WO2022213764A1 - 一种基于m-fsk调制的接收机及其接收方法 - Google Patents
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- H04L27/00—Modulated-carrier systems
- H04L27/10—Frequency-modulated carrier systems, i.e. using frequency-shift keying
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- H—ELECTRICITY
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- H04L27/00—Modulated-carrier systems
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- H04L27/106—M-ary FSK
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- H04L27/00—Modulated-carrier systems
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- H04L27/12—Modulator circuits; Transmitter circuits
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- H04L27/26—Systems using multi-frequency codes
- H04L27/2601—Multicarrier modulation systems
- H04L27/2647—Arrangements specific to the receiver only
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- H—ELECTRICITY
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- H04L27/00—Modulated-carrier systems
- H04L27/26—Systems using multi-frequency codes
- H04L27/2601—Multicarrier modulation systems
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- H—ELECTRICITY
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- H04L27/2601—Multicarrier modulation systems
- H04L27/2647—Arrangements specific to the receiver only
- H04L27/2655—Synchronisation arrangements
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- H—ELECTRICITY
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- H04L27/2601—Multicarrier modulation systems
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- H04L27/26025—Numerology, i.e. varying one or more of symbol duration, subcarrier spacing, Fourier transform size, sampling rate or down-clocking
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- Y02D30/00—Reducing energy consumption in communication networks
- Y02D30/70—Reducing energy consumption in communication networks in wireless communication networks
Definitions
- the present application relates to the field of communication technologies, and in particular, to a receiver based on M-FSK modulation and a receiving method thereof.
- Demodulation is the process of recovering a message from a modulated signal that carries information.
- the sender modulates the carrier with the message to be transmitted to generate a signal carrying the message.
- the receiver must recover the transmitted message in order to use it, which is demodulation.
- the demodulation technology of traditional M-FSK is mostly based on the analog method, or the matching correlation detection method in the time domain. These methods have poor scalability and poor reception performance.
- the present application provides a receiving method based on M-FSK modulation, which performs M-FSK demodulation on a frame structure including a Preamble frame, a SYNC frame and a Data frame.
- M-FSK refers to the M-order frequency shift keying, which is to select one of the consecutive M orthogonal modulation frequency points in the frequency domain according to the required modulation bits of each symbol, and M is the power of 2.
- each M-FSK symbol can send log2(M) bits; there are two other important parameters are the minimum frequency point interval SCS and the duration T of each symbol.
- the schematic diagram of M-FSK modulation is shown in Figure 8. Specifically include:
- Preamble frame If the Preamble frame is a repeating sequence and each symbol adopts M-FSK modulation, the autocorrelation time-frequency synchronization technology is used to demodulate the M-FSK frame of the Preamble frame; if the Preamble frame is a non-repetitive sequence, use The time-frequency synchronization technology of cross-correlation sliding FFT performs M-FSK demodulation of Preamble frame;
- M-FSK data demodulation technology of adaptive scalable FFT is used to demodulate SYNC frame and Data frame.
- the above-mentioned receiving method based on M-FSK modulation wherein, if the Preamble frame is a repeating sequence and each symbol adopts M-FSK modulation, the autocorrelation of the preamble frame sequence before and after obtains a new sequence, and on the basis of satisfying the threshold, the synchronization point is the autocorrelation point.
- the preamble synchronization point corresponding to the correlation peak point when the autocorrelation value is the largest, it means that the complete Preamble sequence is received.
- the non-repetitive sequences include non-repetitive sequences modulated based on M-FSK sequences, and are also suitable for other sequences or other modulation methods, and CAZAC sequences and ZadoffChu sequences are supported.
- the above-mentioned receiving method based on M-FSK modulation wherein, the time-frequency synchronization technology of cross-correlation sliding FFT is specifically based on the sliding FFT method of receiving M-FSK modulation sequence and local sequence, and the local sequence can be extended for the same sampling rate
- the received signal is subjected to conjugate point multiplication to achieve the function of de-sequencing information; it is transformed into the frequency domain to obtain the maximum value and frequency domain position information, and the correlation peak value at the moment and the value used for frequency offset estimation are obtained, and the peak value at different times is compared.
- the value is greater than a certain threshold, which is the leading time synchronization point.
- the frequency offset value is obtained according to the frequency point position at the synchronization time and the frequency represented by the DC frequency point interval.
- the M-FSK data demodulation technology of adaptive scalable FFT is specifically based on frequency point interval SCS/symbol duration/modulation frequency point number demodulation and scalable Advanced M-FSK FSK transmits symbols, and adaptive demodulation is based on data demodulation of M-FSK modulation.
- the above-mentioned receiving method based on M-FSK modulation wherein, based on the multi-antenna combining technique with the frequency domain peak value as the correlation combining coefficient, the data symbol demodulation combining is based on the combining of each M-FSK symbol, and each antenna combining
- the weight is the value corresponding to the maximum energy of all frequency points after the M-FSK symbol is transformed to the frequency domain, or only the maximum value on the modulation frequency point is retained.
- the combining weight of each antenna is the value corresponding to the maximum energy in the frequency domain of the M-FSK symbol.
- the present application also provides a receiving method based on M-FSK modulation, which performs M-FSK demodulation on a frame structure including a Preamble frame, a SYNC frame and a Data frame, specifically including:
- the Autocorrelation time-frequency synchronization technology is used to perform SNR detection and time-frequency synchronization of the Preamble frame; if the Preamble frame is a non-repetitive sequence, then The time-frequency synchronization technology of cross-correlation sliding FFT is used to perform SNR detection and time-frequency synchronization of the Preamble frame;
- the above-mentioned receiving method based on M-FSK modulation wherein, based on the multi-antenna combining technique with the frequency domain peak value as the correlation combining coefficient, the data symbol demodulation combining is based on the combining of each M-FSK symbol, and each antenna combining
- the weight is the value corresponding to the maximum energy of all frequency points after the M-FSK symbol is transformed to the frequency domain, or only the maximum value on the modulation frequency point is retained.
- the combining weight of each antenna is the value corresponding to the maximum energy in the frequency domain of the M-FSK symbol.
- the synchronization time point, the frequency domain peak or the energy near the peak of the de-sequenced information is the signal energy, and the signal energy is the noise energy, and the SNR is obtained according to the signal energy and the noise energy;
- the total energy of the peak or the points near the peak in the frequency domain is the signal energy
- the external frequency points of the signal energy are the noise energy
- the SNR is obtained according to the signal energy and the noise energy.
- the present application further provides a receiver based on M-FSK modulation, including: the receiver executes the receiving method based on M-FSK modulation described in any one of the above.
- This application achieves a lower sensitivity based on Advanced M-FSK through receiver-related technologies, while adapting to various multipath and Doppler scenarios;
- the application adopts synchronization technology, which greatly improves the sensitivity of the detection technology, and can also synchronize the frequency when the frequency offset is large, which can save the TCXO at the transmitting end;
- the present application adopts the demodulation technology based on adaptive FFT, and the maximum likelihood demodulation performance can be obtained;
- This application adopts the multi-antenna combining technology to enable the receiving end to obtain energy and diversity gain
- the M-FSK energy detection and SNR measurement method of the present application enables the receiving end to obtain the corresponding receiving conditions more accurately.
- Figure 1 is a schematic diagram of an advanced receiver algorithm for M-FSK digital demodulation based on zero intermediate frequency
- FIG. 2 is a schematic diagram of a receiving method based on M-FSK modulation provided by Embodiment 1 of the present application;
- Fig. 3 is the receiving schematic diagram that the receiver is for the repetition sequence Preamble frame
- Fig. 4 is a schematic diagram of the association relationship between the Preamble frame sequence and the autocorrelation value
- Fig. 5 is a schematic diagram of the reception of a non-repetitive sequence Preamble frame by a receiver
- FIG. 6 is a schematic diagram of the maximum frequency offset interval of the synchronization point when the Preamble frame of the non-repetitive sequence is received;
- FIG. 7 is an example diagram of an FFT adaptation based receiver algorithm.
- the receiver and receiving method based on M-FSK modulation of this application are the corresponding receiver and receiving method designed based on the Advanced M-FSK transmission technology provided by patent applications 202011132046.0 and 202011402522.6.
- the receivers together constitute the LPWAN technology based on Advanced M-FSK.
- This application introduces in detail the adaptive scalable receiver technology based on Advanced M-FSK transmission, which has the ability to detect low signal-to-noise ratio, anti-frequency offset ability, measurement technology, multi-antenna combining to obtain energy and diversity gain technology and scalable solution tuning technology.
- this application is based on M-FSK modulation technology (this application refers to the adaptive or configurable M-FSK modulation transmission technology and corresponding The receiver technology is called advanced M-FSK technology), and the frame structure of the transmitter is as follows:
- the Preamble frame is used for frame detection and frame synchronization; the SYNC frame is used for the formulation of the data format; the Data frame is sent on the M-FSK with coded or uncoded modulation, that is, it supports different modulation and coding strategies (Modulation and Coding Scheme) .
- M-FSK modulation maintains the phase continuity between symbols, namely M-CPFSK; to further reduce spectrum leakage, Gaussian filtering is added, namely M-GFSK; M-FSK in this application includes these two modulation methods.
- the M-FSK modulation method is compatible with the original 2FSK or 2GFSK format.
- the Preamble frame is sent in the original 2FSK or 2GFSK format, and the SYNC code is modulated with 2FSK or 2GFSK.
- the SYNC frame contains a variety of modulation information. If the modulation information is the same as the original 2FSK or 2GFSK If the format is the same, the Data frame adopts the original 2FSK or 2GFSK format; if the modulation information is different, the frame structure of the Data frame is transmitted according to the pre-agreed modulation.
- the modulation order M of the M-FSK modulation method is greater than or equal to 2, and the Preamble frame, the SYNC frame and the Data frame are all modulated in the M-FSK format;
- the format of the Preamble frame or the transmitted sequence information is different from the original 2FSK or 2GFSK format; it can be in the following forms:
- 1Preamble code can be a repeated sequence, the minimum repetition granularity is N symbols, N ⁇ 2, and the total number of Preamble code symbols is an integer multiple of N;
- the preamble code is a non-repetitive m-sequence modulated by 2FSK or 2GFSK, where the m-sequence is the abbreviation of the longest linear shift register sequence.
- the longest code sequence generated in the binary shift register, if n is the number of stages of the shift register, the n-stage shift register has a total of 2n states, and there are 2n-1 states left in addition to the all 0 states, so The maximum length of the code sequence it can generate is 2n-1 bits;
- 3Preamble code can be different from the original format, that is, M-FSK modulation is not required; Preamble supports CAZAC (Constant Amplitude Zero Auto Correlation) sequence, such as ZadoffChu sequence, this sequence has constant envelope characteristics and good correlation.
- CAZAC Constant Amplitude Zero Auto Correlation
- Embodiment 1 of the present application provides a receiving method based on M-FSK modulation, which adopts the M-FSK digital demodulation advanced receiver algorithm based on zero intermediate frequency as shown in FIG. 1, and is implemented based on the above-mentioned M-FSK modulation and transmission technology;
- the receiving method based on M-FSK modulation includes:
- the transmitter and receiver agree on the configuration of the frame structure of both parties in advance, including the modulation order M, the form of the Preamble frame sequence, etc. Since in the M-FSK modulation method of the transmitter, the Preamble frame can be designed as a repeating sequence or a non-repeating sequence, so When the receiver performs demodulation, it is also necessary to perform corresponding demodulation processing on the Preamble frame of repeated sequence or non-repetitive sequence:
- the autocorrelation time-frequency synchronization technology is used to perform M-FSK demodulation of the Preamble frame
- the autocorrelation sequence delay is a multiple of the minimum number of repeated sequence symbols
- the autocorrelation length is the sequence length minus the autocorrelation two-sequence delay
- the synchronization point is the preamble synchronization point corresponding to the autocorrelation peak point
- the frequency offset is based on The phase of the autocorrelation peak position and the time delay of the autocorrelation two sequences are obtained.
- the receiver receives the Preamble frame as shown in Figure 3, assuming that the repeating sequence bits are [1 0 1 0.....1 0], a total of K bits, that is, the symbol of the Preamble frame The number is K, and OSR (oversampling) is the number of samples per symbol, then the length of the transmitter Preamble frame sequence is K*OSR. Since there is a symbol delay in the frame structure transmission process, the autocorrelation received in the receiver The length of the Preamble frame sequence is (K-zz)*OSR, and zz is the number of delay symbols during autocorrelation, which is a multiple of the number of symbols of the minimum repeating sequence.
- the Preamble frame sequence is from nothing to nothing, and then from there to nothing, so the autocorrelation value gradually becomes larger, and then gradually becomes smaller, when the autocorrelation value is the largest, and is greater than a certain threshold , that is, a complete Preamble complete sequence is received, and this moment is the synchronization point of the preamble (Fig. 4 is a schematic diagram of the relationship between the Preamble frame sequence and the autocorrelation value).
- the present application adopts the autocorrelation time-frequency synchronization technology to detect and synchronize the time-frequency of the Preamble frame, so that the calculation amount used for receiving the Preamble frame is relatively low.
- the Preamble frame is a non-repetitive sequence (such as a pseudo-random sequence)
- the time-frequency synchronization technology of cross-correlation sliding FFT is used to perform M-FSK demodulation of the Preamble frame;
- Repeated sequences are also suitable for other sequences or other modulation methods, such as CAZAC sequence, ZadoffChu sequence, etc.
- the time-frequency synchronization technology of the cross-correlation sliding FFT based on the non-repetitive sequence preamble of the present application is based on the sliding FFT method of receiving M-FSK modulation sequence and local sequence;
- the signal is multiplied by the conjugate point to achieve the function of de-sequencing information.
- Transform to the frequency domain to obtain the maximum value and the frequency domain position information obtain the correlation peak value at the moment and the value used for frequency offset estimation, compare the peak value at different times, the peak value maximum value, and the time synchronization point of the preamble is greater than a certain threshold, Then, the frequency offset value is obtained according to the frequency domain position of the synchronization time point.
- the receiver receives the Preamble frame as shown in Figure 5.
- the duration of each symbol is T
- the number of samples per symbol is OSR
- the sampling The rate is T/OSR
- the length of the local sequence is K*OSR; in Figure 5, t0, t1, t2... are different sampling times, and the operation steps at each time are as follows: the received sequence and the local sequence Preamble signal s(n) do some After multiplication and other operations, it is properly filled with zeros to the length of the power of 2 to achieve the purpose of de-sequencing information.
- the frequency offset estimation range is related to the sampling rate, if the sampling rate is higher and the low-pass filter bandwidth is larger, the tolerated frequency offset range is larger, so the frequency represented by the frequency point position at the synchronization time and the DC frequency point interval Obtain the frequency offset value, such as the schematic diagram of the maximum frequency offset interval of the synchronization point shown in Figure 6. Assuming that the bandwidth of the low-pass filter is 120kHz, the allowable range of the frequency offset is ⁇ 60kHz.
- the present application adopts the time-frequency synchronization technology of cross-correlation sliding FFT to detect and synchronize the Preamble frame, which is insensitive to frequency offset and can greatly improve the sensitivity of M-FSK detection and synchronization. Taking the tolerance frequency offset means that the terminal can not use a higher crystal oscillator precision.
- the demodulation methods of the SYNC frame and the Data frame are the same, and the M-FSK data demodulation technology of adaptive scalable FFT is used for demodulation, and different decoding methods can be used for subsequent decoding.
- code this application mainly discloses the demodulation method, and the decoding method is not limited here;
- the receiver described in this application adopts the receiver algorithm based on FFT adaptation, and determines the FFTSzie and the frequency point position according to the carrier spacing SCS and the symbol rate duration T through the appropriate sampling frequency SamplingRate (SR), specifically including:
- the biggest advantage of this method is that all the energy of the M-FSK is obtained. If the OFDM has a cyclic prefix, in order to reduce the interference between symbols, a little symbol energy in front of the M-FSK symbol can be removed.
- the ceil function is rounded up.
- the present application adopts the M-FSK data demodulation technology of adaptive scalable FFT, which can obtain the maximum likelihood detection performance, and can maximize the acquisition of all the energy of the M-FSK symbol, which is especially suitable for the demodulation of low-speed narrowband communication.
- the M-FSK data demodulation technology of adaptive scalable FFT specifically adopts the receiver algorithm based on FFT adaptation, through the appropriate sampling frequency SR, according to the carrier spacing SCS and the symbol rate duration T, to determine the FFTSzie and the frequency point position, Specifically include:
- the sampling frequency is determined by the signal bandwidth
- the modulated bits are demodulated according to the frequency point.
- the second embodiment of the present application provides a receiving method based on M-FSK modulation, which performs M-FSK demodulation on a frame structure including a Preamble frame, a SYNC frame and a Data frame, specifically including:
- the Autocorrelation time-frequency synchronization technology is used to perform SNR detection and time-frequency synchronization of the Preamble frame; if the Preamble frame is a non-repetitive sequence, then The time-frequency synchronization technology of cross-correlation sliding FFT is used to perform SNR detection and time-frequency synchronization of the Preamble frame;
- the present application provides a method for M-FSK energy detection and SNR measurement, so that the receiver can obtain the corresponding reception situation more accurately.
- the energy calculation can use data symbols or Preamble sequence symbols, and the peak energy in the frequency domain is the energy of the useful signal. If the data symbol is used, the energy of the useful signal is the energy of the maximum energy value in the frequency domain If the Preamble sequence symbol is used, it is the energy of the maximum energy value in the frequency domain at the synchronization time.
- the signal energy and noise size can be obtained respectively through the measurement technology of signal-to-noise separation in the frequency domain based on M-FSK or M-FSK modulation sequence, and then the size of the signal-to-noise ratio can be calculated, specifically including:
- the synchronization time point, the frequency domain peak or the energy near the peak of the de-sequenced information is the signal energy, and the signal energy is the noise energy, and the SNR is obtained according to the signal energy and the noise energy;
- the total energy of the peak or the points near the peak in the frequency domain is the signal energy
- the external frequency points of the signal energy are the noise energy
- the SNR is obtained according to the signal energy and the noise energy.
- the third embodiment of the present application provides a method for realizing signal reception based on the M-FSK multi-antenna combining technology, including the multi-antenna combining technology based on the frequency domain peak value as the correlation combining coefficient and/or the non-repetitive sequence-based synchronous multi-antenna combining technology, so that the The receiver obtains energy and diversity gain.
- the multi-antenna combining technology adopts the maximum ratio combining method or the coherent combining method, which can be performed in the time domain or in the frequency domain.
- a special pilot symbol is needed to estimate the corresponding antenna weight.
- the present invention does not need any pilot, and only the data symbols of M-FSK can be used for combining data symbols of different antennas.
- the antenna combining coefficients can be obtained from the pilot sequence.
- the data symbol demodulation combining is based on the multi-antenna combining technology in which the frequency domain peak value is used as the correlation combining coefficient, and the sampling coherent or non-coherent combining method is based on combining each M-FSK symbol, and the combining weight of each antenna is After the M-FSK symbol is transformed to the frequency domain, the energy corresponding to the maximum value of all frequency points or only the maximum value on the modulation frequency point is retained; based on the non-repetitive sequence synchronous multi-antenna combining technology, sampling coherent or non-coherent combining method, each antenna The combined weights pass through the value corresponding to the maximum energy in the frequency domain of the M-FSK symbol.
- obtaining the antenna combining coefficient specifically includes the following sub-steps:
- the data symbol demodulation and combination are based on the combination of each M-FSK symbol, and the combination weight of each antenna is the value corresponding to the maximum energy of all frequency points after the M-FSK symbol is transformed into the frequency domain, or only the maximum value on the modulation frequency point is retained.
- the value a i e -j ⁇ or based on the maximum value a i e -j ⁇ obtained after only retaining the modulation frequency point after filtering; based on the non-repetitive sequence synchronous multi-antenna combining technology, the combining weight of each antenna is the frequency at each time instant.
- the value a i e -j ⁇ corresponding to the maximum energy on the domain;
- the compensation value is to remove the energy Ni of all other points except the maximum position and the three nearby points (it can also be calculated as the energy within 30KHz), and Ni represents the energy of the i -th point;
- the resulting antenna combining factor If the interference is inconsistent when receiving multiple antennas at the front end, the energy of the combining coefficient needs to be normalized, and ⁇ i is calculated according to the SNR. The larger the SNR, the greater the combining coefficient.
- the following formula is used to perform incoherent combining:
- the present application is based on the M-FSK multi-antenna combining technology, and the multi-antenna combining gain can be obtained without additional pilot frequency by adopting the coherent or non-coherent combining method.
- Embodiment 4 of the present application provides a receiver based on M-FSK modulation, where the receiver performs the methods of Embodiments 1 to 3.
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Abstract
Description
Preamble(M-FSK) | SYNC(M-FSK) | Data(M-FSK) |
Claims (13)
- 一种基于M-FSK调制的接收方法,其特征在于,对包括Preamble帧、SYNC帧和Data帧的帧结构进行M-FSK解调,具体包括:解调Preamble帧:若Preamble帧为重复序列且每个符号采用M-FSK调制,则采用自相关的时频同步技术进行Preamble帧的M-FSK解调;若Preamble帧为非重复序列,则采用互相关滑动FFT的时频同步技术进行Preamble帧的M-FSK解调;解调SYNC帧和/或Data帧:采用自适应可扩展FFT的M-FSK数据解调技术进行SYNC帧和Data帧的M-FSK解调。
- 如权利要求1所述的基于M-FSK调制的接收方法,其特征在于,若Preamble帧为重复序列且每个符号采用M-FSK调制,前后Preamble帧序列自相关得到新序列,满足门限基础上,同步点为自相关峰值点所对应的前导同步点,当自相关值最大时即代表接收到完整的Preamble序列。
- 如权利要求2所述的基于M-FSK调制的接收方法,其特征在于,根据相关值幅度最大值自相关值、时延符号数zz以及M-FSK符号时长T计算得到的频偏估计为:CFO=phase(Corr(K max))/(2π*(T*zz)),其中phase代表求取相位,根据复数的实虚计算相位,Corr(k)为前后Preamble帧序列自相关得到的新序列。
- 如权利要求1所述的基于M-FSK调制的接收方法,其特征在于,非重复序列包括基于M-FSK序列调制的非重复序列,也适合其他序列或其他调制方式,支持用CAZAC序列和ZadoffChu序列。
- 如权利要求1或4所述的基于M-FSK调制的接收方法,其特征在于,互相关滑动FFT的时频同步技术,具体为基于接收M-FSK调制序列与本地序列滑动FFT方法,可扩展本地序列用于同样采样率接收信号作共轭点乘,达到去序列信息功能;变换到频域求取最大值和频域位置信息,得到此刻的相关峰值和用于频偏估计的值,比较不同时刻的峰值,峰值最大值,且大于一定门限即为前导的时间同步点,根据同步时刻频点位置与直流频点间隔所代表频率大小求取频偏值。
- 如权利要求1所述的基于M-FSK调制的接收方法,其特征在于,自适应可扩展FFT的M-FSK数据解调技术,具体为根据频点间隔SCS/符号时长/调制频点数解调可扩展Advanced M-FSK发送符号,自适应解调基于M-FSK调制的数据解调。
- 如权利要求1所述的基于M-FSK调制的接收方法,其特征在于,基于频域峰值作为相 关合并系数的多天线合并技术,数据符号解调合并是基于每个M-FSK符号的合并,其每根天线合并权值为M-FSK符号变换到频域后能量所有频点最大所对应的值或仅保留调制频点上最大值。
- 如权利要求1所述的基于M-FSK调制的接收方法,其特征在于,基于非重复序列同步多天线合并技术,其每根天线合并权值通过M-FSK符号的频域上能量最大所对应值。
- 一种基于M-FSK调制的接收方法,其特征在于,对包括Preamble帧、SYNC帧和Data帧的帧结构进行M-FSK解调,具体包括:解调Preamble帧:若Preamble帧为重复序列且每个符号采用M-FSK调制,则采用自相关的时频同步技术进行Preamble帧的SNR检测与时频同步;若Preamble帧为非重复序列,则采用互相关滑动FFT的时频同步技术进行Preamble帧的SNR检测与时频同步;解调SYNC帧和/或Data帧:采用自适应可扩展FFT的M-FSK数据解调技术获得最大似然检测性能。
- 如权利要求9所述的基于M-FSK调制的接收方法,其特征在于,基于频域峰值作为相关合并系数的多天线合并技术,数据符号解调合并是基于每个M-FSK符号的合并,其每根天线合并权值为M-FSK符号变换到频域后能量所有频点最大所对应的值或仅保留调制频点上最大值。
- 如权利要求9所述的基于M-FSK调制的接收方法,其特征在于,基于非重复序列同步多天线合并技术,其每根天线合并权值通过M-FSK符号的频域上能量最大所对应值。
- 如权利要求9所述的基于M-FSK调制的接收方法,其特征在于,SNR检测与时频同步,具体包括:①基于非重复前导序列,同步时刻点,去序列信息的频域峰值或峰值附近的能量即为信号能量,信号能量外为噪声能量,根据信号能量与噪声能量求得SNR;②基于M-FSK数据符号,变换到频域后,频域峰值或峰值附近的点总能量即为信号能量,信号能量外频点为噪声能量,根据信号能量与噪声能量求得SNR。
- 一种基于M-FSK调制的接收机,其特征在于,包括:所述接收机执行如权利要求1-12任一项所述的于M-FSK调制的接收方法。
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