CN111158026B - Side peak eliminating method for BOC signal - Google Patents
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- 238000000034 method Methods 0.000 title claims abstract description 47
- 238000005314 correlation function Methods 0.000 claims abstract description 32
- 238000005311 autocorrelation function Methods 0.000 claims abstract description 25
- 230000007480 spreading Effects 0.000 claims description 8
- 238000001228 spectrum Methods 0.000 claims description 5
- 230000010363 phase shift Effects 0.000 claims description 4
- 230000003321 amplification Effects 0.000 claims 2
- 238000003199 nucleic acid amplification method Methods 0.000 claims 2
- 230000008030 elimination Effects 0.000 abstract description 9
- 238000003379 elimination reaction Methods 0.000 abstract description 9
- 230000008569 process Effects 0.000 abstract description 8
- 238000010586 diagram Methods 0.000 description 9
- KAKIEONGVIRLLB-UHFFFAOYSA-N CBOC Chemical compound CBOC KAKIEONGVIRLLB-UHFFFAOYSA-N 0.000 description 8
- 238000004088 simulation Methods 0.000 description 8
- 125000005931 tert-butyloxycarbonyl group Chemical group [H]C([H])([H])C(OC(*)=O)(C([H])([H])[H])C([H])([H])[H] 0.000 description 4
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01S—RADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
- G01S19/00—Satellite radio beacon positioning systems; Determining position, velocity or attitude using signals transmitted by such systems
- G01S19/01—Satellite radio beacon positioning systems transmitting time-stamped messages, e.g. GPS [Global Positioning System], GLONASS [Global Orbiting Navigation Satellite System] or GALILEO
- G01S19/13—Receivers
- G01S19/22—Multipath-related issues
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01S—RADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
- G01S19/00—Satellite radio beacon positioning systems; Determining position, velocity or attitude using signals transmitted by such systems
- G01S19/01—Satellite radio beacon positioning systems transmitting time-stamped messages, e.g. GPS [Global Positioning System], GLONASS [Global Orbiting Navigation Satellite System] or GALILEO
- G01S19/13—Receivers
- G01S19/35—Constructional details or hardware or software details of the signal processing chain
- G01S19/37—Hardware or software details of the signal processing chain
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- Y02D—CLIMATE CHANGE MITIGATION TECHNOLOGIES IN INFORMATION AND COMMUNICATION TECHNOLOGIES [ICT], I.E. INFORMATION AND COMMUNICATION TECHNOLOGIES AIMING AT THE REDUCTION OF THEIR OWN ENERGY USE
- Y02D30/00—Reducing energy consumption in communication networks
- Y02D30/70—Reducing energy consumption in communication networks in wireless communication networks
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Abstract
Aiming at the auxiliary peak elimination of BOC (n, n) signals, firstly, the invention does not need to calculate a cross correlation function RBOC/PRN (tau) with PRN, and can reduce the sliding correlation process of BOC sequences and PRN codes; secondly, the algorithm only uses RBOC and the modulus of one RBOC, and then the RBOC is accumulated, so that the structure is simple and easy to realize; the first autocorrelation function constructed by the invention can enlarge the ratio of the whole main peak to the auxiliary peak, eliminate the ambiguity problem caused by the influence of the auxiliary peak, achieve the aim of capturing signals rapidly and effectively, and improve the signal tracking precision; the second autocorrelation function constructed by the invention can eliminate the auxiliary peak to achieve the purpose of reserving the main peak; compared with the prior aspect, the method for eliminating the side peaks of the BOC signal provided by the embodiment of the invention can also effectively eliminate the side peaks of the BOC (m, n) signal when the frequencies are not corresponding.
Description
Technical Field
The invention relates to the technical field of signal processing, in particular to a method for eliminating a side peak of a BOC signal.
Background
Multipath errors are among the most important sources of error in high-precision measurements made by modern global navigation satellite systems. In order to eliminate the influence of multipath errors, various methods for eliminating multipath errors have been continuously developed in recent years, such as: narrow correlation techniques, strobe techniques, MEDLL (Multipath Estimating Delay Lock Loop), MET (Multipath Elimination Technology), and the like. But these methods of multipath cancellation are proposed for the BPSK (Binary Phase Shift Key) signal. And the modern GPS system, galileo system and China's Beidou second generation' system all adopt BOC (Binary Offset Carrier) modulation signals for improving tracking accuracy. The MBOC (6,1,1/11) modulated signal is one of many BOC signals, and the CBOC (6,1,1/11) signal, as an implementation of the MBOC signal, is widely used in Galileo E1 signals and in the "beidou second generation" B1 band. And because of a plurality of side peaks of the autocorrelation function of the CBOC (6,1,1/11) modulation signal, fuzzy points can be tracked during actual signal tracking, so that a large tracking error is generated. Therefore, in order to eliminate multipath existing in CBOC modulation signal tracking, it is first necessary to eliminate ambiguity existing in CBOC modulation signal tracking.
In order to solve the problem of tracking ambiguity of CBOC modulation signals, there are currently mainly the following methods: (1) The autocorrelation edge peak elimination technology (Autocorrelation Side-peak Cancellation Technique, ASPeCT) locally generates PRN (Pseudo Random Noise) codes and PRN codes modulated by subcarriers, respectively carries out correlation operation with received signals and then carries out side lobe cancellation treatment to inhibit auxiliary peaks, the performance is better, but the method is only applicable to the Sine-BOC (n, n) signals, and the correlation function processed by the method still has edge peaks; (2) Pseudo correlation function seudo-Correlation Function, PCF), locally correlating the received BOC signal with two specially designed signals, and then performing nonlinear processing to obtain a fuzzy-free correlation function, thereby realizing fuzzy-free tracking; (3) The AACF (Absolute Auto-Correlation Function) method adds the autocorrelation function of the CBOC modulated signal to its Absolute value to obtain a peak-free correlation function. However, in the prior art, the problem of ambiguity and multipath parameter estimation existing simultaneously during CBOC modulation signal tracking is solved by the method and the device aiming at the situation that CBOC and side peak elimination occur independently.
Disclosure of Invention
The embodiment of the invention aims to provide a method for eliminating the side peaks of BOC signals. The specific technical scheme is as follows:
the embodiment of the invention provides a method for eliminating the side peak of a BOC signal, which comprises the following steps:
constructing a generalized spread spectrum symbol waveform expression BOS (m, n) of the BOC modulation signal;
constructing two paths of local reference signals in a local code generator, respectively carrying out correlation operation on the two paths of local reference signals and BOC signals received by a receiver, and solving to obtain a BOC signal autocorrelation function and a BOC/BOC-s signal cross correlation function;
and obtaining the sum of the absolute value of the BOC signal autocorrelation function and the absolute value of the cross correlation function of the BOC/BOC-s signal to obtain the BOC modulation signal correlation function without side peaks.
Optionally, the expression of the cross correlation function of the BOC/BOC-s signal is:
BOC-s(m,n)＝sign(sin(t+180)；
where BOC-s (m, n) is the subcarrier of BOS (m, n) and t is time.
Optionally, the expression of the correlation function of the BOC modulation signal without side peaks is:
R ASPeCTup (τ)＝R B (τ)+|R -B (τ)|
wherein, the BOC signal autocorrelation function is included; is the cross-correlation function of the BOC/BOC-s signal.
Optionally, according to the BOC modulation signal principle, on the basis of binary phase shift keying BPSK modulation, a rectangular subcarrier is modulated again to perform secondary spread spectrum on the BOC signal to obtain a BOC signal s (t):
s(t)＝Pc(t)*sign[sin(2πfst+φ)]
where t represents a certain time, P is the amplitude of the BOC signal, c (t) is the pseudo code sequence, fs is the subcarrier frequency, and phi is the phase angle of the sinusoidal signal.
Alternatively, when the phase angles Φ are 0 ° and 90 °, respectively, the BOC signals represent a Sine-BOC signal and a cosine BOC signal, respectively; according to BOC signal expression (1), the expression of the BOC signal is BOC (fs, fc), wherein: the sub-carrier frequency fs=m×1.023MHz of the BOC signal, the spreading code rate fc=n×1.023MHz, and M and n are integer multiples of the reference frequency, so the BOC signal modulation order m=2m/n, the BOC signal expression of the BOC signal can also be expressed as BOC (M, n).
Aiming at the elimination of the secondary peak of the BOC (n, n) signal, the invention has the following advantages: (1) The sliding correlation process of the BOC sequence and the PRN code can be reduced without calculating a cross correlation function RBOC/PRN (tau) with the PRN; (2) The algorithm only uses RBOC and the modulus of one RBOC, and then the RBOC is accumulated, so that the structure is simple and easy to realize; the first autocorrelation function constructed by the invention can enlarge the ratio of the whole main peak to the auxiliary peak, eliminate the ambiguity problem caused by the influence of the auxiliary peak, achieve the aim of capturing signals rapidly and effectively, and improve the signal tracking precision; the second autocorrelation function constructed by the invention can eliminate the auxiliary peak to achieve the purpose of reserving the main peak; compared with the prior aspect, the method for eliminating the side peaks of the BOC signal provided by the embodiment of the invention can also effectively eliminate the side peaks of the BOC (m, n) signal when the frequencies are not corresponding.
Drawings
In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings used in the description of the embodiments or the prior art will be briefly described below.
FIG. 1 is a flow chart of a method for eliminating the side peak of BOC signal according to the embodiment of the invention;
FIG. 2 is a comparison chart of correlation functions provided in an embodiment of the present invention;
FIG. 3 is a diagram showing correlation between simulation data and spreading codes according to an embodiment of the present invention;
FIG. 4 is a correlation diagram after processing by adopting the AdASPect technique according to an embodiment of the present invention;
FIG. 5 is a simulation diagram of an ASPect technique according to an embodiment of the present invention;
fig. 6 is a simulation diagram of a BOC signal processed by the method for eliminating a side peak according to the embodiment of the invention.
Detailed Description
The technical solutions in the embodiments of the present invention will be described below with reference to the accompanying drawings in the embodiments of the present invention.
In order to solve the problem that the existing aspect technology cannot effectively eliminate the side peaks of BOCs (m, n) signals when frequencies are not corresponding, the embodiment of the invention provides a side peak eliminating method of BOC signals.
Example 1
Referring to fig. 1, an embodiment of the present invention provides a method for removing a side peak of a BOC signal, including:
s110, constructing a generalized spread spectrum symbol waveform expression BOS (m, n) of a BOC modulation signal;
s120, constructing two paths of local reference signals in a local code generator, respectively carrying out correlation operation on the two paths of local reference signals and BOC signals received by a receiver, and solving to obtain a BOC signal autocorrelation function and a BOC/BOC-s signal cross correlation function;
s130, obtaining the sum of the absolute value of the BOC signal autocorrelation function and the absolute value of the cross correlation function of the BOC/BOC-s signal, and obtaining the BOC modulation signal correlation function without side peaks.
Specifically, the invention aims at eliminating the secondary peak of BOC (n, n) signals, and has the following advantages: (1) The sliding correlation process of the BOC sequence and the PRN code can be reduced without calculating a cross correlation function RBOC/PRN (tau) with the PRN; (2) The algorithm only uses RBOC and the modulus of one RBOC, and then the RBOC is accumulated, so that the structure is simple and easy to realize; the first autocorrelation function constructed by the invention can enlarge the ratio of the whole main peak to the auxiliary peak, eliminate the ambiguity problem caused by the influence of the auxiliary peak, achieve the aim of capturing signals rapidly and effectively, and improve the signal tracking precision; the second autocorrelation function constructed by the invention can eliminate the auxiliary peak to achieve the purpose of reserving the main peak; compared with the prior aspect, the method for eliminating the side peaks of the BOC signal provided by the embodiment of the invention can also effectively eliminate the side peaks of the BOC (m, n) signal when the frequencies are not corresponding.
Further, the expression of the cross correlation function of the BOC/BOC-s signal is:
BOC-s(m,n)＝sign(sin(t+180)；
where BOC-s (m, n) is the subcarrier of BOS (m, n) and t is time.
Further, the expression of the correlation function of the BOC modulation signal without the side peak is as follows:
R ASPeCTup (τ)＝R B (τ)+|R -B (τ)|
wherein, the BOC signal autocorrelation function is included; is the cross-correlation function of the BOC/BOC-s signal.
Further, according to the BOC modulation signal principle, on the basis of Binary Phase Shift Keying (BPSK) modulation, a rectangular subcarrier is modulated again to perform secondary spread spectrum on the BOC signal so as to obtain a BOC signal s (t):
s(t)＝Pc(t)*sign[sin(2πfst+φ)]
where t represents a certain time, P is the amplitude of the BOC signal, c (t) is the pseudo code sequence, fs is the subcarrier frequency, and phi is the phase angle of the sinusoidal signal.
Further, when the phase angle Φ is 0 ° and 90 °, respectively, the BOC signal represents a Sine-BOC signal and a cosine BOC signal, respectively; according to BOC signal expression (1), the expression of the BOC signal is BOC (fs, fc), wherein: the sub-carrier frequency fs=m×1.023MHz of the BOC signal, the spreading code rate fc=n×1.023MHz, and M and n are integer multiples of the reference frequency, so the BOC signal modulation order m=2m/n, the BOC signal expression of the BOC signal can also be expressed as BOC (M, n).
It should be noted that, referring to fig. 2, through the sum of the absolute value of the autocorrelation function of the BOCs (m, n) signal and the cross correlation function of the BOC-s (m, n) signal (BOC-s (m, n) is a signal with a subcarrier of sign (sin (t+180)), two secondary peaks of the autocorrelation function of the BOCs (m, n) signal are completely eliminated, and the multipath interference resistance and the thermal noise resistance are better.
Aiming at the elimination of the secondary peak of the BOC (n, n) signal, the invention has the following advantages: (1) The sliding correlation process of the BOC sequence and the PRN code can be reduced without calculating a cross correlation function RBOC/PRN (tau) with the PRN; (2) The algorithm only uses RBOC and the modulus of one RBOC, and then the RBOC is accumulated, so that the structure is simple and easy to realize; the first autocorrelation function constructed by the invention can enlarge the ratio of the whole main peak to the auxiliary peak, eliminate the ambiguity problem caused by the influence of the auxiliary peak, achieve the aim of capturing signals rapidly and effectively, and improve the signal tracking precision; the second autocorrelation function constructed by the invention can eliminate the auxiliary peak to achieve the purpose of reserving the main peak; compared with the prior aspect, the method for eliminating the side peaks of the BOC signal provided by the embodiment of the invention can also effectively eliminate the side peaks of the BOC (m, n) signal when the frequencies are not corresponding.
Example 2
Based on the above embodiment 1, the method for eliminating the side peak of the BOC signal provided by the embodiment of the invention is simulated.
Simulating a B1C signal; sampling frequency: 16.369Mhz; intermediate frequency 9.208Mhz;
please refer to fig. 3 for correlation between the simulation data and the spreading code;
as can be seen from fig. 3, there is a certain error in the correlation diagram of the simulation data and the spreading code. The simulated data cross-correlation function is not at zero at the peak of the sub-correlation. Resulting in a decrease or increase in signal peaks.
A simulation diagram obtained by adopting the adasapect technique is shown in fig. 4; fig. 4 is a graph employing the formula: r is R adASPeCT (τ)＝R B (τ)+|R B/P (τ) | post-treatment graph.
Referring to fig. 5, fig. 5 is a simulation diagram after processing by ASPect technology; the processing formula of the ASPect technology is as follows:
referring to FIG. 6, FIG. 6 is a schematic diagram of an embodiment of the present inventionSimulation diagram processed by the side peak elimination method of BOC signal, wherein the processing formula is R ASPeCTup (τ)＝R B (τ)+|R -B (τ)|。
In summary, fig. 4-6 show simulation graphs of three autocorrelation edge elimination methods. From the figure, it can be seen that the improved aspect method not only completely eliminates two secondary peaks of the autocorrelation function of the BOCs (m, n) signal, but also maintains the narrow peaking of the autocorrelation.
When capturing by Aspect, the correlation function is good only when the frequency corresponds, and is bad at other times; affecting the capture accuracy. Comparing fig. 4 and fig. 5 with fig. 6, it can be seen that the direct capture method (direct extraction method) is better than the aspect method.
Aiming at the auxiliary peak elimination of BOC (n, n) signals, firstly, the invention does not need to calculate a cross correlation function RBOC/PRN (tau) with PRN, and can reduce the sliding correlation process of BOC sequences and PRN codes; secondly, the algorithm only uses RBOC and the modulus of one RBOC, and then the RBOC is accumulated, so that the structure is simple and easy to realize; the first autocorrelation function constructed by the invention can enlarge the ratio of the whole main peak to the auxiliary peak, eliminate the ambiguity problem caused by the influence of the auxiliary peak, achieve the aim of capturing signals rapidly and effectively, and improve the signal tracking precision; the second autocorrelation function constructed by the invention can eliminate the auxiliary peak to achieve the purpose of reserving the main peak; compared with the prior aspect, the method for eliminating the side peaks of the BOC signal provided by the embodiment of the invention can also effectively eliminate the side peaks of the BOC (m, n) signal when the frequencies are not corresponding.
It is noted that relational terms such as first and second, and the like are used solely to distinguish one entity or action from another entity or action without necessarily requiring or implying any actual such relationship or order between such entities or actions. Moreover, the terms "comprises," "comprising," or any other variation thereof, are intended to cover a non-exclusive inclusion, such that a process, method, article, or apparatus that comprises a list of elements does not include only those elements but may include other elements not expressly listed or inherent to such process, method, article, or apparatus. Without further limitation, an element defined by the phrase "comprising one … …" does not exclude the presence of other like elements in a process, method, article, or apparatus that comprises the element.
In this specification, each embodiment is described in a related manner, and identical and similar parts of each embodiment are all referred to each other, and each embodiment mainly describes differences from other embodiments. The foregoing description is only of the preferred embodiments of the present invention and is not intended to limit the scope of the present invention. Any modification, equivalent replacement, improvement, etc. made within the spirit and principle of the present invention are included in the protection scope of the present invention.
Claims (3)
1. A method for removing a side peak of a BOC signal, comprising:
constructing a generalized spread spectrum symbol waveform expression BOC (m, n) of the BOC modulation signal; where m is the amplification factor of the subcarrier frequency for the reference frequency and n is the amplification factor of the spreading code rate for the reference frequency;
constructing two paths of local reference signals in a local code generator, respectively carrying out correlation operation on the two paths of local reference signals and BOC signals received by a receiver, and solving to obtain a BOC signal autocorrelation function and a BOC/BOC-s signal cross correlation function;
obtaining the sum of the absolute value of the BOC signal autocorrelation function and the absolute value of the cross correlation function of the BOC/BOC-s signal to obtain a BOC modulation signal correlation function without side peaks;
the expression of the cross-correlation function of the BOC/BOC-s signal is as follows:
BOC -s (m，n)＝sign(sin(t+180))；
in the formula, BOC -s (m, n) is a subcarrier of BOC (m, n), t is time;
the expression of the correlation function of the BOC modulation signal without the side peak is as follows:
R ASPeCTup (τ)＝|R B (τ)|+|R -B (τ)|；
wherein τ is the BOC signal; r is R B (τ) is a BOC signal autocorrelation function; r is R -B (τ) is the cross-correlation function of the BOC/BOC-s signal.
2. The method for removing side peaks of BOC signal according to claim 1, wherein according to the BOC modulation signal principle, on the basis of binary phase shift keying BPSK modulation, a rectangular subcarrier is modulated again to perform secondary spreading on the BOC signal to obtain a BOC signal s (t):
s(t)＝Pc(t)*sign[sin(2πfst+φ)]；
where t represents a certain time, P is the amplitude of the BOC signal, c (t) is the pseudo code sequence, fs is the subcarrier frequency, and phi is the phase angle of the sinusoidal signal.
3. The method of claim 1, wherein the BOC signal represents a Sine BOC (Sine-BOC) signal and a cosine BOC signal when the phase angle Φ is 0 ° and 90 °, respectively; BOC (fs, fc) is expressed according to a BOC signal, wherein: the sub-carrier frequency fs=m×1.023MHz of the BOC signal, the spreading code rate fc=n×1.023MHz, and thus the BOC signal modulation order m=2m/n, the BOC signal expression may also be expressed as BOC (M, n).
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