}_n{\mathrm{rect}}^{\left(T_d\right)}(t-\frac{T_d}{2}-n{T}_d),$ $d_1^{\left({2T}_d\right)}\left(t\right)=\underset{n}{\mathrm{\&Sigma;}}{\tilde{x}}_n{g}^{\left({2T}_d\right)}(t-2n{T}_d-T_d),$ And $d_2^{\left({2T}_d\right)}\left(t\right)=\underset{n}{\mathrm{\&Sigma;}}{\tilde{y}}_n{g}^{\left({2T}_d\right)}(t-2n{T}_d-T_d),$ Wherein,It is any Data sequence.Send the s of data_I(t) and s_QT () is all $\{d_1^{\left(T_d\right)}\left(t\right)+d_1^{\left({2T}_d\right)}\left(t\right)\}{c}_l^{\left(T_c\right)}\left(t\right)+\{d_2^{\left(T_d\right)}\left(t\right)+d_2^{\left({2T}_d\right)}\left(t\right)\}{c}_l^{\left({2T}_c\right)}\left(t\right)$ Shape Formula.So, by I, Q orthogonal modulation, the expansion of user's subchannel reaches 3 times.

In above example, duality relation based on principle known to field of engineering technology, frequency and time, Fourier becomes Change two scopes of a variable that two variablees and Fourier space are related to and can exchange formation duality relation.Frequency in describing Be converted to time, corresponding signal form and corresponding subcarrier constituted mode, and utilize corresponding, the letter of dual form Number, subcarrier transmission data method, also should be regarded as the simple transformation of technical method disclosed in this invention and fall into this patent Protection domain within.

In above example, based on known to field of engineering technology by digitized for analog quantity principle, based on engineering Field is known by analog quantity method for digitizing, by the signal digitized of the analog representation form in narration, corresponding Signal form and corresponding subcarrier constituted mode, and utilize the digitized signal of correspondence, digitized subcarrier transmission number According to method, within also should be regarded as the simple transformation of technical method disclosed in this invention and falling into the protection domain of this patent.

In above example, the signal form that all signal combinations possessing above-mentioned feature are constituted, including, based on same Individual markers, time shaft, by N number of shape such as s_n(t)=s_I,n(t)cos2πf_c,nt+s_Q,n(t)sin2πf_c,nThe signal of t form, n=1, 2 ..., N, wherein s₁(t),s₂(t),…,s_NAn at least signal being to possess this technological invention features described above in (t)；Select f_c,1,f_c,2,…,f_c,n, make each s_nT the spectrum of () is in different frequency ranges and does not interfere with each other, combination is constitutedGroup Conjunction method also includes, makes above-mentioned s₁(t),s₂(t),…,s_NT () phase relation namely time relative delay relation change, combination BecomeThese combined methods, also should be regarded as the simple transformation of technical method disclosed in this invention and fall Within entering the protection domain of this patent.

In above example, have equivalent feature signal directly combine the signal constituted and data transmission method. Multilayer signal that the direct superposition of the signal with equivalent feature is constituted and data transmission method.Including as noted in the discussion The signal combination that will have at least a signal possessing this technological invention features described above and other forms, the side of transmission data Method.Also within should be regarded as the simple transformation of technical method disclosed in this invention and falling into the protection domain of this patent.

Claims (11)

1. a multi-carrier data transmission method, it is characterised in that include forwarding step and receiving step, described forwarding step Including first information MAP to be sent being become data sequence { d_n ^(I)And { d_n ^(Q), then by { d_n ^(x)It is divided into the individual data sequence of L (x)During wherein x takes I or Q one, l=1,2 ..., L (x), the symbol duration of each data sequence isWillIt is multiplied by by multiplierBecomeAgain with c^(l)(x)T () passes through Multiplier is multiplied and forms d^(l)(x)(t)c^(l)(x)T (), by all d^(l)(x)(t)c^(l)(x)T () is synthesized by adderIt is multiplied by harmonic wave subcarrier by multiplier?As s_x(t), wherein s_IT () is multiplied by load by multiplier Ripple cos2 π f_cT is constitutedWith Sample is by data sequence { d_n ^(Q)Generate signal s_QT () is multiplied by carrier wave sin2 π f by multiplier_cT is constitutedLast s_I(t) and s_Q T () constitutes transmission signal s (t)=s by adder_I(t)cos2πf_ct+s_Q(t)sin2πf_cT, is sent out to receiving terminal by channel Send；

Described receiving step includes excitation r (t)=s (t)+j (the t)+n (t) received by receiving terminal, by gradually peeling off solution The mode demodulating data adjusted, wherein s (t) is signal, and n (t) is background noise, and j (t) is other various interference signals；First will Excitation r (t) is multiplied by the internal exalted carrier cos2 π f of receiver by multiplier_cT and sin2 π f_cT, the most defeated by wave filter Go out s_I(t) and s_Q(t)；s_I(t) and s_QT () is multiplied by by multiplier respectivelyWithBy wave filter, export respectivelyWith Again withIt is multiplied by c by multiplier^(j)(I)(t), by correlator or matched filtering device related operation, defeated Go out d^(j)(I)(t), withIt is multiplied by c by multiplier^(j)(Q)(t) output d^(j)(Q)(t), j=1,2 ..., L (x), then with d^(j)(I)T () is multiplied by by multiplierBy correlator or matched filtering device related operation, depend on Sequence output { d_n ^(j)(I), with d^(j)(Q)T () is multiplied by by multiplierSequentially output { d_n ^(j)(Q), j=1, 2 ..., L (x), all sequences { d_n ^(j)(I)And { d_n ^(j)(Q)Synthesize originally transmitted data sequence { d_n}；

Described method utilizes at least two subcarrier, subchannel transmission data, in order to transmit the signal form of data for including Harmonic wave offset modulation subcarrier is at interior multi code Rate of Chinese character subcarrier combination signal form, any one height between multiple different subcarriers Carrier wave must be with another subcarrier spectrum aliasing, and when frequency domain can not separate with wave filter, these subcarriers are that one group of son carries Ripple, when the bandwidth of each in two groups of subcarrier one of which differs ten times compared with another whole subcarrier bandwidth sums of group Being two-layer subcarrier time above, two groups of subcarriers adhere to two different layers separately, and in many group subcarriers, any two components belong to difference Being multilamellar sub-carrier signal form during layer, the Mathematical representation of described subcarrier is a function, can be separately formed subchannel, Or being constituted subchannel with the two or more subcarrier form of being multiplied, the Mathematical representation of subchannel is that data are multiplied by a function or two The individual product with superior function, the Mathematical representation of baseband signal form s (t) of this method transmission data is following form

S (t)=s_I(t)cos2πf_ct+s_Q(t)sin2πf_cT,

Wherein f_cIt is carrier frequency, i.e. relative to total carrier wave of other subcarriers, s_xT the form of () includes signal form one and letter Number form two, the s of signal form one_xT () is following form

$\begin{array}{c}{s}_x\left(t\right)=\left\{{\mathrm{\&Sigma;}}_{l=1}^{L\left(x\right)}{d}^{\left(l\right)\left(x\right)}\left(t\right)c^{\left(l\right)\left(x\right)}\left(t\right)\right\}\left\{{\mathrm{\&Sigma;}}_{k=1}^{K\left(x\right)}{{\mathrm{\&alpha;}}_k}^{\left(x\right)}\cos (2{{\mathrm{\&pi;f}}_k}^{\left(x\right)}t+{{\mathrm{\&theta;}}_k}^{\left(x\right)})\right\},\\ {\mathrm{\&Sigma;}}_{l=1}^{L\left(x\right)}{d}^{\left(l\right)\left(x\right)}\left(t\right)c^{\left(l\right)\left(x\right)}\left(t\right)={\mathrm{\&Sigma;}}_{l=1}^{L\left(x\right)}\left\{d_i^{\left(l\right)\left(x\right)}{g}^{\left(l\right)\left(x\right)}(t-{\mathrm{iT}}_d^{\left(l\right)\left(x\right)})\right\{{\mathrm{\&Sigma;}}_n{c}_n^{\left(l\right)\left(x\right)}{h}^{\left(l\right)\left(x\right)}(t-{\mathrm{nT}}_c^{\left(l\right)\left(x\right)})\left\}\right\},\end{array}$

The s of signal form two_xT the Mathematical representation of () is, s_xIn (t)It is equal to

${\mathrm{\&Sigma;}}_{l=1}^{L\left(x\right)}\left\{d_i^{\left(l\right)\left(x\right)}{g}^{\left(l\right)\left(x\right)}(t-{\mathrm{iT}}_d^{\left(l\right)\left(x\right)})\right\{{\mathrm{\&Sigma;}}_n\&lsqb;cos2\mathrm{\&pi;}f\left(c_n^{\left(l\right)\left(x\right)}\right)t+\mathrm{\&phi;}\left(c_n^{\left(l\right)\left(x\right)}\right)\&rsqb;h^{\left(c_n^{\left(l\right)\left(x\right)}\right)}\left(t\right)\left\}\right\},$

Wherein represent s during x=I_IT (), represents s during x=Q_QT (), L (x) and K (x) are fixed integer, i.e. s_I(t) and s_QIn (t) L, K take arbitrary integer, h^(l)(x)T () is the persistent periodTime domain waveform,It is that its numerical value of sequence can be appointed and taken；It is l circuit-switched data,For data bit persistent period, g^(l)(x)When () is for continuing t BetweenTime domain waveform,It is to send data；Represent according to sequenceValue change frequency values,Represent according to sequenceThe phase value of change,Represent according to sequenceThe function of change,WithIt is harmonic wave subcarrier, f_k ^(x)Carry for harmonic wave Wave frequency, α_k ^(x)Appointing for coefficient and numerical value and take, harmonic wave sub-carrier phase is θ_k ^(x)And numerical value appoints and takes；

Same layer subcarrier is at time domain orthogonal, and certain subcarrier of same layer must be overlapping with another subcarrier spectrum, it is impossible to dividing Cut frequency spectrum and isolated by wave filter；Another straton carrier wave of the same layer subcarrier of spectrum overlapping and spectrum overlapping is with phase When taking advantage of form to combine, wherein big more than 10 times of the bandwidth sum of all subcarrier of the bandwidth ratio of one layer of each subcarrier another layer, The form composite signal that makes to be multiplied can divide into the orthogonal or subchannel of nearly orthogonal, composite signal subchannel by correlation demodulation Number equal to the product of each straton variable number.

A kind of multi-carrier data transmission method the most according to claim 1, it is characterised in that as data sequence { d_n ^(I)And {d_n ^(Q)When being equal to constant 1, it is all for there is a TWithCommon multiple,Setting up Integer N, wherein N is arbitrary integer,Repeat with T for the cycle；All harmonic wave subcarriersWith each letter NumberHolding position Timing Synchronization, time a length of T integral multiple time interval on keep frequency and phase place not Become.

A kind of multi-carrier data transmission method the most according to claim 1, it is characterised in that any two harmonic wave in signal Difference f of sub-carrier frequencies_i ^(x)-f_j ^(x)More than or equal to twiceBandwidth, i.e.WithFrequency Compose and separate at frequency domain.

A kind of multi-carrier data transmission method the most according to claim 1, it is characterised in that when in signal

In L (x)=1 Time, ifIn c_n ^(x)It is spread spectrum code, then s_xT the band that supports of () is wider than at least one d of border occupied bandwidth in fact^(x)(t)c^(x)(t) bandwidth sound interval.

A kind of multi-carrier data transmission method the most according to claim 1, it is characterised in that when in signalAnd Time, L (x) >=2 and g^(l)(x)In (t) at least one be downward Fourier space or fractional bit rate orthogonal function.

A kind of multi-carrier data transmission method the most according to claim 1, it is characterised in that when in signalSimultaneouslyTime, L (x) >=2 And g^(l)(x)In (t) at least one be downward Fourier space or fractional bit rate orthogonal function.

A kind of multi-carrier data transmission method the most according to claim 1, it is characterised in that when in signalSimultaneouslyTime, L (x) >=2 and h^(l)(x)In (t) at least one be downward Fourier space or fractional bit rate orthogonal function.

A kind of multi-carrier data transmission method the most according to claim 1, it is characterised in that when in signalSimultaneouslyTime, L (x) >=2 and h^(l)(x)(t) or g^(l)(x)In (t) at least one be downward Fourier space or fractional bit rate orthogonal function.

A kind of multi-carrier data transmission method the most according to claim 1, it is characterised in that when in signalTime,The most unequal and at time domain orthogonal, respectively The spectrum aliasing of function, i.e. eachMust be with certainSpectral aliasing, can not divide with wave filter in frequency domain From；WhenTime,The most unequal and in time domain just Hand over,WithIn sequenceWithTake, respectively for appointingThe spectrum aliasing of function, each of whichMust be with certainSpectral aliasing, Can not separate with wave filter in frequency domain.

A kind of multi-carrier data transmission method the most according to claim 1, it is characterised in that h^(l)(x)(t), l=1, 2 ..., in L (x), unequal all h^(l)(x)T () is in time domain pairwise orthogonal, the spectrum aliasing of each function, each of whichMust be with certainSpectral aliasing, can not separate with wave filter in frequency domain.

11. a kind of multi-carrier data transmission methods according to claim 1, it is characterised in that when It is expressed asTime, if signal expressionInTime,It is the most unequal and at time domain orthogonal, The spectrum aliasing of each function, each of whichMust be with certainSpectral aliasing, wave filter can not be used in frequency domain Separate；WhenTime,The most unequal and time Territory is orthogonal, sequenceThen take, respectively for appointingThe spectrum aliasing of function, each of whichMust be with certainSpectral aliasing, can not separate with wave filter in frequency domain.