CN107395541B - The signal-timing method and system of continuous phase modulated signal - Google Patents
The signal-timing method and system of continuous phase modulated signal Download PDFInfo
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Abstract
The present invention proposes the signal-timing method and system of a kind of continuous phase modulated signal, method includes the following steps: S1: N number of counter is arranged, respectively corresponds N number of sampling instant of code-element period, N is the sampling number of each code element；S2: obtaining the road I of the base band data of continuous phase modulated signal and the sampled data of the road Q signal waveform, judges whether the road I and the road Q waveform all have monotonicity at every sampling moment, if it is not, it is cumulative then to carry out definite value in corresponding counter；S3: after certain sampling time, the count value of more N number of counter, using the corresponding sampling instant of numerical value the maximum as symbol initial time.The signal-timing method and system of continuous phase modulated signal of the invention, operand is small, and precision meets optimal demodulation requirement.
Description
Technical field
The present invention relates to field of communication technology more particularly to a kind of signal-timing methods of continuous phase modulated signal
And system.
Background technique
Minimum frequency shift keying (MSK) and gaussian minimum shift keying (GMSK) are the continuous phase tune that modulation index is 1/2
It makes (CPM), wherein the response of MSK frequency pulse is rectangular pulse, and the response of GMSK frequency pulse is gaussian minimum shift keying pulse.
MSK/GMSK constant-envelope, Phase Continuation, so that its out-of-band radiation power is small, spectrum density is concentrated, and since its phase has
Memorability, so that it is with certain error correcting capability.Therefore, MSK/GMSK band efficiency with higher and higher power
Utilization rate is suitble to transmit in radio communication channel.MSK because of its strong antijamming capability, be trapped the low advantage of rate, in the U.S.
Become a kind of main modulation system in Link16 data-link.The band efficiency ratio MSK of GMSK is higher, has in band resource
The digital communicating field of limit is widely used, such as global system for mobile communications (GSM), telemetering target range system, aviation number
According to chain and spatial data transmission etc..
The optimal demodulation algorithm of MSK/GMSK is Maximum likelihood sequence detection algorithm (MLSE), uses MLSE demodulating algorithm
Key first is that symbol timing information is accurately restored.
Document " Vitetta Joint Phase and Timing Recovery With CPM signals. "
(Michele Morelli,Umberto Mengali and Giorgio M.IEEE Trans.Commun,1997；45(7))
Combined estimator is carried out to carrier phase and Symbol Timing based on maximum likelihood algorithm, still, algorithm complexity is high, operand
Greatly.Document " a kind of GMSK bit-synchronization algorithm realized towards DSP " (Lai Wenqiang, Zhao Jianye radio engineering, 2004；34
(2)) it is directed to digital GMSK differential ference spiral receiver, proposes a kind of simple time synchronization method of structure, but in " 0 ", " 1 "
Performance can decline when not etc. general.
Summary of the invention
Technical problem to be solved by the invention is to provide a kind of signal-timing method of continuous phase modulated signal and it is
System, operand is small, and precision is higher.
To solve the above problems, the present invention proposes a kind of signal-timing method of continuous phase modulated signal, including following
Step:
S1: being arranged N number of counter, respectively corresponds N number of sampling instant of code-element period, and N is the sampling number of each code element；
S2: the road I of the base band data of continuous phase modulated signal and the sampled data of the road Q signal waveform are obtained, each
Sampling instant judges whether the road I and the road Q waveform all have monotonicity, if it is not, it is cumulative then to carry out definite value in corresponding counter；
S3: after certain sampling time, the count value of more N number of counter, with the corresponding sampling instant of numerical value the maximum
As symbol initial time.
According to one embodiment of present invention, before the step S1, first to the base band number of continuous phase modulated signal
According to numerical analysis is carried out, the waveform sampling information on the road I and the road Q signal is recorded, extracts the Symbol Timing letter in waveform sampling information
Breath；Then in the step S2, using the waveform sampling information with symbol timing information as the road I and the road Q signal wave
The sampled data of shape.
According to one embodiment of present invention, the symbol timing information includes: in the signal waveform of the road I in each sampling instant
For the Wave data of extreme point, in the signal waveform of the road I in the Wave data that each sampling instant is zero crossing, the road Q signal waveform
In the Wave data that each sampling instant is zero crossing in the Wave data that each sampling instant is extreme point, the road Q signal waveform.
According to one embodiment of present invention, in the step S2, the road I and the road Q signal waveform do not all have monotonicity
Rule of judgment are as follows:
As I (nTs) correspond to extreme point and Q (nTs) zero crossing is corresponded to, alternatively, working as Q (nTs) correspond to extreme point and I
(nTs) correspond to zero crossing；Wherein,
I(nTs) correspond to extreme point and refer to: | I (nTs) | >=| I ((n-1) Ts) | and | I (nTs) | >=| I ((n+1)
Ts)|；
Q(nTs) correspond to extreme point and be: | Q (nTs) | >=| Q ((n-1) Ts) | and | Q (nTs) | >=| Q ((n+1) Ts)
|；
I(nTs) correspond to zero crossing and refer to: I ((n-1) Ts)*I((n+1)Ts) < 0；
Q(nTs) correspond to zero crossing and refer to: Q ((n-1) Ts)*Q((n+1)Ts) < 0；
TsFor the sampling period, n is sampled point serial number, and code-element period is N times of sampling period, and N is positive integer, I (nTs) be
Sampling instant nTsThe road I signal waveform sampled value, Q (nTs) it is sampling instant nTsThe road Q signal waveform sampled value.
According to one embodiment of present invention, in the step S1, it is additionally provided with a timer；In the step S2
Timer carries out timing；In the step S3, when timer reaches setting time, the count value of more N number of counter.
According to one embodiment of present invention, the continuous phase modulated signal is that the reception signal of receiver passes through carrier wave
Signal after loop, frequency and phase have been restored, so as to obtain the road the I signal and the road Q letter of the base band data
Number.
According to one embodiment of present invention, the road I of the base band data of the continuous phase modulated signal and the road Q signal
It is monotonic function within each code element period.
According to one embodiment of present invention, the continuous phase modulated signal is msk signal or GMSK signal.
The present invention also provides a kind of Symbol Timing systems of continuous phase modulated signal, comprising the following steps:
Counting unit is provided with N number of counter, respectively corresponds N number of sampling instant of code-element period, and N is each code element
Sampling number；
Summing elements are sampled, the road I of the base band data of continuous phase modulated signal and the hits of the road Q signal waveform are obtained
According to, judge whether the road I and the road Q waveform all have monotonicity at every sampling moment, if it is not, then corresponding counter carry out
Definite value is cumulative；
Comparing unit, after certain sampling time, the count value of more N number of counter is adopted so that numerical value the maximum is corresponding
The sample moment is as symbol initial time.
According to one embodiment of present invention, further includes:
Timing unit is provided with a timer, and in sampling summing elements sampling cumulative process, timer is counted
When, when timer reaches setting time, notify the count value of the more N number of counter of the comparing unit.
After adopting the above technical scheme, the present invention has the advantages that compared with prior art
The present invention utilizes the phase characteristic and base band data waveform characteristic of continuous phase modulated signal, passes through different samplings
The symbol timing information situation that moment obtains carries out statistics comparison, obtains the optimum sampling moment, improves Symbol Timing precision, algorithm
Structure is simple, and operand is small, does not need in Project Realization using multiplier, and it is minimum to occupy resource, to " 0 ", " 1 " data it is general
Rate does not have particular/special requirement, and Symbol Timing precision meets the required precision of optimal demodulation.
Detailed description of the invention
Fig. 1 is the flow diagram of the signal-timing method of the continuous phase modulated signal of one embodiment of the invention；
Fig. 2 is the flow diagram of the signal-timing method of the continuous phase modulated signal of another embodiment of the present invention；
Fig. 3 is the phase locus figure of the msk signal of one embodiment of the invention.
Fig. 4 is the phase locus figure of the GMSK signal of one embodiment of the invention.
Specific embodiment
In order to make the foregoing objectives, features and advantages of the present invention clearer and more comprehensible, with reference to the accompanying drawing to the present invention
Specific embodiment be described in detail.
In the following description, numerous specific details are set forth in order to facilitate a full understanding of the present invention.But the present invention can be with
Much it is different from other way described herein to implement, those skilled in the art can be without prejudice to intension of the present invention the case where
Under do similar popularization, therefore the present invention is not limited to the specific embodiments disclosed below.
Referring to Fig. 1, in one embodiment, the signal-timing method of continuous phase modulated signal the following steps are included:
S1: being arranged N number of counter, respectively corresponds N number of sampling instant of code-element period, and N is the sampling number of each code element；
S2: the road I of the base band data of continuous phase modulated signal and the sampled data of the road Q signal waveform are obtained, each
Sampling instant judges whether the road I and the road Q waveform all have monotonicity, if it is not, it is cumulative then to carry out definite value in corresponding counter；
S3: after certain sampling time, the count value of more N number of counter, with the corresponding sampling instant of numerical value the maximum
As symbol initial time.
The signal-timing method of the continuous phase modulated signal of the utility model embodiment, can be by symbol timing information standard
Really restore, has the advantages of simple structure and easy realization, to " 0 ", " 1 " probability does not have particular/special requirement, thus for the maximum likelihood of MSK/GMSK
It is highly beneficial for the solution of Sequence Detection algorithms.Thus the continuous phase modulated signal of the utility model embodiment can be
Msk signal or GMSK signal to may be used in the solution of Maximum likelihood sequence detection algorithm of MSK/GMSK, but can be managed
Solution, should not be as limit.
In the following embodiments, specifically it is unfolded by msk signal or GMSK signal of continuous phase modulated signal
Description, naturally it is also possible to be used for other continuous phase modulated signals.
In one embodiment, before step S1, first the base band data of continuous phase modulated signal can be counted
Value analysis, records the waveform sampling information on the road I and the road Q signal, extracts the symbol timing information in waveform sampling information；Then exist
In the step S2, using the waveform sampling information with symbol timing information as the hits on the road I and the road Q signal waveform
According to.
Preferably, symbol timing information includes: in the signal waveform of the road I in the Wave data that each sampling instant is extreme point, I
It in each sampling instant is extreme point in the signal waveform of the road Q in the Wave data that each sampling instant is zero crossing in the signal waveform of road
Wave data, in the Wave data that each sampling instant is zero crossing in the signal waveform of the road Q.
Preferably, in step S2, the road I and the road Q signal waveform do not all have the Rule of judgment of monotonicity are as follows:
As I (nTs) correspond to extreme point and Q (nTs) zero crossing is corresponded to, alternatively, working as Q (nTs) correspond to extreme point and I
(nTs) correspond to zero crossing；Wherein,
I(nTs) correspond to extreme point and refer to: | I (nTs) | >=| I ((n-1) Ts) | and | I (nTs) | >=| I ((n+1)
Ts)|；
Q(nTs) correspond to extreme point and be: | Q (nTs) | >=| Q ((n-1) Ts) | and | Q (nTs) | >=| Q ((n+1) Ts)
|；
I(nTs) correspond to zero crossing and refer to: I ((n-1) Ts)*I((n+1)Ts) < 0；
Q(nTs) correspond to zero crossing and refer to: Q ((n-1) Ts)*Q((n+1)Ts) < 0；
TsFor the sampling period, n is sampled point serial number, and code-element period is N times of sampling period, and N is positive integer, I (nTs) be
Sampling instant nTsThe road I signal waveform sampled value, Q (nTs) it is sampling instant nTsThe road Q signal waveform sampled value.
Preferably, in the step S1, it is additionally provided with a timer；Timing is carried out in the step S2 Timer；
In the step S3, when timer reaches setting time, the count value of more N number of counter.Setting time is setting
The statistical time of statistic sampling point.
Specifically, the signal-timing method of continuous phase modulated signal can be with combined with Figure 1 and Figure 2, are as follows:
To the base band data I (nT of MSK or GMSK signals) and Q (nTs) numerical analysis is carried out, record I (nTs) and Q
(nTs) in sampling instant nTsShape information, extract shape information in symbol timing information；Wherein, I (nTs) it is extreme point,
Alternatively, I (nTs) it is zero crossing, alternatively, Q (nTs) it is extreme point, alternatively, Q (nTs) it is zero crossing, these points are all used as symbol
Timing information；
The sampling number of each code element is N, and N number of counter is arranged；Sampling instant nTsUsing code-element period T as the period, respectively
(1,2 ..., N) a counter is corresponded to, has N number of sampling instant in a code-element period, it is determined that the starting sample moment can be to adopt
The sample period determines next sampling time point, and sampling time point corresponding with the starting sample moment shares same counter；Work as sampling
Moment nTsShape information when meeting judgment condition, on corresponding counter plus 1；Judgment condition such as institute in previous embodiment
It states are as follows: as I (nTs) it is extreme point and Q (nTs) it is zero crossing, alternatively, working as Q (nTs) it is extreme point and I (nTs) it is zero crossing；
At the same time, a timer is set, timing is carried out；
When timer is equal to set statistical time, the numerical values recited of more N number of counter selects numerical value maximum
Sampling instant corresponding to counter is as symbol initial time.
Optionally, the road I of the base band data of continuous phase modulated signal and the road Q signal are list within each code element period
Letter of transfer number.
In one embodiment, MSK or GMSK signal can indicate are as follows:
In formula (1), EsFor chip energies, T is code-element period, f0For carrier frequency,For initial phase,For
Phase information may be expressed as:
In formula (2),Indicate binary transmission sequence of symhols, its value range is {+1, -1 }, modulation
Frequency pulse response g (t) of index h=1/2, MSK and GMSK are respectively as follows:
In formula (4), BbFor premodulated Gaussian filter three dB bandwidth,
The modulation intelligence of MSK or GMSK signal is included in phase information
In, in code-element period,
For monotonic function, from the phase locus figure of above formula available MSK and GMSK.In conjunction with Fig. 3 and Fig. 4,
It can be seen that the phase path in each code element period
?Section is monotonically changed, and wherein k is integer.
In one embodiment, continuous phase modulated signal is the reception signal of receiver by the letter after carrier loop
Number, frequency and phase have been restored, so as to obtain the road the I signal and the road Q signal of the base band data.
The reception signal of MSK or GMSK receiver passes through after carrier loop, and frequency has been restored with phase, then can obtain
To the road base band data I and the road Q:
And since cos function and sin function existIt is also monotonic function, therefore, base band data in section
I (t) and Q (t) are monotonic function in each code element cycle T.
Effect of the invention can be further illustrated by following emulation:
1, it is directed to msk signal
Simulated conditions: each code element sampling number N=5, statistical time 2000T, in view of the bit error rate be 9 × 10-5When,
The theoretical sensitivity of MSK optimal demodulation algorithm is Eb/N0=8.7dB, therefore enables the Eb/N0=8dB of AWGN channel.
Simulation result: the judgement probability of the signal-timing method of MSK/GMSK signal of the invention: timing error be 0 it is general
Rate is 99.61%, and timing offset is | T/5 | probability be 0.39%, meet MSK optimal demodulation algorithm to timing error precision
It is required that.
2, it is directed to GMSK signal
Simulated conditions: BbT=0.25, each code element sampling number N=5, statistical time 2000T, in view of the bit error rate be 9
×10-5When, the theoretical sensitivity of GMSK optimal demodulation algorithm is Eb/N0=9.2dB, therefore enables the noise figure Eb/ of awgn channel
N0=9dB.
Simulation result: the judgement probability of the signal-timing method of MSK/GMSK signal of the invention: timing error be 0 it is general
Rate is 99.95%, and timing offset is | T/5 | probability be 0.05%, meet GMSK optimal demodulation algorithm to timing error precision
Requirement.
The present invention also provides a kind of Symbol Timing systems of continuous phase modulated signal, comprising the following steps:
Counting unit is provided with N number of counter, respectively corresponds N number of sampling instant of code-element period, and N is each code element
Sampling number；
Summing elements are sampled, the road I of the base band data of continuous phase modulated signal and the hits of the road Q signal waveform are obtained
According to, judge whether the road I and the road Q waveform all have monotonicity at every sampling moment, if it is not, then corresponding counter carry out
Definite value is cumulative；
Comparing unit, after certain sampling time, the count value of more N number of counter is adopted so that numerical value the maximum is corresponding
The sample moment is as symbol initial time.
According to one embodiment of present invention, further includes:
Timing unit is provided with a timer, and in sampling summing elements sampling cumulative process, timer is counted
When, when timer reaches setting time, notify the count value of the more N number of counter of the comparing unit.
Before the particular content of the Symbol Timing system of continuous phase modulated signal about the embodiment of the present invention may refer to
The description of the signal-timing method part of continuous phase modulated signal in embodiment is stated, details are not described herein.
The present invention utilizes the phase characteristic and base band data waveform characteristic of continuous phase modulated signal, passes through different samplings
The symbol timing information situation that moment obtains carries out statistics comparison, obtains the optimum sampling moment, improves Symbol Timing precision, algorithm
Structure is simple, and operand is small, does not need in Project Realization using multiplier, and it is minimum to occupy resource, to " 0 ", " 1 " data it is general
Rate does not have particular/special requirement, and Symbol Timing precision meets the required precision of optimal demodulation.
Although the present invention is disclosed as above with preferred embodiment, it is not for limiting claim, any this field
Technical staff without departing from the spirit and scope of the present invention, can make possible variation and modification, therefore of the invention
Protection scope should be subject to the range that the claims in the present invention are defined.
Claims (9)
1. a kind of signal-timing method of continuous phase modulated signal, which comprises the following steps:
S1: first carrying out numerical analysis to the base band data of continuous phase modulated signal, the waveform sampling information of tracer signal, in advance
Symbol timing information in waveform sampling information；N number of counter is set, N number of sampling instant of code-element period is respectively corresponded, N is
The sampling number of each code element；
S2: using the waveform sampling information with symbol timing information as the I for the base band data for obtaining continuous phase modulated signal
The sampled data on road and the road Q signal waveform, judges whether the road I and the road Q waveform all have monotonicity at every sampling moment, if not
It is that it is cumulative then to carry out definite value in corresponding counter；
S3: after certain sampling time, the count value of more N number of counter, using the corresponding sampling instant of numerical value the maximum as
Symbol initial time.
2. the signal-timing method of continuous phase modulated signal as described in claim 1, which is characterized in that the Symbol Timing
Information includes: in the Wave data that each sampling instant is extreme point in the signal waveform of the road I, in the signal waveform of the road I in each sampling
Carve be zero crossing Wave data, in the Wave data that each sampling instant is extreme point, the road Q signal waveform in the signal waveform of the road Q
In each sampling instant be zero crossing Wave data.
3. the signal-timing method of the continuous phase modulated signal as described in any one of claim 1-2, which is characterized in that
In the step S2, the road I and the road Q signal waveform do not all have the Rule of judgment of monotonicity are as follows:
As I (nTs) correspond to extreme point and Q (nTs) zero crossing is corresponded to, alternatively, working as Q (nTs) correspond to extreme point and I (nTs)
Correspond to zero crossing；Wherein,
I(nTs) correspond to extreme point and refer to: | I (nTs) | >=| I ((n-1) Ts) | and | I (nTs) | >=| I ((n+1) Ts)|；
Q(nTs) correspond to extreme point and be: | Q (nTs) | >=| Q ((n-1) Ts) | and | Q (nTs) | >=| Q ((n+1) Ts)|；
I(nTs) correspond to zero crossing and refer to: I ((n-1) Ts)*I((n+1)Ts) < 0；
Q(nTs) correspond to zero crossing and refer to: Q ((n-1) Ts)*Q((n+1)Ts) < 0；
TsFor the sampling period, n is sampled point serial number, and code-element period is N times of sampling period, and N is positive integer, I (nTs) it is sampling
Moment nTsThe road I signal waveform sampled value, Q (nTs) it is sampling instant nTsThe road Q signal waveform sampled value.
4. the signal-timing method of continuous phase modulated signal as described in claim 1, which is characterized in that in the step S1
In, it is additionally provided with a timer；Timing is carried out in the step S2 Timer；In the step S3, when timer reaches
When setting time, the count value of more N number of counter.
5. the signal-timing method of continuous phase modulated signal as described in claim 1, which is characterized in that the continuous phase
Modulated signal is the reception signal of receiver by the signal after carrier loop, and frequency and phase have been restored, so as to
Access the road the I signal and the road Q signal of the base band data.
6. the signal-timing method of continuous phase modulated signal as described in claim 1, which is characterized in that the continuous phase
The road I of the base band data of modulated signal and the road Q signal are monotonic function within each code element period.
7. the signal-timing method of continuous phase modulated signal as described in claim 1 or 6, which is characterized in that described continuous
Phase modulated signal is msk signal or GMSK signal.
8. a kind of Symbol Timing system of continuous phase modulated signal characterized by comprising
Counting unit is provided with N number of counter, respectively corresponds N number of sampling instant of code-element period, and N is the sampling of each code element
Points；
Summing elements are sampled, numerical analysis first is carried out to the base band data of continuous phase modulated signal, record Continuous Phase Modulation
The road I of the base band data of signal and the road Q signal waveform sample information extract the symbol timing information in waveform sampling information；?
Each sampling instant judges whether the road I and the road Q waveform all have monotonicity, if it is not, then carrying out definite value in corresponding counter
It is cumulative；
Comparing unit, after certain sampling time, the count value of more N number of counter, when sampling corresponding with numerical value the maximum
It carves and is used as symbol initial time.
9. the Symbol Timing system of continuous phase modulated signal as claimed in claim 8, which is characterized in that further include:
Timing unit is provided with a timer, and in sampling summing elements sampling cumulative process, timer carries out timing,
When timer reaches setting time, the count value of the more N number of counter of the comparing unit is notified.
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