CN110198177A - A kind of multi-sequence joint frequency-hopping communication method of combination pseudorandom feature code - Google Patents

A kind of multi-sequence joint frequency-hopping communication method of combination pseudorandom feature code Download PDF

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CN110198177A
CN110198177A CN201910374886.9A CN201910374886A CN110198177A CN 110198177 A CN110198177 A CN 110198177A CN 201910374886 A CN201910374886 A CN 201910374886A CN 110198177 A CN110198177 A CN 110198177A
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frequency
feature
signal
hopping
pseudorandom
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CN110198177B (en
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全厚德
孙慧贤
王耀北
黄欣鑫
崔佩璋
李召瑞
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Army Engineering University of PLA
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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04BTRANSMISSION
    • H04B1/00Details of transmission systems, not covered by a single one of groups H04B3/00 - H04B13/00; Details of transmission systems not characterised by the medium used for transmission
    • H04B1/69Spread spectrum techniques
    • H04B1/713Spread spectrum techniques using frequency hopping
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04BTRANSMISSION
    • H04B1/00Details of transmission systems, not covered by a single one of groups H04B3/00 - H04B13/00; Details of transmission systems not characterised by the medium used for transmission
    • H04B1/69Spread spectrum techniques
    • H04B1/713Spread spectrum techniques using frequency hopping
    • H04B1/715Interference-related aspects

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  • Computer Networks & Wireless Communication (AREA)
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  • Mobile Radio Communication Systems (AREA)

Abstract

The present invention relates to a kind of multi-sequence joint frequency-hopping communication methods of combination pseudorandom feature code, on the basis of multi-sequence joint frequency hopping, on the carrier wave that pseudorandom feature code is modulated to frequency hopping by way of with interior spread spectrum, increase the characteristic information in addition to carrier frequency for data channel, as the mark for distinguishing signal source.Receiver is made decisions using the correlation between known pseudo-random condition code and transmitting signal, reduces the error code that interference signal appears in the antithesis channel of multisequencing frequency hopping and causes.The present invention further improves the anti-interference ability of multi-sequence joint frequency hopping communications.

Description

A kind of multi-sequence joint frequency-hopping communication method of combination pseudorandom feature code
Technical field
The present invention relates to a kind of anti-interference frequency-hopping communication methods, more particularly to a kind of more sequences of combination pseudorandom feature code Contigency closes frequency-hopping communication method.
Background technique
Frequency hopping communications refers to the communication mode that the carrier wave of transmission signal jumps in transmission band according to pseudorandom rule, receives The carrier frequency that hair both sides transmit signal changes according to scheduled frequency hop sequences pseudorandom.Since disturber does not know current frequency hopping The frequency that communication system uses, therefore frequency-hopping communication system cannot effectively be interfered.Frequency hopping communications has good anti- Interference and ability of anti-interception, detection probability is low and can inhibit frequency selective fading, in military communication especially shortwave/ultrashort wave It is widely used in tactical communication.
With the development of perturbation technique, tracking interference becomes the biggest threat that frequency hopping communications faces, and tracking interference can be The currently used frequency of frequency-hopping system is captured in short time and is interfered, and is substantially cut down frequency hopping communications and is produced by hiding interference Raw Frequency Hopping Processing Gain.With the development of tracking perturbation technique, tracking interference is several to the frequency hopping pattern intercept probability under certain hop rate Reach 100%, frequency hopping communications is made to lose anti-jamming gain.
In recent years, the Anti-Jamming Technique of frequency-hopping communication system has also obtained certain development.It can be under conventional frequency-hopping mode Error code is reduced by modes such as channel coding, airspace interference eliminations, as the indemnifying measure after tracked interference effect.In addition to mending Measure is repaid, the unconventional frequency-hopping mode confrontation tracking interference such as differential jumping frequency is had also appeared.Studying at present more is to utilize more sequences Column frequency-hopping method indicates message using channel, and data channel and antithesis channel are pressed different frequency hop sequences jumps respectively, received End is made decisions by detecting the energy of respective channels frequency point.Due to the signal that antithesis channel is not sent actually, tracking interference Antithesis channel can not be captured and effectively interfered, the influence of tracking interference is reduced.This anti-tracking interference of frequency-hopping method Effect is relatively good, however when interference signal collides antithesis channel, occur biggish energy on antithesis channel, the bit error rate is substantially It is promoted.
Summary of the invention
The object of the present invention is to provide a kind of multi-sequence joint frequency-hopping communication methods of combination pseudorandom feature code, reduce more Sequence hopping due to antithesis channel is disturbed caused by error code.
The present invention adopts the following technical scheme:
A kind of multi-sequence joint frequency-hopping communication method of combination pseudorandom feature code encodes pseudorandom feature as differentiation The mark in signal source, by the carrier wave of pseudorandom feature coded modulation to frequency hopping by way of with interior spread spectrum, for hair The number of delivering letters and demodulated signal increase feature.
Wherein, the pseudorandom feature code be data channel increased the other feature information in addition to carrier frequency but with User data is unrelated.
Specifically comprising signal emission process and signal receive process;
The signal emission process includes the following steps:
(1) error control coding is carried out to binary user data d (t) using channel coding and obtains sequence d to be sentc (t);
(2) by sequence d to be sentc(t) N binary signal d is converted ton(t);
(3) in sequence mapping channel, N binary signal dn(t) transmitting which frequency hop sequences of signal behavior, the sequence pair are determined The frequency answered is after frequency synthesizer synthesizes, as frequency-hopping carrier;
(4) in feature modulation channels, 2PSK modulation is carried out to the pseudorandom feature code c (t) as characteristic information, is generated special Reference number;The generation clock of pseudorandom feature code is consistent with frequency-hopping system synchronised clock, in the synchronous case, modulates on carrier wave Pseudorandom feature code be known to receiving end;
(5) frequency-hopping carrier that the characteristic signal of feature modulation module output is synthesized with sequence mapping channel is mixed, complete After frequency spectrum shift, it is sent to radio-frequency front-end;
(6) after radio-frequency front-end completes bandpass filtering and power amplification, emitted by transmitting terminal antenna;
The signal receive process include the following steps:
(A) radiofrequency signal received from antenna is carried out low noise amplification, bandpass filtering, gain control by receiving end radio-frequency front-end After system, it is sent to N number of receiving branch;
(B) N number of receiving branch concurrent working, corresponding N number of orthogonal frequency hop sequences;
For some receiving branch, the local frequency hop sequences that receiving end generates are synchronous with transmitting terminal holding, and receiving end is raw It is synchronized at utilizing frequency hopping clock information to realize when pseudorandom feature code;
For each receiving branch, completes the intermediate-freuqncy signal that solution is jumped and be sent to energy detection module after feature demodulates Carry out the detection of square law incoherent energy;
(C) it in each feature demodulation channel, is jumped with the pseudorandom feature code c (t) synchronous with transmitting terminal to solution is completed Intermediate-freuqncy signal carry out feature demodulation, after demodulation carry out narrow-band filtering filtering interference signals;
(D) in each energy detection module, the signal after feature demodulation passes through narrow-band filtering, carries out the non-phase of square law Dry detection, obtains N number of testing result, is sent to judging module and makes decisions;
(E) in judgement, the energy detection results of N number of receiving branch are made decisions;
(F) by N binary signal dn(t) it is converted to binary system and receives signal sequence dc(t)。
(G) to dc(t) channel decoding is carried out.
Wherein, in step (1), the channel coding method is convolutional code, Turbo code or RS code.
Wherein, in step (4), the pseudorandom feature code c (t) is using pseudo-random sequences such as m-sequences, and bit rate is lower than jump Frequent point bandwidth, when use, are converted to bipolar code.
Wherein, in step (E), decision method is using hard decision or interpretation method is combined to carry out soft-decision.
Wherein, in step (E), the hard-decision method is, to N number of receiving branch, each receiving branch passes through square law Noncoherent detection result is Ri, (i=1 ..., NS);If testing result maximum value Rmax=max { R1,R2,...,RN}=Ri, Ri Corresponding subchannel i is data channel.
Wherein, if the channel coding method in step (1) is convolutional code, step (G) selects Viterbi decoding.
The beneficial effects of the present invention are:
(1) it is worked together using multiple frequency hop sequences, user data is mapped as frequency hop sequences serial number, is finally presented as hair The carrier frequency for penetrating signal indicates message using channel.
(2) with conventional frequency hopping communications the difference is that, utilize channel to indicate user data;It is different from multisequencing frequency hopping it It is in having modulated the pseudorandom feature code unrelated with user data on carrier wave, which is that data channel is increased except carrier wave Other feature information except frequency.
(3) during feature demodulates, receiver is reduced and special using the correlation of transmitting signal and feature demodulated signal The sign incoherent interference signal of demodulated signal is influenced caused by judgement, it is possible to reduce interference signal appears in multisequencing frequency hopping Antithesis channel and the error code caused.
(4) bit rate of pseudorandom feature code is lower than the bandwidth of frequency hopping frequency point, and receiving end can still use narrow-band reception, Out-of-band interference will not be introduced because of modulation broadened signal frequency spectrum.
(5) multiple frequency hop sequences associated working change the condition that tracking interference works, and believe for multisequencing frequency hopping antithesis Road, which is interfered, can just play positive effect;The variation of the difference on the frequency pseudorandom of antithesis channel and data channel, has reached antithesis The purpose that channel is hidden under tracking interference reduces the disturbed probability of antithesis channel.
(6) on the frequency point of data channel, pseudorandom feature code is that data channel increases other spies in addition to frequency Sign increases for receiver and distinguishes the ability for receiving signal energy source, reduces when there are hairs when interference signal for antithesis channel The probability of raw error code, further improves the anti-interference ability of multi-sequence joint frequency hopping.
Detailed description of the invention
Fig. 1 is the multi-sequence joint frequency-hopping system transmitter architecture block diagram in conjunction with pseudorandom feature code;
Fig. 2 is the multi-sequence joint frequency-hopping system receiver block diagram in conjunction with pseudorandom feature code;
Fig. 3 is the multi-sequence joint Hopping frequencies selection course schematic diagram in conjunction with pseudorandom feature code;
Fig. 4 is the multi-sequence joint frequency-hopping characteristics demodulating process schematic diagram in conjunction with pseudorandom feature code;
Fig. 5 is the multi-sequence joint frequency hopping judging process schematic diagram in conjunction with pseudorandom feature code;
Fig. 6 is tracking interference ρrTo PRC-MSFH and FH/2FSK Control of Bit Error Rate figure (ρw=1/16, β=1);
Fig. 7 Multi-tone jamming Q is to PRC-MSFH and MSFH Control of Bit Error Rate figure.
Specific embodiment
With reference to the accompanying drawing and technical solution of the present invention is described in further detail in example, but protection scope of the present invention is not It is confined to as described below.
Embodiment
A kind of multi-sequence joint frequency-hopping communication method of combination pseudorandom feature code, user data by channel coding and into After system conversion, user data is characterized with frequency hop sequences serial number, through frequency synthesizer as frequency hopping after corresponding frequency hop sequences output Carrier wave.Characteristic information of the pseudorandom feature code sequence as data channel becomes characteristic signal, last feature letter after ovennodulation It number is modulated on frequency-hopping carrier, is emitted by radio-frequency front-end by antenna.In receiving end, sent by the signal that radio-frequency front-end receives To N number of receiving branch, each receiving branch carries out frequency-hopping synchronization to signal is received using local frequency hop sequences, completes frequency hopping solution It adjusts.Then feature demodulation is carried out to signal, the signal after feature demodulation carries out square law incoherent energy after narrow-band filtering The energy detection results of receiving branch are compared judgement by detection, are determined data channel, are carried out channel after system conversion and translate Code, recovery obtain user data.
More specifically, it includes a signal step of transmitting and a signal receiving step.Assuming that sharing N number of frequency hopping Sequence association work.
As shown in Figure 1, Figure 3, signal transmitting includes the following steps:
(1) information source (101) provides user data, and it is poor that channel coding module (102) carries out user data using convolutional code Encoded data are converted to N binary signal in system conversion module (103) by mistake control coding.Mould is selected in frequency hop sequences Block (104), N binary signal select the frequency hop sequences of corresponding serial number from frequency hop sequences collection (105), and the sequence current time is corresponding Frequency point as carrier signal, is modulated in frequency hopping modulation module (109) with characteristic signal after frequency synthesis (106).
It is illustrated in figure 3 the frequency hop sequences selection course of sequence mapping channel, N binary signal, that is, sequence selection information, Sequence selection module (302) corresponding frequency hop sequences of selection from frequency hop sequences collection (301) take out current time corresponding frequency point, It is sent to frequency synthesizer and generates frequency-hopping carrier.
(2) in feature modulation channels, the baseband modulation of pseudorandom feature code is completed.Generate bipolarity pseudorandom feature code c (t) characteristic information of (107) as data channel modulates the base for completing condition code in feature modulation module (108) by 2PSK Band modulation, the bit rate of pseudorandom feature code c (t) are higher than frequency hopping rate and are lower than frequency hopping frequency point bandwidth.
(3) characteristic signal that feature modulation module (108) generates is produced in frequency hopping modulation module (109) and sequence mapping channel Raw frequency-hopping carrier is mixed, is filtered.
(4) signal after frequency hopping modulation passes through hair after radio-frequency front-end (110) carry out bandpass filtering and power amplification Penetrate end antenna (111) transmitting.
By taking N=2 as an example, it is assumed that frequency hop time slot length is T, symbol energy ES, hop bands total bandwidth is W, then sends The equivalent expression of signal are as follows:
Signal transmits in awgn channel, then receiving signal can be equivalently represented are as follows:
R (t)=e's(t)+n(t)+nJ(t) (2);
Wherein n (t) is additive white Gaussian noise, and one-sided power spectrum density is N0, nJIt (t) is interference signal, θ ' is transmission Phase difference in the process.Noise is zero mean Gaussian white noise, and note equivalent symbol signal-to-noise ratio is γ=ES/N0
So far, step of transmitting is completed.
As shown in Fig. 2,4,5, signal reception includes the following steps:
(5) radiofrequency signal that receiving end front end (202) will be obtained from receiving antenna (201) carries out low noise amplification, band logical filter N number of receiving branch is sent to after wave, gain control.
(6) the N number of receiving branch concurrent working in receiving end, function is identical, by taking receiving branch 1 as an example, frequency hopping demodulation module 1 (205) it completes to synchronize using self-synchronizing method first, completes synchronous local frequency hop sequences 1 (203) and send frequency information to frequency Synthesis module (204) generates corresponding frequency hopping demodulated signal, completes mixing, filtering in frequency hopping demodulation module 1 (205), will receive Signal is moved from frequency-hopping carrier to intermediate frequency, and feature demodulation module 1 (209) is eventually sent to.Utilize the synchronous puppet of frequency hopping clock information Random character code (211) generates feature demodulated signal by feature modulation module (210), complete in feature demodulation module 1 (209) The demodulation of characteristic information in pair signals.
(7) in each feature demodulation channel, characteristic solution is generated with the pseudorandom feature code sequence synchronous with transmitting terminal Signal is adjusted, the intermediate-freuqncy signal after jumping to solution carries out feature demodulation, distinguishes the interference signal different from feature demodulation signal characteristic.
As shown in figure 4, the synchronizing information using frequency-hopping synchronization clock (401) is completed to the same of pseudorandom feature code (402) Step, is modulated to feature demodulated signal by 2PSK for condition code in feature modulation module (403), with process narrow-band filtering (404) Intermediate-freuqncy signal be mixed and demodulated.It is the signal for completing feature demodulation that signal after demodulation, which passes through narrow-band filtering (405),.
By taking N=2 as an example, receiving end use and transmitting terminal frequency hop sequences FS0And FS1Synchronous frequency hop sequences FS0' and FS1', The method of synchronization uses self-synchronizing method, divides two-way control frequency synthesizer to generate solution and jumps signal.Pseudorandom feature code utilizes frequency hopping system Clock information of uniting is synchronous with transmitting terminal pseudorandom feature code holding, and pseudorandom feature code c (t) is modulated to solution by 2PSK and jumps letter On number.Incoherent energy detection, judgement amount r are carried out to two channels respectively to signal after intermediate frequency narrow-band filtering0And r1It indicates The energy detection results of two sub-channels of user data " 0 " and " 1 " are represented, judgement amount r is detectediIt may be expressed as:
Si* (t) is to send signal Si(t) conjugation is the equivalent of demodulating process:
(8) as shown in figure 5, in each energy measuring channel, by taking energy measuring channel 1 as an example, after feature demodulation Signal carries out square law noncoherent detection (502) after narrow-band filtering (501), finally by N number of energy measuring Air conduct measurement institute It obtains judgement amount feeding decision device (507) to carry out selecting big hard decision, when energy measuring channel i exports maximum, judgement channel i is Data channel, it is corresponding with the N binary signal after error control coding and system conversion.
(9) obtained N binary signal is adjudicated, first the number of users after system conversion (214) is reduced to error control coding According to, then channel decoding (215) are carried out, the convolutional encoding that front is selected, therefore decoded here using Viterbi, it is reduced to user Data.
So far, receiving step is completed.
Effect example
Fig. 6 illustrates tracking interference time ratio ρr(hereinafter referred to as to (hereinafter referred to as PRC-MSFH) of the invention and conventional frequency hopping FH/2FSK the influence of the bit error rate), at this time jamming bandwidth ratio ρw=1/16, track success rate β=1.The bit error rate of the two is all With interference time ratio ρrIncrease and increase.In identical interference time ratio ρrUnder, the bit error rate of PRC-MSFH is generally lower than FH/2FSK.Under medium signal interference ratio, PRC-MSFH compares FH/2FSK, and there are about the gains of 3-5dB.
Fig. 7 is illustrated interferes single-tone number Q to the shadow of PRC-MSFH and MSFH (multisequencing frequency hopping) bit error rate under Multi-tone jamming It rings.Multi-tone jamming can cause MSFH significantly to influence, and compared with MSFH, PRC-MSFH has about 6-7dB under medium signal interference ratio Gain, anti-jamming effectiveness is obvious.The reason is that the pseudorandom feature code being added increases the spy other than frequency to signal is sent Sign reduces signal and interferes the correlation between single-tone.In demodulating process, to data channel, pseudorandom feature code is by making Interference single-tone constantly changes with the phase difference for sending signal, reduces influence of the interference single-tone to signal;To antithesis channel, receive Interference single-tone is only deposited at end, and pseudorandom feature code, which passes through, changes the phase for interfering single-tone constantly, reduces interference single-tone to judgement The influence of amount.Condition code coding rate is lower than hop bands width, and the single frequency hopping frequency point of receiver still narrow-band reception will not introduce Out-of-band interference, therefore anti-jamming effectiveness is good.
Similar with MSFH, under certain signal interference ratio, there are optimum jamming single-tone number Q by PRC-MSFHoptReach the bit error rate most Greatly, i.e., the worst Multi-tone jamming, as shown in fig. 7, signal interference ratio is bigger, QoptIt is smaller.When jamming power is smaller, disturber will be concentrated Power realizes effectively interference when hitting data channel and antithesis channel on a small number of single-tones;When jamming power is larger, interference Side will interfere more frequency points, hit data channel and antithesis channel with higher probability.
Embodiment described above only describe the preferred embodiments of the invention, and but it is not limited to this, this The technical staff in field is easy to understand spirit of the invention according to above-described embodiment, and makes different amplification and variation, but As long as it does not depart from the spirit of the invention, all within protection scope of the present invention.

Claims (9)

1. a kind of multi-sequence joint frequency-hopping communication method of combination pseudorandom feature code, which is characterized in that jumped in multi-sequence joint It is data channel on pseudorandom feature code is modulated to frequency hopping by way of with interior spread spectrum carrier wave on the basis of frequency Increase the characteristic information in addition to carrier frequency, as the mark for distinguishing signal source;Receiver utilizes known pseudo-random feature Correlation between code and transmitting signal makes decisions.
2. a kind of multi-sequence joint frequency-hopping communication method of combination pseudorandom feature code according to claim 1, feature It is comprising signal emission process and signal receive process;
The signal emission process includes the following steps:
Error control coding is carried out to binary user data d (t) using channel coding and obtains sequence d to be sentc(t);
By sequence d to be sentc(t) N binary signal d is converted ton(t);
(3) in sequence mapping channel, N binary signal dn(t) transmitting which frequency hop sequences of signal behavior determined, the sequence is corresponding Frequency is after frequency synthesizer synthesizes, as frequency-hopping carrier;
(4) in feature modulation channels, 2PSK modulation is carried out to the pseudorandom feature code c (t) as characteristic information, generates feature letter Number;
(5) frequency-hopping carrier that the characteristic signal of feature modulation module output is synthesized with sequence mapping channel is mixed, and completes frequency After spectrum is moved, it is sent to radio-frequency front-end;
(6) after radio-frequency front-end completes bandpass filtering and power amplification, emitted by transmitting terminal antenna;
The signal receive process include the following steps:
(A) radiofrequency signal received from antenna is carried out low noise amplification, bandpass filtering, gain control by receiving end radio-frequency front-end Afterwards, it is sent to N number of receiving branch;
(B) N number of receiving branch concurrent working, corresponding N number of orthogonal frequency hop sequences;
For some receiving branch, the local frequency hop sequences that receiving end generates are synchronous with transmitting terminal holding, and receiving end generates pseudo- It is realized and is synchronized using frequency hopping clock information when random character code;
For each receiving branch, completes the intermediate-freuqncy signal that solution is jumped and be sent to energy detection module progress after feature demodulates The detection of square law incoherent energy;
(C) in each feature demodulation channel, with the pseudorandom feature code c (t) synchronous with transmitting terminal in completion solution jump Frequency signal carries out feature demodulation, and narrow-band filtering filtering interference signals are carried out after demodulation;
(D) in each energy detection module, the signal after feature demodulation passes through narrow-band filtering, carries out the incoherent inspection of square law It surveys, obtains N number of testing result, be sent to judging module and make decisions;
(E) in judgement, the energy detection results of N number of receiving branch are made decisions;
(F) by N binary signal dn(t) it is converted to binary system and receives signal sequence dc(t)。
3. (G) is to dc(t) channel decoding is carried out.
4. a kind of multi-sequence joint frequency-hopping communication method of combination pseudorandom feature code according to claim 2, feature It is, in step (1), the channel coding method is convolutional code, Turbo code or RS code.
5. a kind of multi-sequence joint frequency-hopping communication method of combination pseudorandom feature code according to claim 2, feature It is, in step (4), the pseudorandom feature code c (t) is lower than frequency hopping channel band using the pseudo-random sequences such as m-sequence, bit rate Width, when use, are converted to bipolar code.
6. a kind of multi-sequence joint frequency-hopping communication method of combination pseudorandom feature code according to claim 2, feature It is, in step (E), decision method is using hard decision or interpretation method is combined to carry out soft-decision.
7. a kind of multi-sequence joint frequency-hopping communication method of combination pseudorandom feature code according to claim 5, feature It is, in step (E), the hard-decision method is, to N number of receiving branch, each receiving branch passes through the incoherent inspection of square law Survey result is Ri, (i=1 ..., NS);If testing result maximum value Rmax=max { R1,R2,...,RN}=Ri, RiCorresponding son Channel i is data channel.
8. a kind of multi-sequence joint frequency-hopping communication method of combination pseudorandom feature code according to claim 1, feature It is, the generation clock of pseudorandom feature code is consistent with frequency-hopping system synchronised clock.
9. a kind of multi-sequence joint frequency-hopping communication method of combination pseudorandom feature code according to claim 1, feature Be: the bit rate of pseudorandom feature code is lower than the bandwidth of frequency hopping frequency point, and narrow-band reception can be used in receiving end.
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CN111211808A (en) * 2019-12-31 2020-05-29 四川大学 Signal processing method and device under resource limitation and terminal equipment
CN111404579A (en) * 2020-02-17 2020-07-10 济南浪潮高新科技投资发展有限公司 Multi-sequence frequency hopping communication method, transmitter and receiver
CN113708797A (en) * 2021-08-10 2021-11-26 中国科学院计算技术研究所 Frequency hopping synchronization method and device for 5G NR
CN114024569A (en) * 2021-11-03 2022-02-08 中国人民解放军63921部队 Dual sequence frequency hopping communication system and method for integrating space flight measurement and control and data transmission
CN114024569B (en) * 2021-11-03 2023-04-07 中国人民解放军63921部队 Dual sequence frequency hopping communication system and method for integrating space flight measurement and control and data transmission
CN114337731A (en) * 2021-11-30 2022-04-12 中国科学院半导体研究所 Optical frequency hopping communication system and method
CN115549725A (en) * 2022-10-10 2022-12-30 瑞兴恒方网络(深圳)有限公司 Narrow-band frequency hopping multi-access communication algorithm and ARM implementation
CN115549725B (en) * 2022-10-10 2023-07-18 瑞兴恒方网络(深圳)有限公司 Communication algorithm for narrowband frequency hopping multi-channel access and ARM implementation

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