CN105116426B - One kind being based on time domain raised cosine pulse three-level symbol offset carrier modulating method - Google Patents
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Abstract
It is a kind of based on time domain raised cosine pulse three-level symbol offset carrier modulating method it is an object of the invention to propose, realize that process is as follows：Spread spectrum code frequency f is determined firstc, sub-carrier frequencies fsc, sinusoidal or cosine phase subcarrier modulation modes and time domain raised cosine pulse time width duty ratio ρ, construct a kind of based on time domain raised cosine pulse three-level symbol is sinusoidal or cosine phase sub-carrier signal.Then navigation signal is spread using pseudo-random sequence, then carries out subcarrier-modulated, gained signal is finally carried out to the carrier modulation of quadrature branch.The signal that this method generates is permanent width, can be with the splitting degree of the main lobe of flexible modulation power spectrum signal and secondary lobe so that navigation signal has good code tracking performance, anti-interference and ability of anti-multipath and other system signal compatibilities.The appearance for avoiding significantly secondary lobe simultaneously, improves frequency spectrum efficiency, especially suitable for the urban satellite navigation service for using the power and bandwidth of efficient non-linear amplifiers limited.
Description
Technical field：
The present invention relates to a kind of implementation methods of satellite navigation system signals, and in particular to one kind being based on time domain raised cosine arteries and veins
Rush three-level symbol offset carrier modulating method.
Background technology：
Navigation Signal System is in the position of most critical in the Top-layer Design Method of satellite navigation system, and the quality of performance is straight
Navigation and the positioning performance of decision systems are connect, navigation signal modulation is the most important thing in Navigation Signal System design.In order to make
Multi-signal can preferably share Global Navigation Satellite System (Global Navigation Satellite System,
GNSS limited frequency), while the range accuracy and interference free performance of signal are further increased, new signal modulation mode is continuous
It presents.Binary offset carrier (Binary Offset Carrier, BOC (n, m)) is a kind of to disclosure satisfy that the new of above-mentioned requirements
Type modulation system, wherein spread spectrum code frequency is m × 1.023MHz, sub-carrier frequencies are n × 1.023MHz, and its implementation refers to
Document Betz.J, " The Offset Carrier Modulation for GPS Modernization, " ION NTM, San
Diego,CA,January 25-27,1999.
Betz.J is at document " Binary Offset Carrier Modulations for Radionavigation, "
Navigation:Journal of the Institute of Navigation,vol.48,No.4,Winter 2001-
It is pointed out in 2002., in the same band, occupies same band and do the item of same simple designs to signal projector and receiver
Under part, the performance ratio BPSK modulated signals of BOC modulated signals are more superior.BOC modulation at present have been widely used for GPS,
In the Global Satellite Navigation System such as Galileo and Compass.
With being continuously increased for satellite navigation signals quantity, frequency spectrum resource is nervous, and signal performance is improved under finite bandwidth
And the interference reduced between adjacent signals becomes current research emphasis.The BOC modulator approaches provided in article can cause band outer
Significantly secondary lobe makes power amplification efficiency reduce, and the code tracking performance of signal, anti-multipath and anti-interference ability are still not ideal enough, for
Above-mentioned deficiency, the present invention propose a kind of based on time domain raised cosine pulse three-level symbol offset carrier modulating method (Time Domain
Raised Cosine Three-levels Offset Carrier, TDRC-TOC (n, m, ρ)), wherein sub-carrier signal is desirable
Value is ± 1 and 0, and ± 1 signal waveform is indicated by time domain raised cosine pulse, and this method is not only that the design of navigation signal provides
More selections, and power spectrum significantly secondary lobe can be effectively reduced, reduce the interference of the signal between neighbour, improves navigation signal
Power efficiency, while better code tracking performance, anti-multipath and anti-interference ability had both been had concurrently, to promoting the navigation of navigation system
There is important meaning with stationkeeping ability.
Invention content：
It is an object of the invention to propose it is a kind of can with the splitting degree of the main lobe of flexible modulation power spectrum signal and secondary lobe,
So that navigation signal has good code tracking performance, anti-interference and ability of anti-multipath and other system signal compatibilities
Based on time domain raised cosine pulse three-level symbol offset carrier modulating method.
The object of the present invention is achieved like this：
(1) spreading code cycle T is determined firstc, subcarrier cycle Tsc, time domain raised cosine pulse time width duty ratio ρ, just
String or cosine phase subcarrier modulation modes are constructed and are carried based on time domain raised cosine pulse three-level symbol sine or cosine phase
Wave signal, is embodied as：
Based on time domain raised cosine pulse three-level symbol sinusoidal phase sub-carrier signal qs(t, ρ) is：
Based on time domain raised cosine pulse three-level symbol cosine phase sub-carrier signal qc(t, ρ) is：
Wherein Pτ(t, ρ) is the time domain raised cosine pulse shape that time width is ρ τ, i.e.,
Sign (t) is sign function, i.e.,
(2) according to determining spreading code cycle TcWith subcarrier cycle Tsc, navigation signal is carried out using pseudo-random sequence
Obtained spread-spectrum signal and sinusoidal or cosine phase sub-carrier signal determined by step (1) are then carried out time domain phase by spread spectrum
Multiply, obtains one kind based on time domain raised cosine pulse three-level symbol sine or cosine phase offset carrier baseband modulation signal, specifically
It is expressed as：
Based on time domain raised cosine pulse three-level symbol sinusoidal phase offset carrier baseband modulation signal STDRC-TOCs(n,m,ρ)(t)
For：
Based on time domain raised cosine pulse three-level symbol cosine phase offset carrier baseband modulation signal STDRC-TOCc(n,m,ρ)(t)
For：
Wherein d (t) is navigation signal data channel information；alIt is first of spreading code of pseudorandom spreading sequence；L is puppet
The chip lengths of random sequence；Rect (t) is rectangle gate function, i.e., OrOr
(3) one kind described in step (2) is based on time domain raised cosine pulse three-level symbol sine or cosine phase offset carries
Wave baseband modulation signal carries out the carrier modulation of quadrature branch, finally obtains described one kind and being based on time domain raised cosine pulse three-level
Symbol sine or cosine phase offset carrier (boc) modulated signals, are embodied as：
Based on time domain raised cosine pulse three-level symbol sinusoidal phase offset carrier (boc) modulated signals MTDRC-TOCs(n,m,ρ)(t) it is：
Based on time domain raised cosine pulse three-level symbol cosine phase offset carrier (boc) modulated signals MTDRC-TOCc(n,m,ρ)(t) it is：
Wherein d (t) is navigation signal data channel information；P (t) is pilot channel information, and value is complete+1 or -1；alIt is
First of spreading code of in-phase branch pseudorandom spreading sequence；bkIt is k-th of spreading code of quadrature branch pseudorandom spreading sequence；
fcarIt is carrier frequency.
(4) by the one kind obtained in step (3) be based on time domain raised cosine pulse three-level symbol offset carrier (boc) modulated signals into
The Performance Evaluation of row navigation signal, if the code tracking precision of signal, anti-multipath and compatibility are unsatisfactory for designed navigation system
Performance requirement and constraints, then return to step (1), redefines spreading code cycle Tc, subcarrier cycle Tsc, sinusoidal or cosine
Phase subcarrier modulation system and time domain raised cosine pulse time width duty ratio ρ.
The present invention can also include：
The spread spectrum code frequency fcWith sub-carrier frequencies fscValue be 1.023MHz integral multiple.
It is described based on time domain raised cosine pulse three-level symbol sinusoidal phase offset carrier baseband modulation signal power spectrum
Spend GTDRC-TOCs(n,m,ρ)(f) it is：
It is described based on time domain raised cosine pulse three-level symbol cosine phase offset carrier baseband modulation signal power spectrum
Spend GTDRC-TOCc(n,m,ρ)(f) it is：
Wherein h is modulation index, i.e.,Or
The main feature of the method for the present invention is as follows：
(1) power efficiency is high：The power spectrum side lobe attenuation speed of modulated signal of the present invention is faster and amplitude is lower, can quantity set
Moderate higher.
(2) tracking accuracy is high：In receiver bandwidth, the power spectrum of modulated signal of the present invention has splitting ability and amplitude
It is larger, under conditions of Bandwidth-Constrained, there is higher Gabor bandwidth and lower code tracking error.
(3) ability of anti-multipath is strong：Modulated signal of the present invention has permanent envelope trait, particularly suitable for using efficient non-linear
The limited the urban satellite navigation service of the power and bandwidth of amplifier, multipath error envelope decay faster and amplitude is lower.
(4) compatibility is high：The power spectrum side lobe attenuation speed of modulated signal of the present invention is faster and amplitude is lower, to same frequency range
Other navigation signals interference it is smaller.
(5) flexibility of Design of Signal is high：Time domain raised cosine pulse duty ratio of time in sub-carrier signal is adjusted flexibly, is
The design of navigation signal provides more choices, and by selected parameter appropriate, can be with flexible modulation power spectrum signal
The splitting degree of main lobe and secondary lobe.
Description of the drawings
Fig. 1 is TDRC-TOC signal modulations model and implementation method flow chart；
Fig. 2 is TDRC-TOC channel distortion experienced signal waveforms；
Fig. 3 is power spectral density of the TDRC-TOC signals embodiment at different time domain raised cosine pulse duty ratio of time ρ；
Power spectral densities of the Fig. 4 by traditional BOC and the present invention TDRC-TOC embodiment signals carried；
Gabor bandwidth of the Fig. 5 by traditional BOC and the present invention TDRC-TOC embodiment signals carried；
Code tracking precision of the Fig. 6 by traditional BOC and the present invention TDRC-TOC embodiment signals carried；
Multipath error envelopes of the Fig. 7 by traditional BOC and the present invention TDRC-TOC embodiment signals carried；
Average multipath errors of the Fig. 8 by traditional BOC and the present invention TDRC-TOC embodiment signals carried.
Specific implementation mode：
The invention will be further described with reference to the accompanying drawings and examples：
Fig. 1 and Fig. 2 is respectively the TDRC-TOC signal modulation models that the present invention is carried, implementation method flow chart and subcarrier
Signal waveform, each symbol in wherein Fig. 1 are defined as follows：
d(t)：Navigation signal data channel information；
p(t)：Pilot channel information；
al：The pseudorandom spread spectrum code sequence of in-phase branch；
bl：The pseudorandom spread spectrum code sequence of quadrature branch；
rec(t)：Rectangle gate function；
qs(t,ρ)：Described one kind being based on time domain raised cosine pulse three-level symbol sinusoidal phase sub-carrier signal waveform；
qc(t,ρ)：Described one kind being based on time domain raised cosine pulse three-level symbol cosine phase sub-carrier signal waveform；
MTDRC-TOC(t,ρ)：Described one kind being based on time domain raised cosine pulse three-level symbol offset carrier (boc) modulated signals；
fc：Spread code frequency；
fcar：Carrier frequency；
fsc：Sub-carrier frequencies；
In conjunction with Fig. 1, implementation method of the present invention is as follows：
(1) spread spectrum code frequency f is determined firstcOr spreading code cycle Tc(frequency and period, inverse can arbitrarily determine wherein each other
One parameter), sub-carrier frequencies fscOr subcarrier cycle Tsc, time domain raised cosine pulse time width duty ratio ρ and sine or
Cosine phase subcarrier modulation modes are constructed one kind and are carried based on time domain raised cosine pulse three-level symbol sine or cosine phase
Wave signal, is embodied as：
Based on time domain raised cosine pulse three-level symbol sinusoidal phase sub-carrier signal qs(t, ρ) is：
Based on time domain raised cosine pulse three-level symbol cosine phase sub-carrier signal qc(t, ρ) is：
Wherein Pτ(t, ρ) is the time domain raised cosine pulse shape that time width is ρ τ, i.e.,
Sign (t) is sign function, i.e.,
(2) according to determining spread spectrum code frequency fcOr spreading code cycle TcWith sub-carrier frequencies fscOr subcarrier cycle Tsc,
Navigation signal is spread using pseudo-random sequence, then by sinusoidal determined by obtained spread-spectrum signal and step (1) or
Cosine phase sub-carrier signal carries out time domain multiplication, obtains a kind of based on time domain raised cosine pulse three-level symbol sine or cosine phase
Position offset carrier baseband modulation signal, is embodied as：
Based on time domain raised cosine pulse three-level symbol sinusoidal phase offset carrier baseband modulation signal STDRC-TOCs(n,m,ρ)(t)
For：
Based on time domain raised cosine pulse three-level symbol cosine phase offset carrier baseband modulation signal STDRC-TOCc(n,m,ρ)(t)
For：
Wherein d (t) is navigation signal data channel information；alIt is first of spreading code of pseudorandom spreading sequence；L is puppet
The chip lengths of random sequence；Rect (t) is rectangle gate function, i.e., OrOr
(3) one kind described in step (2) is based on time domain raised cosine pulse three-level symbol sine or cosine phase offset carries
Wave baseband modulation signal carries out the carrier modulation of quadrature branch, finally obtains described one kind and being based on time domain raised cosine pulse three-level
Symbol sine or cosine phase offset carrier (boc) modulated signals, are embodied as：
Based on time domain raised cosine pulse three-level symbol sinusoidal phase offset carrier (boc) modulated signals MTDRC-TOCs(n,m,ρ)(t) it is：
Based on time domain raised cosine pulse three-level symbol cosine phase offset carrier (boc) modulated signals MTDRC-TOCc(n,m,ρ)(t) it is：
Wherein d (t) is navigation signal data channel information；P (t) is pilot channel information, and value is complete+1 or -1；alIt is
First of spreading code of in-phase branch pseudorandom spreading sequence；bkIt is k-th of spreading code of quadrature branch pseudorandom spreading sequence；
fcarIt is carrier frequency.
(4) by the one kind obtained in step (3) be based on time domain raised cosine pulse three-level symbol offset carrier (boc) modulated signals into
The Performance Evaluation of row navigation signal, if the code tracking precision of signal, anti-multipath and compatibility are unsatisfactory for designed navigation system
Performance requirement and constraints, then return to step (1), redefines spread spectrum code frequency fcOr spreading code cycle Tc, sub-carrier frequencies
fscOr subcarrier cycle Tsc, sinusoidal or cosine phase subcarrier modulation modes and time domain raised cosine pulse time width duty
Compare ρ.
The spread spectrum code frequency fcWith sub-carrier frequencies fscValue be 1.023MHz integral multiple.
It is described based on time domain raised cosine pulse three-level symbol sinusoidal phase offset carrier baseband modulation signal power spectrum
Spend GTDRC-TOCs(n,m,ρ)(f) it is：
It is described based on time domain raised cosine pulse three-level symbol cosine phase offset carrier baseband modulation signal power spectrum
Spend GTDRC-TOCc(n,m,ρ)(f) it is：
Wherein h is modulation index, i.e.,Or
Fig. 3 is the TDRC-TOC signals embodiment of the invention carried in different time domain raised cosine pulse time width duty ratio
Power spectral density under ρ, as seen from the figure, by the change of time domain raised cosine pulse time width duty ratio ρ, we can be flexible
Change the separation degree of power spectrum signal main lobe, and with the increase of ρ, the main lobe concentration degree of power spectrum can higher.Therefore, in order to
It is preferably compatible with existing navigation signal, realize better navigator fix performance, this undoubtedly increases the spirit of navigation signal design
Activity.
The power spectral density of TDRC-TOC embodiment signals that Fig. 4 is carried by traditional BOC and the present invention, as shown in Figure 4,
Near zero-frequency, TDRC-TOCs (5,2,0.9) signal has lower power spectral amplitude, can show to believe with existing navigation
Number BPSK is preferably compatible, while near ± 10MHz, and TDRC-TOCs (5,2,0.9) signal has higher power, this
Help to improve the tracking accuracy and ability of anti-multipath of navigation signal.In high frequency section, TDRC-TOCs (5,2,0.9) signal
Side lobe attenuation speed is faster and amplitude is lower, not only improves the power efficiency of signal, and reduce the signal between same frequency range neighbour
Interference.
The Gabor bandwidth for the TDRC-TOC embodiment signals that Fig. 5 and Fig. 6 is respectively traditional BOC and the present invention is carried and
Code tracking precision, loop bandwidth BL=1Hz.As shown in Figure 5, when receiver bandwidth is within the scope of 10-30MHz, the present invention
TDRC-TOCs (5,2,0.9) the signal Gabor bandwidth carried is significantly greater than BOCs (5,2,0.9) signal.For currently used
For 24MHz commercial receivers, TDRC-TOCs (5,2,0.9) signal that the present invention is carried has higher Gabor bandwidth, energy
Enough show better tracking performance.Meanwhile by Fig. 6 it can also be seen that TDRC-TOCs (5,2, the 0.9) tools that the present invention is carried
There is lower code tracking error, higher tracking accuracy can be obtained.
Fig. 7 and Fig. 8 is respectively the multipath error envelope for the TDRC-TOC embodiment signals that traditional BOC and the present invention are carried
With average multipath error curve.In emulation, selection related interval be 0.1chip, receiver bandwidth 24MHz, multipath signal with
The Amplitude Ratio MDR of direct signal is -6dB.From figure 7 it can be seen that TDRC-TOCs (5,2,0.9) signal phase that the present invention is carried
For BOCs (5,2) signal have smaller multipath error amplitude, and with multipath signal with respect to direct signal it is additional when
The increase prolonged, the multipath error curve of TDRC-TOCs (5,2,0.9) signal have the faster rate of decay, can faster into
Row convergence, while Fig. 8 shows that the maximum of TDRC-TOCs (5,2,0.9) signal is averaged multipath error amplitude less than BOCs (5,2) letters
Number, therefore, the more traditional BOC signals of TDRC-TOCs (5,2,0.9) signal embodiment that the present invention is carried have very strong anti-multipath
Ability.
In conclusion the present invention is not limited to the above embodiments, what is described in the above embodiment and the description is only say
Bright the principle of the present invention, one kind that the present invention is carried are based on time domain raised cosine pulse three-level symbol offset carrier modulating method, make
Navigation signal has better code tracking performance, anti-interference, anti-multipath and the compatibility with other system signals, and effectively
Inhibit power spectrum significantly secondary lobe and to improve the frequency efficiency of navigation signal, improves the flexible of navigation signal Waveform Design
Property, provide a new selection for the signal waveform design of China's future Compass satellite navigation system.
Claims (1)
1. one kind being based on time domain raised cosine pulse three-level symbol offset carrier modulating method, it is characterised in that：Include the following steps：
(1) spreading code cycle T is determined firstc, subcarrier cycle Tsc, time domain raised cosine pulse time width duty ratio ρ, it is sinusoidal or
Cosine phase subcarrier modulation modes are constructed based on time domain raised cosine pulse three-level symbol sine or cosine phase subcarrier letter
Number, it is embodied as：
Based on time domain raised cosine pulse three-level symbol sinusoidal phase sub-carrier signal qs(t, ρ) is：
Based on time domain raised cosine pulse three-level symbol cosine phase sub-carrier signal qc(t, ρ) is：
Wherein Pτ(t, ρ) is the time domain raised cosine pulse shape that time width is ρ τ, i.e.,
Sign (t) is sign function, i.e.,
(2) according to determining spreading code cycle TcWith subcarrier cycle Tsc, navigation signal is spread using pseudo-random sequence,
Then sinusoidal or cosine phase sub-carrier signal determined by obtained spread-spectrum signal and step (1) is subjected to time domain multiplication, obtained
It is specific to indicate to one kind based on time domain raised cosine pulse three-level symbol sine or cosine phase offset carrier baseband modulation signal
For：
Based on time domain raised cosine pulse three-level symbol sinusoidal phase offset carrier baseband modulation signal STDRC-TOCs(n,m,ρ)(t) it is：
Based on time domain raised cosine pulse three-level symbol cosine phase offset carrier baseband modulation signal STDRC-TOCc(n,m,ρ)(t) it is：
Wherein d (t) is navigation signal data channel information；alIt is first of spreading code of pseudorandom spreading sequence；L is pseudorandom sequence
The chip lengths of row；Rect (t) is rectangle gate function, i.e., OrOr
(3) one kind described in step (2) is based on time domain raised cosine pulse three-level symbol sine or cosine phase offset carrier base
The carrier modulation that quadrature branch is carried out with modulated signal finally obtains described one kind and being based on time domain raised cosine pulse three-level symbol
Sinusoidal or cosine phase offset carrier (boc) modulated signals, are embodied as：
Based on time domain raised cosine pulse three-level symbol sinusoidal phase offset carrier (boc) modulated signals MTDRC-TOCs(n,m,ρ)(t) it is：
Based on time domain raised cosine pulse three-level symbol cosine phase offset carrier (boc) modulated signals MTDRC-TOCc(n,m,ρ)(t) it is：
Wherein d (t) is navigation signal data channel information；P (t) is pilot channel information, and value is complete+1 or -1；alIt is same phase
First of spreading code of branch pseudorandom spreading sequence；bkIt is k-th of spreading code of quadrature branch pseudorandom spreading sequence；fcarIt is
Carrier frequency；
(4) one kind obtained in step (3) is led based on time domain raised cosine pulse three-level symbol offset carrier (boc) modulated signals
The Performance Evaluation of boat signal, if the code tracking precision of signal, anti-multipath and compatibility are unsatisfactory for designed navigation system performance
Demand and constraints, then return to step (1), redefines spreading code cycle Tc, subcarrier cycle Tsc, sinusoidal or cosine phase
Subcarrier modulation modes and time domain raised cosine pulse time width duty ratio ρ；
The spread spectrum code frequency fcWith sub-carrier frequencies fscValue be 1.023MHz integral multiple；
It is described based on time domain raised cosine pulse three-level symbol sinusoidal phase offset carrier baseband modulation signal power spectral density
GTDRC-TOCs(n,m,ρ)(f) it is：
It is described based on time domain raised cosine pulse three-level symbol cosine phase offset carrier baseband modulation signal power spectral density
GTDRC-TOCc(n,m,ρ)(f) it is：
Wherein h is modulation index, i.e.,Or
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| US7948929B1 (en) * | 2009-05-18 | 2011-05-24 | Itt Manufacturing Enterprises, Inc. | System for generating constant envelope simultaneous data and ranging waveform with anti-jam properties |
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