CN111158026A - Method for eliminating side peak of BOC signal - Google Patents
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- 238000000034 method Methods 0.000 title claims abstract description 48
- 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 9
- 230000010363 phase shift Effects 0.000 claims description 4
- 238000001228 spectrum Methods 0.000 claims description 3
- 125000005931 tert-butyloxycarbonyl group Chemical group [H]C([H])([H])C(OC(*)=O)(C([H])([H])[H])C([H])([H])[H] 0.000 abstract description 68
- 230000008569 process Effects 0.000 abstract description 9
- 230000008030 elimination Effects 0.000 abstract description 7
- 238000003379 elimination reaction Methods 0.000 abstract description 7
- 238000009825 accumulation Methods 0.000 abstract description 5
- 238000010586 diagram Methods 0.000 description 9
- 238000004088 simulation Methods 0.000 description 9
- KAKIEONGVIRLLB-UHFFFAOYSA-N CBOC Chemical compound CBOC KAKIEONGVIRLLB-UHFFFAOYSA-N 0.000 description 8
- 230000009471 action Effects 0.000 description 3
- 230000000694 effects Effects 0.000 description 1
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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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- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- 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
Abstract
Aiming at the elimination of the secondary peak of a BOC (n, n) signal, firstly, a cross-correlation function RBOC/PRN (tau) with PRN does not need to be calculated, and the sliding correlation process of a BOC sequence and a PRN code can be reduced; secondly, only RBOC and module taking of one RBOC are used in the algorithm, and then accumulation is carried out, so that the algorithm is simple in structure 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 so as to achieve the aim of quickly and effectively capturing signals and improve the accuracy of signal tracking; the second autocorrelation function constructed by the invention can eliminate the secondary peak to keep the main peak; compared with the existing aspect, the method for eliminating the side peak of the BOC signal provided by the embodiment of the invention can effectively eliminate the side peak of the BOCs (m, n) signal when the frequency does not correspond.
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
In the measurement of high precision by modern global navigation satellite system, multipath error is the most important error source. In order to eliminate the effect of multipath error, various methods for eliminating multipath error have been continuously appeared in recent years, such as: narrow correlation technique, Strobe technique, MEDLL (Multi Estimating Delay Loop), MET (Multi interference technology), and the like. However, these methods for multipath cancellation are proposed for bpsk (binary Phase Shift key) signals. In modern GPS systems, Galileo systems and the beidou second generation system in china, boc (binary Offset carrier) modulation signals are used to improve the tracking accuracy. The MBOC (6,1,1/11) modulated signal is one of many BOC signals, and the CBOC (6,1,1/11) signal is widely used in Galileo E1 signals and "beidou second generation" B1 frequency band as an implementation manner of the MBOC signal. Since the autocorrelation function of the CBOC (6,1,1/11) modulated signal has a plurality of side peaks, a fuzzy point is tracked during actual signal tracking, and thus a large tracking error is generated. Therefore, in order to eliminate the multipath existing in the CBOC modulated signal tracking, the ambiguity existing in the CBOC modulated signal tracking process must be eliminated first.
In order to solve the tracking ambiguity problem of the CBOC modulation signal, there are the following methods: (1) an Autocorrelation Side-peak Cancellation Technique (ASPeCT) locally generates a PRN (pseudo Random noise) code and a PRN code modulated by a subcarrier, and performs Side-lobe Cancellation processing after performing correlation operation on the PRN code and a received signal respectively to suppress a secondary peak, wherein the performance is good but only applicable to a Sine-BOC (n, n) signal, and a correlation function processed by the method still has a Side peak; (2) pseudo-correlation function (PCF) locally adopting two specially designed signals to correlate with a received BOC signal, and then carrying out nonlinear processing to obtain a non-fuzzy correlation function so as to realize non-fuzzy tracking; (3) the AACF (Absolute Auto-correlation function) method adds an autocorrelation function of a CBOC modulated signal to an Absolute value thereof to obtain a correlation function without a side peak. However, in the existing documents, the problems of ambiguity and multipath parameter estimation existing simultaneously when the CBOC modulation signal is tracked are solved by the invention aiming at the situation that CBOC and side peak elimination appear independently.
Disclosure of Invention
The embodiment of the invention aims to provide a method for eliminating the side peak of a BOC signal. The specific technical scheme is as follows:
the embodiment of the invention provides a method for eliminating side peaks of BOC signals, which comprises the following steps:
constructing a generalized spread spectrum symbol waveform expression BOS (m, n) of the BOC modulation signal;
constructing two local reference signals at a local code generator, respectively carrying out correlation operation on the two local reference signals and the BOC signal received by a receiver, and solving to obtain a BOC signal autocorrelation function and a BOC/BOC-s signal cross-correlation function;
and solving the sum of the absolute value of the autocorrelation function of the BOC signal and the absolute value of the cross-correlation function of the BOC/BOC-s signal to obtain the correlation function of the BOC modulation signal without the side peak.
Optionally, the expression of the cross-correlation function of the BOC/BOC-s signal is:
BOC-s(m,n)＝sign(sin(t+180)；
in the formula, 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 the side peak is:
RASPeCTup(τ)＝RB(τ)+|R-B(τ)|
wherein is the BOC signal autocorrelation function; 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 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 denotes 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.
Optionally, when the phase angle Φ is 0 ° and 90 °, the BOC signals represent Sine BOC (Sine-BOC) signals and cosine BOC signals, respectively; according to BOC signal expression (1), the BOC signal is expressed in the form of BOC (fs, fc), where: the subcarrier frequency fs of the BOC signal is mx 1.023MHz, the spreading code rate fc is nx1.023 MHz, and M and n are integer multiples of the reference frequency, so that the modulation order M of the BOC signal is 2M/n, and the BOC signal expression may 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 cross-correlation function RBOC/PRN (tau) with PRN does not need to be calculated, so that the sliding correlation process of the BOC sequence and the PRN code can be reduced; (2) in the algorithm, only RBOC and module taking of one RBOC are used, and then accumulation is performed, 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 so as to achieve the aim of quickly and effectively capturing signals and improve the accuracy of signal tracking; the second autocorrelation function constructed by the invention can eliminate the secondary peak to keep the main peak; compared with the existing aspect, the method for eliminating the side peak of the BOC signal provided by the embodiment of the invention can effectively eliminate the side peak of the BOCs (m, n) signal when the frequency does not correspond.
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 flowchart of a method for eliminating a side peak of a BOC signal according to an embodiment of the present invention;
FIG. 2 is a graph comparing correlation functions provided by embodiments of the present invention;
FIG. 3 is a correlation diagram of simulation data and spreading codes according to an embodiment of the present invention;
fig. 4 is a related diagram after processing by adopting the adaspact technology provided by the embodiment of the present invention;
fig. 5 is a simulation diagram after processing by the aspact technique according to the embodiment of the present invention;
fig. 6 is a simulation diagram after processing by using the BOC signal side peak eliminating method provided in the embodiment of the present invention.
Detailed Description
The technical solutions in the embodiments of the present invention will be described below with reference to the drawings in the embodiments of the present invention.
In order to solve the problem that the side peak of a BOCs (m, n) signal cannot be effectively eliminated when the frequency does not correspond in the existing aspect technology, the embodiment of the invention provides a side peak elimination method of a BOC signal.
Example 1
Referring to fig. 1, an embodiment of the present invention provides a method for eliminating an edge peak of a BOC signal, including:
s110, constructing a generalized spread spectrum symbol waveform expression BOS (m, n) of the BOC modulation signal;
s120, constructing two local reference signals in a local code generator, respectively carrying out correlation operation on the two local reference signals and the BOC signal received by a receiver, and solving to obtain a BOC signal autocorrelation function and a BOC/BOC-s signal cross-correlation function;
s130, solving the sum of the absolute value of the autocorrelation function of the BOC signal and the absolute value of the cross-correlation function of the BOC/BOC-s signal to obtain the correlation function of the BOC modulation signal without the side peak.
Specifically, the method aims at eliminating the secondary peak of the BOC (n, n) signal, and has the following advantages: (1) the cross-correlation function RBOC/PRN (tau) with PRN does not need to be calculated, so that the sliding correlation process of the BOC sequence and the PRN code can be reduced; (2) in the algorithm, only RBOC and module taking of one RBOC are used, and then accumulation is performed, 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 so as to achieve the aim of quickly and effectively capturing signals and improve the accuracy of signal tracking; the second autocorrelation function constructed by the invention can eliminate the secondary peak to keep the main peak; compared with the existing aspect, the method for eliminating the side peak of the BOC signal provided by the embodiment of the invention can effectively eliminate the side peak of the BOCs (m, n) signal when the frequency does not correspond.
Further, the expression of the cross-correlation function of the BOC/BOC-s signal is:
BOC-s(m,n)＝sign(sin(t+180)；
in the formula, 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:
RASPeCTup(τ)＝RB(τ)+|R-B(τ)|
wherein is the BOC signal autocorrelation function; 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 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 denotes 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 phi is 0 deg. and 90 deg. respectively, the BOC signals represent Sine BOC (Sine-BOC) signals and cosine BOC signals, respectively; according to BOC signal expression (1), the BOC signal is expressed in the form of BOC (fs, fc), where: the subcarrier frequency fs of the BOC signal is mx 1.023MHz, the spreading code rate fc is nx1.023 MHz, and M and n are integer multiples of the reference frequency, so that the modulation order M of the BOC signal is 2M/n, and the BOC signal expression may also be expressed as BOC (M, n).
It should be noted that, referring to fig. 2, by summing the autocorrelation function of the BOCs (m, n) signal and the absolute value of the BOC-s (m, n) signal (BOC-s (m, n) is the cross-correlation function of sign (sin (t + 180)) subcarrier), two secondary peaks of the autocorrelation function of the BOCs (m, n) signal are completely eliminated, and the BOCs (m, n) signal has better multipath interference resistance and thermal noise resistance.
Aiming at the elimination of the secondary peak of the BOC (n, n) signal, the invention has the following advantages: (1) the cross-correlation function RBOC/PRN (tau) with PRN does not need to be calculated, so that the sliding correlation process of the BOC sequence and the PRN code can be reduced; (2) in the algorithm, only RBOC and module taking of one RBOC are used, and then accumulation is performed, 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 so as to achieve the aim of quickly and effectively capturing signals and improve the accuracy of signal tracking; the second autocorrelation function constructed by the invention can eliminate the secondary peak to keep the main peak; compared with the existing aspect, the method for eliminating the side peak of the BOC signal provided by the embodiment of the invention can effectively eliminate the side peak of the BOCs (m, n) signal when the frequency does not correspond.
Example 2
On the basis of the above embodiment 1, the method for eliminating the side peak of the BOC signal provided in the embodiment of the present invention is simulated.
Simulating the B1C signal; sampling frequency: 16.369 Mhz; intermediate frequency 9.208 Mhz;
the correlation of the simulation data with the spreading codes is shown in fig. 3;
as can be seen from fig. 3, the correlation diagram of the simulation data and the spreading code has a certain error. The cross-correlation function of the simulated data does not have a zero at the peak of the sub-correlation. Resulting in a reduction or enhancement of the signal peak.
Please refer to fig. 4 for a simulation diagram obtained by adopting the AdASPect technique; FIG. 4 shows the following formula: radASPeCT(τ)＝RB(τ)+|RB/P(τ) | processed graph.
Please refer to fig. 5, fig. 5 is a simulation diagram after processing by the aspact technology; the processing formula of the ASPect technology is as follows:
referring to fig. 6, fig. 6 is a simulation diagram of the BOC signal processed by the method for eliminating the side peak according to the embodiment of the present invention, where the processing formula is RASPeCTup(τ)＝RB(τ)+|R-B(τ)|。
In summary, fig. 4-6 show simulation diagrams of three kinds of autocorrelation edge elimination methods. It can be seen from the figure 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 peak property of the autocorrelation.
When Aspect is used for capturing, only when frequency corresponds, the correlation function is good, and the correlation function is not good at other times; affecting the capture accuracy. Comparing fig. 4 and 5 with fig. 6, respectively, it can be seen that the direct capture method (direct extraction method) is better than the aspect method.
Aiming at the elimination of the secondary peak of a BOC (n, n) signal, firstly, a cross-correlation function RBOC/PRN (tau) with PRN does not need to be calculated, and the sliding correlation process of a BOC sequence and a PRN code can be reduced; secondly, only RBOC and module taking of one RBOC are used in the algorithm, and then accumulation is carried out, so that the algorithm is simple in structure 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 so as to achieve the aim of quickly and effectively capturing signals and improve the accuracy of signal tracking; the second autocorrelation function constructed by the invention can eliminate the secondary peak to keep the main peak; compared with the existing aspect, the method for eliminating the side peak of the BOC signal provided by the embodiment of the invention can effectively eliminate the side peak of the BOCs (m, n) signal when the frequency does not correspond.
It is noted that, herein, relational terms such as first and second, and the like may be 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. Also, 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 an … …" does not exclude the presence of other identical elements in a process, method, article, or apparatus that comprises the element.
All the embodiments in the present specification are described in a related manner, and the same and similar parts among the embodiments may be referred to each other, and each embodiment focuses on the differences from the other embodiments. The above description is only for the preferred embodiment of the present invention, and is not intended to limit the scope of the present invention. Any modification, equivalent replacement, or improvement made within the spirit and principle of the present invention shall fall within the protection scope of the present invention.
Claims (5)
1. A method for side peak cancellation of a BOC signal, comprising:
constructing a generalized spread spectrum symbol waveform expression BOS (m, n) of the BOC modulation signal;
constructing two local reference signals at a local code generator, respectively carrying out correlation operation on the two local reference signals and the BOC signal received by a receiver, and solving to obtain a BOC signal autocorrelation function and a BOC/BOC-s signal cross-correlation function;
and solving the sum of the absolute value of the autocorrelation function of the BOC signal and the absolute value of the cross-correlation function of the BOC/BOC-s signal to obtain the correlation function of the BOC modulation signal without the side peak.
2. The method of claim 1, wherein the cross-correlation function of the BOC/BOC-s signal is expressed as:
BOC-s(m,n)＝sign(sin(t+180)；
in the formula, BOC-s (m, n) is the subcarrier of BOS (m, n), and t is time.
3. The method of claim 1, wherein the expression of the correlation function of the BOC modulation signal without the side peak is:
RASPeCTup(τ)＝RB(τ)+|R-B(τ)|
wherein is the BOC signal autocorrelation function; is the cross-correlation function of the BOC/BOC-s signal.
4. The method 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 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 denotes 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.
5. 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; according to BOC signal expression (1), the BOC signal is expressed in the form of BOC (fs, fc), where: the subcarrier frequency fs of the BOC signal is mx 1.023MHz, the spreading code rate fc is nx1.023 MHz, and M and n are integer multiples of the reference frequency, so that the modulation order M of the BOC signal is 2M/n, and the BOC signal expression may also be expressed as BOC (M, n).
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| CN116338740A (en) * | 2023-05-30 | 2023-06-27 | 中国民航大学 | Beidou B1C signal non-fuzzy capture calculation method based on PCF reconstruction |
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| 陈适;张天骐;周圣;易琛;: "一种新的BOC(n, n)型信号的精确捕获算法", 计算机应用研究, no. 03, pages 38 - 41 * |
Cited By (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN113589336A (en) * | 2021-09-27 | 2021-11-02 | 中国人民解放军国防科技大学 | BOC signal non-fuzzy capture method based on side peak elimination |
| CN113589336B (en) * | 2021-09-27 | 2022-01-04 | 中国人民解放军国防科技大学 | BOC signal non-fuzzy capture method based on side peak elimination |
| CN116338740A (en) * | 2023-05-30 | 2023-06-27 | 中国民航大学 | Beidou B1C signal non-fuzzy capture calculation method based on PCF reconstruction |
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