CN104735017B - A kind of non-orthogonal multi-carrier digital modulation and demodulation method and device - Google Patents
A kind of non-orthogonal multi-carrier digital modulation and demodulation method and device Download PDFInfo
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- CN104735017B CN104735017B CN201510133168.4A CN201510133168A CN104735017B CN 104735017 B CN104735017 B CN 104735017B CN 201510133168 A CN201510133168 A CN 201510133168A CN 104735017 B CN104735017 B CN 104735017B
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L27/00—Modulated-carrier systems
- H04L27/26—Systems using multi-frequency codes
- H04L27/2601—Multicarrier modulation systems
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L27/00—Modulated-carrier systems
- H04L27/26—Systems using multi-frequency codes
- H04L27/2601—Multicarrier modulation systems
- H04L27/2626—Arrangements specific to the transmitter only
- H04L27/2627—Modulators
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L27/00—Modulated-carrier systems
- H04L27/26—Systems using multi-frequency codes
- H04L27/2601—Multicarrier modulation systems
- H04L27/2647—Arrangements specific to the receiver only
- H04L27/2649—Demodulators
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Abstract
The invention discloses a kind of non-orthogonal multi-carrier digital modulation and demodulation method, comprise the steps of：Exploitable channel is divided into several sub-carrier channels；Message sink coding, channel coding, mapping, multi-carrier modulation will be carried out from exterior input data and add protection interval processing, obtain multiple carrier digital signal；Multiple carrier digital signal is converted into analog signal, then is amplified, is finally transmitted in wireless channel；Received signal is converted into electric signal, converts analog signals into digital received signals after amplification again；Digital received signals are estimated by parameter estimation algorithm, obtain the frequency, amplitude and phase of multicarrier, and then complete to demodulate and export data.The method and device of the present invention, overcomes influence of the carrier wave frequency deviation to orthogonal multiple carrier wave systems such as OFDM, can realize the higher availability of frequency spectrum and preferable anti-Doppler.
Description
Technical field
The present invention relates to the communications field, more particularly to a kind of non-orthogonal multi-carrier digital modulation and demodulation method and device.
Background technology
In wireless communications, limited channel width, the multi-path jamming of signal and Doppler frequency shift etc. affect channel radio
The development of letter.To make full use of channel resource, the utilization rate of frequency band is improved, introduces Orthogonal Frequency Division Multiplexing in the communications
(OFDM)。
OFDM technology choose multicarrier be it is mutually orthogonal, spectrum overlapping.Between multicarrier (assuming that number is N) just
The property handed over is as described below：
Wherein T is the symbol period of OFDM, ωiAnd ωjIt is the frequency of i-th and j carrier wave, i, j ∈ [0,1...N-1].
Orthogonality makes each subcarrier include integral multiple cycle, and adjacent multicarrier within an OFDM symbol cycle in time domain
Between differ several fixed cycles；On frequency domain, at a sub- spectrum of carrier peak value, the values of other subcarriers is all zero and each
The frequency spectrum of subcarrier have 1/2 it is overlapping, so OFDM technology has the very high availability of frequency spectrum.
If the data symbol that each subcarrier of ofdm system is assigned to is di(i=0,1...N-1), i-th multicarrier
Frequency is：fi=f0+ i/T, wherein f0It is the frequency of the 0th subcarrier.If rectangular function rect (t)=1, | t |≤T/2, from t
=tsMoment, modulated ofdm signal are：
To simplify the analysis, by ts0 is set to, and ignores rectangular function rect (t), then to the signal s (t) of (formula 2)
The sampling that rate is N/T is sampled, obtains OFDM digital signals：
In receiving terminal, baseband signal can be demodulated by the orthogonality between subcarrier：
The serial signal cycle before the opposite progress OFDM modulation of the symbol period of every sub-channels in OFDM technology is big, then
Plus introducing protection interval so that ofdm system has very strong anti-multipath jamming ability.
In wireless communications, it is difficult since receiving terminal and transmitting terminal cause there are relative motion the Doppler frequency shift of carrier wave
To avoid.When carrier frequency shift occurs for OFDM, each subcarrier is being recovered just by Frequency Estimation and compensation in demodulating end
The property handed over, then be demodulated.In practical applications, OFDM could pass through frequency only when frequency displacement is smaller with respect to intercarrier spacing
Estimation compensation recovers orthogonality, when frequency displacement is larger, will be unable to correctly recover the orthogonality between carrier wave, makes the mistake of demodulating end
Code check raises rapidly.Such as ofdm system requires frequency deviation to be less than the 4% of carrier wave interval under the channel of additive white Gaussian noise,
Under fading channel, it is desirable to which frequency deviation is less than the 1%~2% of carrier wave interval.
Analyzed more than, OFDM has the characteristics that the availability of frequency spectrum is high, ability of anti-multipath is strong, but OFDM requires son
Carrier wave strict orthogonal, it is sensitive to frequency deviation.And Doppler frequency shift is the phenomenon being difficult to avoid that in wireless communication, therefore Doppler frequency shift
An important factor for as the communication quality for influencing OFDM and application.Further, it is all based on orthogonal to become influence for carrier wave frequency deviation
Multi-transceiver technology is the application of the communications field an important factor for.
The content of the invention
The shortcomings that it is an object of the invention to overcome the prior art and deficiency, there is provided a kind of non-orthogonal multi-carrier digital modulation
With demodulation method, influence of the carrier wave frequency deviation to orthogonal multiple carrier wave systems such as OFDM is overcome, do not required in transmitting terminal and receiving terminal
Multi-carrier orthogonal.
Another object of the present invention is to provide a kind of non-orthogonal multi-carrier digital modulation and demodulating equipment.
The purpose of the present invention is realized by following technical solution：
A kind of non-orthogonal multi-carrier digital modulation and demodulation method, the step of comprising following order：
S1. according to channel characteristics, exploitable channel is divided into several sub-carrier channels；
S2. digital modulation processing unit will carry out message sink coding, channel coding, mapping, more from exterior input data
Carrier modulation and addition protection interval processing, obtain multiple carrier digital signal；
Specifically, first, it is input to from exterior data after digital modulation processing unit and carries out message sink coding, letter respectively
Road encodes and mapping is handled to improve the reliability and validity of data transfer.Then, digital modulation processing unit to data into
The serial/parallel conversion of row, and the parallel data after conversion is modulated on multicarrier and adds protection interval, obtain digital multi-carrier letter
Number.
Multiple carrier digital signal is converted into analog signal by S3.D/A converters, then is amplified by power amplifier,
Finally it is transmitted to by wireless transmitter in wireless channel；
S4. received signal is converted to electric signal by wireless receiver, after amplifying by preamplifier, then passes through A/D
Converter converts analog signals into digital received signals；
Baseband signal is input to preamplifier and is amplified to the size for being appropriate for subsequent treatment.Because signal is by wireless
The decay of channel, will diminish in the signal that receiving terminal receives, to carry out follow-up processing, it is necessary to carry out the amplification of amplitude.
The signal of preposition amplification output passes through A/D converter, is converted to digital received signals, and it is single to be then input to digital demodulation processing
Member.Digital demodulation processing unit in the receiving terminal handles the digital received signals that A/D converter obtains, including
The function modules such as protection interval, parameter Estimation, demapping, channel decoding and source decoding are removed, wherein parameter Estimation is to realize
The key of nonopiate digital demodulation.The parameter Estimation refer to using high-performance parameter algorithm for estimating into line frequency, amplitude and
The estimation of the parameters such as phase and parameter marshalling, obtain orderly amplitude phase estimate combination.Numeral after parameter Estimation is completed
Demodulation process unit is further carried out planisphere demapping, channel decoding and source decoding and obtains transmission data.Receiving terminal
Power supply energizes for all unit modules of receiving terminal.
S5. digital received signals are estimated by parameter estimation algorithm, obtains the frequency, amplitude and phase of multicarrier
Position, and then complete to demodulate and export data.
The non-orthogonal multi-carrier digital modulation and demodulation method, comprise the following steps that：
(1) according to channel characteristics, exploitable channel is divided into N number of sub-carrier channels；If the subcarrier of signal is：
To send signal encoded and planisphere mapping after, carry out serial to parallel conversion, single channel high-speed data is converted into N
The parallel low speed data in road is simultaneously modulated on multicarrier；Modulated multi-carrier signal is：
I ∈ [0,1...N-1], wherein A are carrier amplitude, and f is carrier frequency, and φ is carrier phase；Corresponding to f0＜ f1
＜ ... ＜ fN-1, { (A is combined by amplitude phase value0,φ0),(A1,φ1)...(AN-1,φN-1) carry transmission information, that is, send out
The modulates information for the number of delivering letters has arrived (Ai,φi) on；
(2) D/A conversions are carried out to the multi-carrier signal s (n) modulated and obtains modulated-analog signal s (t), s (t) is by power
Amplifier carries out power amplification, and signal is moved to the frequency range of suitable wireless channel transmission by up-converter module, then by wirelessly sending out
Module is penetrated to launch；
(3) in receiving terminal, wireless receiver receives wireless signal and is converted to electric signal, then utilizes down conversion module
Signal is moved into base band, baseband signal carries out A/D conversions after preamplifier amplifies, and obtains digital received signals；
(4) digital received signals carry out digital demodulation：Using high performance parameter estimation algorithm to digital received signals into
Row parameter Estimation, obtains the estimate of the frequency of each subcarrier, amplitude and phase
(5) parameter is estimated to the N groups obtained by parameter estimation algorithm, according to estimation frequencyBetween relative size, to corresponding
Estimated amplitudeWith estimation phaseIt is ranked up, obtains the N group amplitude phase values for carrying information；Specifically, parameter estimation algorithm
ObtainIfThen the built-up sequence of definite amplitude and phase is
It can be obtained by N groups estimation parameterThe combination of the estimates of parameters carries transmission information；
(6) combined by amplitude phase valueCarry out planisphere demapping and decoding etc.
Operate to obtain transmission data.
It is described that exploitable channel is divided into N number of sub-carrier channels in step (1), according to channel performance and reception
The parameter estimation algorithm at end selects.Can use in frequency band virgin's carrier frequency separation of channel performance difference it is bigger, in channel
The very little that the good local subcarrier spacing of performance can use；Selected method for parameter estimation frequency resolution is low, then subcarrier frequency
Rate interval can obtain greatly；Selected method for parameter estimation frequency resolution is high, then sub-carrier frequencies interval can obtain small.
System does not require subcarrier strict orthogonal, only requires and meets carrier frequency separation condition, i.e.,：The frequency interval of subcarrier is more than most
Big frequency displacement and more than or equal to the frequency resolution of parameter estimation algorithm.In the case where meeting the condition, frequency is occurring for subcarrier
During shifting, the relative size between them will not change, and can by parameter estimation algorithm estimating into line frequency, amplitude and phase
Meter.
The parameter estimation algorithm is the reasonable combination parameter algorithm for estimating of spectral line, obtains digital received signalsAfterwards,
Obtain frequency, the process of amplitude and phase is：
A, to the signal of N pointsZero padding is to 2N points, and to the signal after zero paddingCarry out the FFT of 2N points；
B, by 2N point signalsFFT obtain power spectrum p (k) and phase spectrum D (k)；
C, N number of spectral peak is obtained by power spectrum p (k), is denoted as ki, i ∈ [0,1...N-1], and obtained according to formula (7) each
The estimation angular frequency of subcarrier：
WhereinBy estimation angular frequencyIt can must estimate frequencyAnd it is readily available estimation
Amplitude
D, on the basis of solution obtains frequency and amplitude, estimation phase can be obtained according to phase spectrum D (k) and formula (8)
Position：
Wherein
Another object of the present invention is realized by following technical solution：
A kind of non-orthogonal multi-carrier digital modulation and demodulating equipment, including sending module, pass through wireless channel with send mould
The receiving module that block is connected, the sending module include the connected digital modulation processing unit of order, D/A converter, power
Amplifier, wireless transmitter, the receiving module include the connected wireless receiver of order, preamplifier, A/D conversions
Device, digital demodulation processing unit.
The wireless transmitter includes up-converter module and transmitting module, and up-converter module is selected according to concrete application,
Analog signal after power amplification passes through up-converter module, moves the frequency of suitable wireless channel propagation, then by transmitting module
Transmitting.
The transmitting module is radio-frequency antenna, or is electro-acoustic transducer.Transmitting module can also be other wireless communications
Number transmitter.
The wireless receiver includes wireless receiving module and down conversion module, and wireless receiving module is from wireless channel
Middle received signal is converted to electric signal, and down conversion module moves electric signal to obtain baseband signal, and down conversion module can basis
Concrete application selects.
The wireless receiving module is the antenna for receiving electromagnetic wave, or is sound-electric transducer.Wireless receiving module is also
It can be the receiver of other forms wireless signal.
The wireless channel is underwater acoustic channel.
Compared with prior art, the present invention having the following advantages that and beneficial effect：
(1) the frequency division multi-carrier communications systems based on spectrum overlapping of carrier wave frequency deviation can be overcome by realizing.
Since the carrier spectrum of the present invention can be overlapping, and subcarrier is not being required strictly just in transmitting terminal and receiving terminal
Hand over, only require and meet carrier frequency separation condition, so the present invention can realize the higher availability of frequency spectrum and preferably
Anti-Doppler.
(2) requirement of sub-carrier of the present invention is low, readily satisfies, and can make full use of band resource.
Carrier frequency separation of the frequency division multi-carrier communications systems under specific application environment has certain requirement, relative to
OFDM etc. is strict with the communication system of sub-carrier orthogonality, and carrier frequency separation condition of the invention readily satisfies.Meeting
Under the conditions of carrier frequency separation, carrier frequency separation can be as small as possible, substantially increases the band efficiency of system.
(3) present invention is feasible.
The key of the present invention is to realize high performance parameter Estimation, on software, existing a variety of high performance parameter Estimations
Algorithm is suggested, including the parameter estimation algorithm of time domain and frequency domain；On hardware, with carrying for modern computer computing capability
Height, computer can be used to carry out high performance parameter Estimation as digital demodulation processing unit in receiving terminal, realize digital solution
Adjust.
(4) digital modulation and demodulation of the invention are flexible.
With the raising of modern computer computing capability, computer can be used as digital modulation processing unit and digital solution
Processing unit is adjusted, the Programmable Dynamic modulation of flexible multicarrier is carried out in transmitting terminal, flexibly may be programmed in receiving terminal
High-performance parameter estimation, improve the flexibility of system and reduce the complexity of system hardware.
(5) carrier wave frequency deviation is overcome to provide a kind of beneficial solution for wireless multi-carrier communication system.
The present invention only require the characteristics of bandwidth partition meets carrier frequency separation condition cause it is similar with the present invention it is non-just
The orthogonal multiple carrier such as multi-carrier communications systems and OFDM communication system is handed over after being modulated and demodulating a small amount of change of rule,
It can use the present invention docking collection of letters number directly to carry out digital demodulation, be conducive to overcome the influence of carrier wave frequency deviation.
Brief description of the drawings
Fig. 1 divides schematic diagram for spectral bandwidth；
Fig. 2 is the structure diagram of non-orthogonal multi-carrier digital modulation of the present invention and demodulating equipment；
Fig. 3 is the functional block diagram of the digital modulation unit of Fig. 2 described devices；
Fig. 4 is the functional block diagram of the digital demodulation unit of Fig. 2 described devices；
Fig. 5 is the flow chart of non-orthogonal multi-carrier digital modulation of the present invention and demodulation method.
Embodiment
With reference to embodiment and attached drawing, the present invention is described in further detail, but embodiments of the present invention are unlimited
In this.
Such as Fig. 2,3,4, a kind of non-orthogonal multi-carrier digital modulation and demodulating equipment, including sending module, pass through wireless communication
The receiving module that road is connected with sending module, the sending module includes the connected digital modulation processing unit of order, D/A turns
Parallel operation, power amplifier, wireless transmitter, the receiving module include the connected wireless receiver of order, preamplifier,
A/D converter, digital demodulation processing unit.
The wireless transmitter includes up-converter module and transmitting module, and up-converter module is selected according to concrete application,
Analog signal after power amplification passes through up-converter module, moves the frequency of suitable wireless channel propagation, then by transmitting module
Transmitting.
The transmitting module is radio-frequency antenna, or is electro-acoustic transducer.Transmitting module can also be other wireless communications
Number transmitter.
The wireless receiver includes wireless receiving module and down conversion module, and wireless receiving module is from wireless channel
Middle received signal is converted to electric signal, and down conversion module moves electric signal to obtain baseband signal, and down conversion module can basis
Concrete application selects.
The wireless receiving module is the antenna for receiving electromagnetic wave, or is sound-electric transducer.Wireless receiving module is also
It can be the receiver of other forms wireless signal.
The wireless channel is underwater acoustic channel.
As shown in figure 5, a kind of non-orthogonal multi-carrier digital modulation and demodulation method, comprising following steps in sequence：
(1) such as Fig. 1, according to channel characteristics, exploitable channel is divided into several sub-carrier channels.It is poor in channel performance
Frequency band virgin's carrier frequency separation can use bigger, can use in the good local subcarrier spacing of channel performance smaller.
It is located at frequency band f1~f2It is poor to locate channel condition, frequency band f3~f4It is preferable to locate channel condition, then in frequency band f1~f2Interior setting K1
A subcarrier, in frequency band f3~f4Interior setting K2A subcarrier.Wherein, K1＜ K2.If K1+K2=N, therefore a shared N ways carry
Ripple.
(2) digital modulation processing unit will carry out message sink coding, channel coding, mapping, more from exterior input data
The processing such as carrier modulation and addition protection interval, obtains multiple carrier digital signal.The module can use DSP and micro processor combination
Realize, it is possible to use high-performance computer is realized.
First, data are input to after digital modulation processing unit carries out message sink coding, channel coding and mapping processing respectively.
Since underwater acoustic channel is complicated time varying channel, to make data quickly and accurately be transmitted, can be taken for different channels
Different codings and mapping.For example, in the case where signal-to-noise ratio is low, to reduce the bit error rate of system, forward error correction can be used to compile
The combination of code, intertexture and 2ASK modulation.
Then, digital modulation processing unit carries out serial to parallel conversion to data, and it is parallel that highspeed serial data stream is converted into N roads
Low rate data streams are simultaneously modulated on multicarrier and add protection interval, obtain multi-carrier signal.If sub-carrier signal is：
Modulated multi-carrier signal is：
Since the solution of the present invention does not require strict orthogonal between multicarrier, so baseband signal can be modulated to respectively each
On multicarrier, combined modulation can be also carried out.
(3) the multi-carrier signal s (n) that digital modulation processing unit obtains is input to D/A converter and is converted into simulation letter
Number s (t), then be amplified by power amplifier, amplified s (t) is finally transmitted to underwater acoustic channel by electro-acoustic transducer
In.
(4) first, the sound-electric transducer of receiving terminal receives the acoustical signal from underwater acoustic channel, and is converted into electric signal.Connect
The value that will be enlarged into a suitable subsequent conditioning circuit processing by the electric signal of wireless receiver conversion using preamplifier.Most
Afterwards, A/D converter carries out analog/digital conversion to amplified signal, converts analog signals into digital received signals
(5) digital received signals obtained by step (4)Using high-performance parameter algorithm for estimating, overloading is estimated
Frequency, amplitude and the phase of ripple, and then demodulate transmission data.
Realize the digital demodulation processing unit functional structure of estimation demodulation as shown in figure 4, including removing protection interval, parameter
The function modules such as estimation, demapping, channel decoding and source decoding, can be realized, it is possible to use high by DSP and micro processor combination
Project Computer is realized.
The important step that parameter Estimation is the present invention is carried out using parameter estimation algorithm, in the case of middle low signal-to-noise ratio still
The algorithm that certain estimated accuracy can so be reached has several classes：The maximum likelihood method of Frequency Estimation, the frequency using DFT transform as rough estimate
Domain algorithm for estimating, the time domain algorithm for estimating based on auto-correlation function and parameter estimation algorithm based on subspace etc..
The present embodiment, by taking the reasonable combination parameter algorithm for estimating of spectral line as an example, which is one kind using DFT transform as rough estimate
Frequency domain algorithm for estimating：Obtain digital received signalsAfterwards, the process of acquisition frequency, amplitude and phase is：
A, to the signal of N pointsZero padding is to 2N points, and to the signal after zero paddingCarry out the FFT of 2N points；
B, by 2N point signalsFFT obtain power spectrum p (k) and phase spectrum D (k)；
C, N number of spectral peak is obtained by power spectrum p (k), is denoted as ki, i ∈ [0,1...N-1], and obtained according to formula (7) each
The estimation angular frequency of subcarrier：
WhereinBy estimation angular frequencyIt can must estimate frequencyAnd it is readily available estimation
Amplitude
D, on the basis of solution obtains frequency and amplitude, estimation phase can be obtained according to phase spectrum D (k) and formula (8)
Position：
Wherein
Parameter estimation algorithm can obtainThe sequence of parameter is carried out further according to the relative size of estimation frequency.Tool
On body, ifThen the built-up sequence of definite amplitude and phase isEstimated by N groups
Parameter can obtainAmplitude phase value combination carries the information for sending data.
Finally according to the mapping relations of system, demapping is carried out to the amplitude phase value combination for obtaining orderly, then carry out letter
Road decodes and source decoding obtains and sends data.
(6) data will be sent to export to user.
Above-described embodiment is the preferable embodiment of the present invention, but embodiments of the present invention and from above-described embodiment
Limitation, other any Spirit Essences without departing from the present invention with made under principle change, modification, replacement, combine, simplification,
Equivalent substitute mode is should be, is included within protection scope of the present invention.
Claims (8)
1. a kind of non-orthogonal multi-carrier digital modulation and demodulation method, it is characterised in that the step of comprising following order：
S1. according to channel characteristics, exploitable channel is divided into several sub-carrier channels；
S2. digital modulation processing unit will carry out message sink coding, channel coding, mapping, multicarrier from exterior input data
Modulation and addition protection interval processing, obtain multiple carrier digital signal；
Multiple carrier digital signal is converted into analog signal by S3.D/A converters, then is amplified by power amplifier, finally
It is transmitted to by wireless transmitter in wireless channel；
S4. received signal is converted to electric signal by wireless receiver, after being amplified by preamplifier, then is changed by A/D
Device converts analog signals into digital received signals；
S5. digital received signals are estimated by parameter estimation algorithm, obtains the frequency, amplitude and phase of multicarrier, into
And complete to demodulate and export data；
Comprise the following steps that：
(1) according to channel characteristics, exploitable channel is divided into N number of sub-carrier channels；If the subcarrier of signal is：
To send signal encoded and planisphere mapping after, carry out serial to parallel conversion, single channel high-speed data is converted into N roads simultaneously
Row low speed data is simultaneously modulated on multicarrier；Modulated multi-carrier signal is：
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I ∈ [0,1...N-1], wherein A are carrier amplitude, and f is carrier frequency, and φ is carrier phase；Corresponding to f0＜ f1＜ ... ＜
fN-1, { (A is combined by amplitude phase value0,φ0),(A1,φ1)...(AN-1,φN-1) carry transmission information, that is, send signal
Modulates information arrived (Ai,φi) on；
(2) D/A conversions are carried out to the multi-carrier signal s (n) modulated and obtains modulated-analog signal s (t), s (t) is by power amplification
Device carries out power amplification, and signal is moved to the frequency range of suitable wireless channel transmission by up-converter module, then by wireless transmission mould
Block is launched；
(3) in receiving terminal, wireless receiver receives wireless signal and is converted to electric signal, will then be believed using down conversion module
Number base band is moved, baseband signal carries out A/D conversions after preamplifier amplifies, and obtains digital received signals；
(4) digital received signals carry out digital demodulation：Digital received signals are joined using high performance parameter estimation algorithm
Number estimation, obtains the estimate of the frequency of each subcarrier, amplitude and phase
(5) parameter is estimated to the N groups obtained by parameter estimation algorithm, according to estimation frequencyBetween relative size, to corresponding
Estimated amplitudeWith estimation phaseIt is ranked up, obtains the N group amplitude phase values for carrying information；Specifically, parameter estimation algorithm
ObtainIfThen the built-up sequence of definite amplitude and phase is
It can be obtained by N groups estimation parameterThe combination of the estimates of parameters carries transmission letter
Breath；
(6) combined by amplitude phase valueCarry out planisphere demapping and decoded operation with
Obtain and send data；
It is described that exploitable channel is divided into N number of sub-carrier channels in step (1), according to channel performance and receiving terminal
Parameter estimation algorithm selects.
2. non-orthogonal multi-carrier digital modulation according to claim 1 and demodulation method, it is characterised in that the parameter
Algorithm for estimating is the reasonable combination parameter algorithm for estimating of spectral line, obtains digital received signalsAfterwards, frequency, amplitude and phase are obtained
Process be：
A, to the signal of N pointsZero padding is to 2N points, and to the signal after zero paddingCarry out the FFT of 2N points；
B, by 2N point signalsFFT obtain power spectrum p (k) and phase spectrum D (k)；
C, N number of spectral peak is obtained by power spectrum p (k), is denoted as ki, i ∈ [0,1...N-1], and every height is obtained according to formula (7) and is carried
The estimation angular frequency of ripple：
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WhereinBy estimation angular frequencyIt can must estimate frequencyAnd it is readily available estimated amplitude
D, on the basis of solution obtains estimation frequency and estimated amplitude, can be estimated according to phase spectrum D (k) and formula (8)
Count phase：
<mrow>
<msub>
<mover>
<mi>&phi;</mi>
<mo>^</mo>
</mover>
<mi>i</mi>
</msub>
<mo>=</mo>
<mfrac>
<mrow>
<msubsup>
<mi>&Sigma;</mi>
<mrow>
<msub>
<mi>k</mi>
<mi>i</mi>
</msub>
<mo>=</mo>
<msub>
<mi>k</mi>
<mi>i</mi>
</msub>
<mo>-</mo>
<mn>1</mn>
</mrow>
<mrow>
<msub>
<mi>k</mi>
<mi>i</mi>
</msub>
<mo>=</mo>
<msub>
<mi>k</mi>
<mi>i</mi>
</msub>
<mo>+</mo>
<mn>1</mn>
</mrow>
</msubsup>
<mrow>
<mo>(</mo>
<mi>D</mi>
<mo>(</mo>
<msub>
<mi>k</mi>
<mi>i</mi>
</msub>
<mo>)</mo>
<mo>-</mo>
<mfrac>
<mrow>
<mo>(</mo>
<msub>
<mover>
<mi>&omega;</mi>
<mo>^</mo>
</mover>
<mi>i</mi>
</msub>
<mo>-</mo>
<msub>
<mi>k</mi>
<mi>i</mi>
</msub>
<msub>
<mi>&omega;</mi>
<mi>s</mi>
</msub>
<mo>)</mo>
<mo>(</mo>
<mi>N</mi>
<mo>-</mo>
<mn>1</mn>
<mo>)</mo>
</mrow>
<mn>2</mn>
</mfrac>
<mo>)</mo>
</mrow>
</mrow>
<mrow>
<mn>2</mn>
<msub>
<mi>k</mi>
<mi>i</mi>
</msub>
<mo>+</mo>
<mn>1</mn>
</mrow>
</mfrac>
<mo>-</mo>
<mo>-</mo>
<mo>-</mo>
<mrow>
<mo>(</mo>
<mn>8</mn>
<mo>)</mo>
</mrow>
</mrow>
Wherein
3. for the non-orthogonal multi-carrier digital modulation described in claim 1 or 2 and a kind of non-orthogonal multi-carrier of demodulation method
Digital modulation and demodulating equipment, it is characterised in that：The reception mould being connected including sending module, by wireless channel with sending module
Block, the sending module include the connected digital modulation processing unit of order, D/A converter, power amplifier, wireless transmission
Device, the receiving module include the connected wireless receiver of order, preamplifier, A/D converter, digital demodulation processing list
Member.
4. non-orthogonal multi-carrier digital modulation according to claim 3 and demodulating equipment, it is characterised in that：Described is wireless
Transmitter includes up-converter module and transmitting module, and up-converter module is selected according to concrete application, the simulation letter after power amplification
Number pass through up-converter module, move the frequency of suitable wireless channel propagation, then launched by transmitting module.
5. non-orthogonal multi-carrier digital modulation according to claim 4 and demodulating equipment, it is characterised in that：The transmitting
Module is radio-frequency antenna, or is electro-acoustic transducer.
6. non-orthogonal multi-carrier digital modulation according to claim 3 and demodulating equipment, it is characterised in that：Described is wireless
Receiver includes wireless receiving module and down conversion module, and wireless receiving module handle received signal from wireless channel is converted to
Electric signal, down conversion module move electric signal to obtain baseband signal, and down conversion module can be selected according to concrete application.
7. non-orthogonal multi-carrier digital modulation according to claim 6 and demodulating equipment, it is characterised in that：Described is wireless
Receiving module is the antenna for receiving electromagnetic wave, or is sound-electric transducer.
8. non-orthogonal multi-carrier digital modulation according to claim 3 and demodulating equipment, it is characterised in that：Described is wireless
Channel is underwater acoustic channel.
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| CN107786478B (en) * | 2016-08-31 | 2019-11-29 | 谢毅华 | Digital signal modulating mehtod, demodulation method and device |
| US10644820B2 (en) * | 2017-02-06 | 2020-05-05 | Huawei Technologies Co., Ltd. | Waveform-coding for multicarrier wake up radio frame |
| CN109150264A (en) * | 2017-06-15 | 2019-01-04 | 索尼公司 | Electronic equipment and wireless communications method |
| CN107888276B (en) * | 2017-11-14 | 2020-05-08 | 中国电子科技集团公司第五十四研究所 | Multi-frequency band multi-mode modulation and demodulation device |
| CN109005139A (en) * | 2018-06-30 | 2018-12-14 | 华南理工大学 | A kind of quadrature amplitude modulation demodulation method and its planisphere optimization method |
| CN110493155B (en) * | 2019-07-27 | 2021-11-19 | 西南电子技术研究所（中国电子科技集团公司第十研究所） | OFDM multi-carrier weighted decoding system |
| CA3186171A1 (en) * | 2020-07-17 | 2022-01-20 | Proceq Sa | Method for probing a subsurface structure |
| CN113726481B (en) * | 2021-09-18 | 2023-03-21 | 中国科学院计算技术研究所 | Secure communication method, device and system for wireless communication |
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