CN106506422A - A kind of non-coherent demodulation method of 6PSK modulated spread spectrum signals - Google Patents
A kind of non-coherent demodulation method of 6PSK modulated spread spectrum signals Download PDFInfo
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- CN106506422A CN106506422A CN201611059414.7A CN201611059414A CN106506422A CN 106506422 A CN106506422 A CN 106506422A CN 201611059414 A CN201611059414 A CN 201611059414A CN 106506422 A CN106506422 A CN 106506422A
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L27/00—Modulated-carrier systems
- H04L27/18—Phase-modulated carrier systems, i.e. using phase-shift keying
- H04L27/22—Demodulator circuits; Receiver circuits
- H04L27/233—Demodulator circuits; Receiver circuits using non-coherent demodulation
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04B—TRANSMISSION
- H04B1/00—Details 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
- H04B1/69—Spread spectrum techniques
- H04B1/707—Spread spectrum techniques using direct sequence modulation
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04B—TRANSMISSION
- H04B1/00—Details 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
- H04B1/69—Spread spectrum techniques
- H04B1/707—Spread spectrum techniques using direct sequence modulation
- H04B1/709—Correlator structure
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Abstract
The invention provides a kind of non-coherent demodulation method of 6PSK modulated spread spectrum signals.6PSK modulated signals are converted to two-way digital orthogonal baseband signal by the method, form real part and the imaginary part of 6PSK complex base band signals, and 18 6PSK complex base band signals constitute 1 spread spectrum vector sequence, and 1 spread spectrum vector sequence represents 4 digital bit information；The correlator matrix that spread spectrum vector sequence input is made up of 16 correlators, carries out related operation with spread spectrum vector sequence into the local vector sequence of conjugate relation with 16, exports the maximum correlator label of correlation function amplitude；According to correlator label and the mapping relations of spread spectrum vector sequence, the digital information entrained by 6PSK modulated spread spectrum signals is obtained.The present invention need not recover receiver local carrier-phase, it is allowed to which demodulator local carrier has certain frequency error with signal carrier is received, and be suitable for the reception of burst.
Description
Technical field
The present invention relates to communication technique field, more particularly to a kind of non-coherent demodulation method of 6PSK modulated spread spectrum signals.
Background technology
6PSK modulated spread spectrum signals are a kind of signal transmission forms of satellite mobile communication, under Low SNR
Transmitting paging information, (formula 1) are its complex signal expression formulas：
In formula (1), h (t) is that the impact of baseband filter is corresponding (its transfer function is square root raised cosine function), akIt is
Modulation symbol.akIt is defined as follows：
Every group of 6PSK modulated spread spectrum signal takes 78 baud durations, and wherein 1-2 bauds and 75-78 bauds are for during protection
Section, 3-74 are the information transfer period.Scheme the planisphere that (1) is 6PSK modulated spread spectrum signals, the label in figure represents modulation condition
(the V in table (1)k), each state can regard a vector as, and table (1) is the corresponding relation of number of state indexes and phase place.
Table 1
V in table (1)kDetermined by formula (3).
S in formula (3)jI the i in () is determined by formula (4)：
In formula (4), TRUNC represents round numbers, and table (2) is the mapping relations of the i and k drawn according to formula (4), from table (2)
Understand, the persistent period of i is 4 bauds.
Table 2
SjIt is by the S in formula (3)jI spread spectrum signal sequence that () constitutes, each sequence have 18 kinds of states (being shown in Table (3)), per
Individual SjSequence pair answers 4 information coded-bits (being shown in Table (4)).
Table 3
| Coding information | Spread spectrum signal sequence Sj |
| 0000 | S0 |
| 0001 | S1 |
| 0010 | S2 |
| 0011 | S3 |
| 0100 | S4 |
| 0101 | S5 |
| 0110 | S6 |
| 0111 | S7 |
| 1000 | S8 |
| 1001 | S9 |
| 1010 | S10 |
| 1011 | S11 |
| 1100 | S12 |
| 1101 | S13 |
| 1110 | S14 |
| 1111 | S15 |
Table 4
In sum：Every group of 6PSK modulated spread spectrum signal transmits 4 information bits, and 4 information bits constitute a spread spectrum
SjSequence；Each spread spectrum SjSequence includes 18 kinds of states, and every kind of state takes 4 baud durations, a phase of corresponding 6PSK modulation
Position；If every kind of state is regarded as a vector, each spread spectrum SjSequence is 18 vector sums (see formula (5)).
Formula (6) is the real signal expression formula of 6PSK signals.In formula (6), A (t) is signal amplitude function, filters depending on base band
Transfer function h (t) of ripple device；ωi=2 π fiIt is the angular frequency of signal carrier；θ (k) is the instantaneous phase of signal, by modulation symbol
akDetermine, change by 6PSK modulation systems, period of change is 4 bauds.
S (t)=A (t) cos [ωiT+ θ (k)] (formula 6)
Table (5) is the frame structure of 6PSK spread spectrum signal transmittings.In table, frame number is 0-63, and go round and begin again circulation；When relative
Gap numbering is the numbering of a certain section of time slot in 24 time slots of every frame；FCCH frames are used for receiving unit frequency and clock synchronization；6PSK
Frame is used for transmitting 6PSK modulated spread spectrum signals.39 bauds of each time slot frame length, baud rate is 23.4KB/s.Each 6PSK frame is accounted for
With 2 time slots, 78 bauds, in order to send a SjSequence (represents 4 bit informations).
Table 5
Content of the invention
For solving the problems, such as that the demodulation of above-mentioned 6PSK modulated spread spectrum signals, the present invention provide a kind of 6PSK modulated spread spectrum signals
Non-coherent demodulation method, including：
Down coversion, sampling, cumulative, baseband filtering is carried out to 6PSK modulated spread spectrum signals, forms digital orthogonal baseband signal；
Digital orthogonal baseband signal constitutes 6PSK complex base band signals, constitutes a spread spectrum vector sequence per 18 complex base band signals
Row；
Each spread spectrum vector sequence and 16 local vector sequences carry out related operation, calculate 16 correlation function amplitudes
Absolute value；
16 correlation function amplitude absolute values are made decisions, output produces the correlator label of amplitude peak；
According to correlator label and the mapping relations of spread spectrum vector sequence of amplitude peak, 6PSK modulated spread spectrum signals are obtained
Entrained digital information.
Preferably, in a kind of non-coherent demodulation method of described 6PSK modulated spread spectrum signals, the 6PSK modulation is expanded
Frequency signal is represented by below equation：S (t)=A (t) cos [ωit+θ(k)].Wherein, A (t) is signal amplitude function, by adjusting
Device baseband filter processed determines that its frequency response function is square root raised cosine function；ωiIt is the angular frequency of signal carrier；θ
K () is the instantaneous phase of signal, change by 6PSK modulation systems.
Preferably, in the non-coherent demodulation method of described 6PSK modulated spread spectrum signals, the down coversion is by following public affairs
Formula is represented：
Wherein, ω0Local frequency, nominal value and ω are received for demodulatoriIdentical.S in formulaI(t) and sQ(t) expression formula
Previous item is required down-converted component.
Preferably, in the non-coherent demodulation method of described 6PSK modulated spread spectrum signals, down-conversion signal sample frequency
8 times of signal baud rate, i.e., 1 baud, 8 sampled points；After 4 samplings are cumulative, 1 baud, 2 sampled points are reduced to, 4 samplings are tired
Plus device plays low pass filter.
Preferably, in the non-coherent demodulation method of described 6PSK modulated spread spectrum signals, baseband filter frequency response
Function is square root raised cosine function, and the digital orthogonal baseband signal being generated by it is made up of real part and imaginary part, represented by below equation：
Preferably, in the non-coherent demodulation method of described 6PSK modulated spread spectrum signals, the complex base band signal by
Represented with below equation：
Sj' (n)=I (n)+jQ (n)=B (n) ej(ΔωnΔt+θ(k)).
Preferably, in the non-coherent demodulation method of described 6PSK modulated spread spectrum signals, the real part of complex base band signal,
Imaginary part is input into 144 grades of shift registers in 16 correlators respectively, and 18 tap outputs of shift register constitute spread spectrum arrow
Amount sequence, each tap is at intervals of 8 sampled datas.
Preferably, in the non-coherent demodulation method of described 6PSK modulated spread spectrum signals, used in 16 correlators
16 local vector sequences are with spread spectrum vector sequence into conjugate relation.
Preferably, in the non-coherent demodulation method of described 6PSK modulated spread spectrum signals, on the basis of frame synchronizing signal,
The correlation function range value of each correlator is exported at the input spread spectrum vector sequence and local vector sequence synchronous moment.
Preferably, in the non-coherent demodulation method of described 6PSK modulated spread spectrum signals, draw through 2 grades of amplitude judgements
The correlator label of correlation function amplitude peak is produced, and is adjudicated for wherein the 1st grade and correlation function amplitude is obtained for each correlator
Maximum, the 2nd grade of amplitude adjudicated for obtaining the maximum of the correlation function amplitude of 16 correlators.
Using the non-coherent demodulation method of the 6PSK modulated spread spectrum signals of the present invention, have the advantages that：The present invention
Receiver carrier phase need not be recovered, while allowing demodulator carrier wave to there is certain frequency error with signal carrier is received；
Compare with coherent demodulation mode, signal need not recover the header used by carrier wave, eliminate carrier recovery time, be suitable for burst letter
Number reception；Under Low SNR, still can accurately detect that the peak value of input spread spectrum vector sequence (is arrived see figure (5-A)
Figure (5-E)), so as to accurately realize that data are demodulated；Algorithm is simple, and amount of calculation is little, it is easy to accomplish.
Description of the drawings
Figure (1) is the planisphere of 6PSK modulated spread spectrum signals；
Figure (2) is the theory diagram of the embodiment of the present invention；
Figure (3) is the flow chart of the embodiment of the present invention；
Figure (4) is the correlator matrix principle figure of the embodiment of the present invention；
Figure (5-A), (5-B), (5-C), (5-D), (5-E) be the embodiment of the present invention under the conditions of different signal to noise ratios (SNR),
The correlation function magnitude squared value peak value of correlator Output matrix；Wherein figure (5-A) is that signal to noise ratio is the result under the conditions of 20dB,
Figure (5-B) is that signal to noise ratio is the result under the conditions of 5dB, and it is letter for the result under the conditions of 0dB, figure (5-D) that figure (5-C) is signal to noise ratio
Make an uproar than for the result under the conditions of -5dB, scheme (5-E) be signal to noise ratio be result under the conditions of -10dB；
Figure (6) is the correlation function range signal data decimation schematic block circuit diagram of the embodiment of the present invention；
Figure (7) is the correlation function range signal data decimation circuit timing diagram of the embodiment of the present invention；
Figure (8) is the amplitude decision circuit theory diagram of the embodiment of the present invention.
Specific embodiment
The present invention is described in further detail below in conjunction with the drawings and specific embodiments.Will according to following explanation and right
Ask book, advantages and features of the invention become apparent from.Accompanying drawing in below illustrating is using reduced form and using non-accurate
Ratio, only aids in illustrating the embodiment of the present invention in order to convenience, lucidly.
Figure (2) is the theory diagram of the embodiment of the present invention, schemes the flow chart that (3) are the embodiment of the present invention.The present invention is proposed
A kind of non-coherent demodulation method of 6PSK modulated spread spectrum signals, specifically includes following steps：
Step one：Input signal down coversion.The input signal of the demodulator is 6PSK modulated spread spectrum signals s (t), and which counts
Learn and express as shown in formula (6).S (t) and orthogonal local oscillation signal sin ω0T and cos ω0T multiplication (ω0Nominal value and ωiIt is identical,
There are error delta ω of very little, Δ ω=ω in practical situations bothi-ω0), the quadrature mixing signals s shown in production (7)I(t)、
sQ(t).
In formula (7), sI(t)、sQDown-converted component of the previous item of (t) for needed for；Latter is high fdrequency components, and which will be by
4 sampling accumulators subsequently, baseband matched filter are filtered.
Step 2：Signal sampling.The quadrature mixing signals sI(t)、sQT () is sampled signal fSSampling, output numeral is just
Hand over mixed frequency signal sI’(m)、sQ' (m), fSFor input signal baud rate Ri8 times, i.e., peculiar 8 sampled points of 1 signal wave.
Step 3：Produce digital orthogonal baseband signal.The digital quadrature mixing signal sI' (m) and sQ' (m) tired through 4 samplings
Plus after device, baseband matched filter (transfer function be square root raised cosine function) are processed, output orthogonal baseband signal I (n) and Q
N (), formula (8) are its mathematic(al) representation；The sample rate of digital orthogonal baseband signal is reduced to 1 baud containing 2 sampled points；The orthogonal basiss
Band signal I (n) and Q (n) constitute complex base band signal S of 6PSK signalsj' real part (n) and imaginary part, formula (9) is its mathematical table
Reach formula；In formula, the change of signal amplitude is caused as A/D conversion, cumulative, filtering etc. are processed, but the property of signal does not have
Change.
Sj' (n)=I (n)+jQ (n)=B (n) ej(ΔωnΔt+θ(k))(formula 9)
Step 4：Related operation.Complex base band signal Sj' (n) it is input into the correlator square being made up of 16 correlators
Battle array carries out related operation, exports the square value of 16 correlation function amplitudes, schemes the theory diagram that (3) are correlator matrixes.Plural number
Baseband signal Sj' real part I (n) (n) and imaginary part Q (n) be input into 144 grades of the two tunnel shift register of each correlator respectively, two
18 tap outputs of road shift register constitute received spread spectrum vector sequence Sj' (i) (i=0,2,3 ... 17), each is taken out
Head is at intervals of 8 sampled datas.Sj' (i) sequence and transmitting terminal SjI () sequence is corresponding, simply have rotated Δ ω t in phase place
Radian.If Tk(i) be local vector sequence, i=0,2,3 ... 17, k=0,2,3 ... 15.TkI () sequence is SjI () sequence is total to
Yoke, i.e.,Table (5) is TkI the state table of () sequence, table (6) is TkThe real part of (i) sequence state, imaginary part mapping
Table, table (7) is Tk(i) sequence and the mapping table of correlator label.Receive the spread spectrum vector sequence S of signalj' (i) local with 16
Vector sequence TkI () carries out related operation (see formula (10)), export the square value P of the amplitude of 16 correlation functionsk(see formula
(11)).
Pk=| Rk|2K=0,1,2...., 15 (formula 11)
Due to Sj' (i) sequence be mutually orthogonal directions, when j is not equal to k, correlation function RkAmplitude very little；When j is equal to k,
Correlation function RkAs shown in (formula (12)), its amplitude | Rk| reach peak value.
With the correlation function amplitude square of certain correlator output in correlator matrix in the present invention | Rk|2Reach peak value to sentence
Other receiver have received certain Sj' (i) sequence.Figure (5-A) is correlator matrix under the conditions of signal to noise ratio (SNR) is 20dB
The correlation function amplitude peak square value of output | Rk|2.Figure (5-A), (5-B), (5-C), (5-D), (5-E) are enforcement of the present invention
Example under the conditions of different signal to noise ratios (SNR), the correlation function magnitude squared value peak value of correlator Output matrix；Wherein scheme (5-A)
It is that signal to noise ratio is the result under the conditions of 20dB, it is that signal to noise ratio is the result under the conditions of 5dB to scheme (5-B), and figure (5-C) is that signal to noise ratio is
It is result under the conditions of -5dB that result under the conditions of 0dB, figure (5-D) are signal to noise ratios, and it is -10dB conditions that figure (5-E) is signal to noise ratio
Under result.
Table 6
| Tk(i) state | Real part (I) | Imaginary part (Q) |
| 0 | 1 | 0 |
| 1 | -0.5 | 0.866 |
| 2 | -0.5 | -0.866 |
| 3 | -1 | 0 |
| 4 | 0.5 | 0.866 |
| 5 | 0.5 | -0.866 |
Table 7
Table 8
Step 5：Correlation function data is chosen.The spread spectrum vector sequence Sj' (i) serial input correlator matrix, only
In Sj' (i) sequence and TkI, in that time period during () sequence alignment (4 bauds, 8 sampled points), 16 correlators just meet
Correlation function value needed for friendship relation, being only of output.Shown in the definition of data decimation signal K (l) such as formula (13)：
In formula, the interval of definition of K (l) is the length (78 bauds) of a 6PSK spread spectrum letter frame.The suitable switch of K (l)
Signal, it and PkIt is multiplied, obtains effective correlation function magnitude squared value Pk', as shown in formula (14)：
Pk'=Pk× K (l) (formula 14)
Figure (6) is correlation function range signal selecting circuit theory diagram.As shown in figure (6), Pk8 bit shift of serial input is deposited
Device, 8 adjacent P of parallel outputkIt is worth 8 path switching circuits, on-off circuit is controlled by K (l) signals.Close when K (l) is 0,
Pk'=0；Open when K (l)=1, Pk'=Pk.Figure (7) is the sequential chart for exporting correlation function range signal circuit.Such as figure (7)
Shown, the starting of each 6PSK spread-spectrum signal frame of frame synchronizing signal mark, the signal is by receiving FCCH frames (being shown in Table (6)) really
Fixed；Each 6PSK spread-spectrum signals frame takes 78 bauds, the wherein corresponding S of 3-74 baudsj' (i) sequence；Correlator matrix
Calculate Sj' (i) sequence and TkThe correlation function of (i) sequence, and the amplitude correlation function square value P that each sampling defeated is producedk；When
When the 71-74 baud per frame signal is input into correlator matrix, Sj' (i) sequence and Tk(i) sequence alignment, wherein certain correlator
Produce correlation function peak value；Data decimation signal K (l) produces 1 per frame on the basis of frame synchronizing signal, and its value is in 71-74
The baud time period is 1, and other time section is 0；K (l) controls 8 way switch output Pk', i.e. the 8 of 71-74 bauds time period PkValue.
Step 6：Correlation function amplitude is adjudicated.Figure (8) is the theory diagram of amplitude decision circuit.As shown in figure (8), phase
Close the correlation function range signal P of device Output matrixk' through 2 grades of amplitude judgements, determine the S having correctly receivedj(i) sequence.1st
Level amplitude is adjudicated to every road correlation function range signal Pk' 8 numerical value be compared, choose maximum W thereink=
[Pk']maxOutput (k=0,1,2..15), WkThe output frequency of data is Pk' frequency 1/8.2nd grade of amplitude is adjudicated to 16 Wk
Value carries out Amplitude Ratio compared with selection maximum [Wk]max, output produces the correlator label Z of the amplitude peak correlation function, related
Device label Z and SjI () sequential labeling is corresponding, represent and have received some Sj(i) sequence.
Step 7：Data recovery.According to the peak value correlator label Z, the mapping relations determined by table (9) obtain being connect
The data message of receipts, table (9) are corresponding with the table of transmission signal (4).
| Peak value correlator label Z | Data message |
| 0 | 0000 |
| 1 | 0001 |
| 2 | 0010 |
| 3 | 0011 |
| 4 | 0100 |
| 5 | 0101 |
| 6 | 0110 |
| 7 | 0111 |
| 8 | 1000 |
| 9 | 1001 |
| 10 | 1010 |
| 11 | 1011 |
| 12 | 1100 |
| 13 | 1101 |
| 14 | 1110 |
| 15 | 1111 |
Table 9
Although the present invention is disclosed above with embodiment, so which is in order to limit the present invention, any is familiar with this skill
Person, without departing from the spirit and scope of the present invention, when being used for a variety of modifications and variations, therefore protection scope of the present invention is worked as
Depending on appended claims, defined person is defined.
Claims (10)
1. a kind of non-coherent demodulation method of 6PSK modulated spread spectrum signals, it is characterised in that include：
Down coversion, sampling, cumulative, baseband filtering is carried out to 6PSK modulated spread spectrum signals, forms digital orthogonal baseband signal；
Digital orthogonal baseband signal constitutes 6PSK complex base band signals, constitutes a spread spectrum vector sequence per 18 complex base band signals；
Each spread spectrum vector sequence and 16 local vector sequences carry out related operation, calculate 16 correlation function amplitudes absolute
Value；
16 correlation function amplitude absolute values are made decisions, output produces the correlator label of amplitude peak；
According to correlator label and the mapping relations of spread spectrum vector sequence of amplitude peak, obtain 6PSK modulated spread spectrum signals and taken
The digital information of band.
2. the non-coherent demodulation method of 6PSK modulated spread spectrum signals as claimed in claim 1, it is characterised in that the 6PSK is adjusted
Spread-spectrum signal processed is represented by below equation：
S (t)=A (t) cos [ωiT+ θ (k)],
Wherein, A (t) is signal amplitude function, is determined by manipulator baseband filter, and its frequency response function is more than square root rises
String function；ωiIt is the angular frequency of signal carrier；θ (k) is the instantaneous phase of signal, changes by 6PSK modulation systems.
3. the non-coherent demodulation method of 6PSK modulated spread spectrum signals as claimed in claim 1, it is characterised in that the down coversion
Represented by below equation：
Wherein, ω0Local frequency is received for demodulator, its nominal value is identical with ω i；S in formulaI(t) and sQBefore (t) expression formula
One is required down-converted component,
4. the non-coherent demodulation method of 6PSK modulated spread spectrum signals as claimed in claim 3, it is characterised in that down-conversion signal
Sample frequency is 8 times of signal baud rate, i.e., 1 baud, 8 sampled points；After 4 samplings are cumulative, 1 baud, 2 samplings are reduced to
Point.
5. the non-coherent demodulation method of 6PSK modulated spread spectrum signals as claimed in claim 2, it is characterised in that baseband filter
Frequency response function is square root raised cosine function, and the digital orthogonal baseband signal being generated by it represented by below equation：
6. the non-coherent demodulation method of 6PSK modulated spread spectrum signals as claimed in claim 1, it is characterised in that the plural base
Band signal is made up of real part and imaginary part, is represented by below equation：
Sj' (n)=I (n)+jQ (n)=B (n) ej(ΔωnΔt+θ(k)).
7. the non-coherent demodulation method of 6PSK modulated spread spectrum signals as claimed in claim 6, it is characterised in that complex baseband is believed
Number real part, imaginary part be input into 144 grades of shift registers in 16 correlators, 18 tap output structures of shift register respectively
Into spread spectrum vector sequence, each tap is at intervals of 8 sampled datas.
8. the non-coherent demodulation method of 6PSK modulated spread spectrum signals as claimed in claim 7, it is characterised in that 16 correlators
Used in 16 local vector sequences with spread spectrum vector sequence into conjugate relation.
9. the non-coherent demodulation method of 6PSK modulated spread spectrum signals as claimed in claim 1, it is characterised in that believed with frame synchronization
On the basis of number, the correlation function width of each correlator is exported at the input spread spectrum vector sequence and local vector sequence synchronous moment
Angle value.
10. the non-coherent demodulation method of 6PSK modulated spread spectrum signals as claimed in claim 1, it is characterised in that through 2 grades of width
Degree judgement draws the correlator label for producing correlation function amplitude peak, adjudicates for wherein the 1st grade and obtains phase for each correlator
The maximum of function amplitude is closed, the 2nd grade of amplitude adjudicates the maximum of the correlation function amplitude for 16 correlators of acquisition.
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| CN107579942B (en) * | 2017-11-02 | 2020-04-10 | 电信科学技术第一研究所有限公司 | Demodulation method of APSK (amplitude phase Shift keying) modulation signal |
| CN111478712A (en) * | 2019-01-23 | 2020-07-31 | 英飞凌科技股份有限公司 | Communication device, method of receiving data via a radio signal and communication arrangement |
| CN112073116A (en) * | 2020-09-16 | 2020-12-11 | 电信科学技术第一研究所有限公司 | Frame structure of satellite carrier superposition signal and demodulation method thereof |
| CN112073116B (en) * | 2020-09-16 | 2022-04-29 | 电信科学技术第一研究所有限公司 | Frame structure of satellite carrier superposition signal and demodulation method thereof |
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