CN102645657A - Same frequency point multi-way signal constant envelope combining transmitting method and circuit on navigational satellite - Google Patents

Same frequency point multi-way signal constant envelope combining transmitting method and circuit on navigational satellite Download PDF

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CN102645657A
CN102645657A CN2012101290394A CN201210129039A CN102645657A CN 102645657 A CN102645657 A CN 102645657A CN 2012101290394 A CN2012101290394 A CN 2012101290394A CN 201210129039 A CN201210129039 A CN 201210129039A CN 102645657 A CN102645657 A CN 102645657A
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CN102645657B (en
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张晓明
姚铮
崔晓伟
陆明泉
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Tsinghua University
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Abstract

The invention relates to a same frequency point multi-way signal constant envelope combining transmitting method and a circuit on navigational satellite. N ways of binary system input signals requiring multiplexing on the navigational satellite are processed through an intermodulation signal generator to obtain intermodulation product signals of any two ways of signals and any three ways of signals till any N ways of signals in the N ways of signals and direct current signals. Each way of signals are amplified in specific times aiming at the way and then multiplied with a same-phase carrier branch circuit. Each way of signals are amplified in another specific times aiming at the way and then multiplied with an orthogonal carrier branch circuit. Finally, all the signals obtained through the multiplying are additionally combined to obtain final output signals with constant envelope characteristics. Distortion of amplitude/amplitude and amplitude/phase is avoided accordingly, interference of any way of signals participating in constant envelope combining in the constant envelope process can be evaluated, and the method and the circuit are easy to configure and flexible in achievement.

Description

Synthesize launching technique and circuit with the permanent envelope of frequency multiple signals on the Navsat
Technical field
The invention belongs to the satellite navigation technical field, be specifically related on a kind of Navsat with synthetic launching technique of the permanent envelope of frequency multiple signals and circuit.
Background technology
For present GNSS system in the world, along with application demand constantly enlarges, the service that need provide is increasing.Yet the frequency spectrum resource of satellite navigation system is limited, and modern GNSS system can launch a plurality of navigation signals usually on same frequency, to improve the utilization ratio of frequency spectrum resource.
Improved the utilization ratio of frequency spectrum with a plurality of signals of emission on the frequency; Yet when improving spectrum utilization efficiency; Should be the basis with the performance that does not influence every kind of signal, but in the concrete application of reality, but produce new problem with the idea of the many signals of frequency.This problem comes from the high power amplifier on the satellite.If because all use a high power amplifier separately for each signal; Because high power amplifier is that volume and weight is all comparatively huge; When number of signals more for a long time, this implementation increases the useful load on the satellite greatly, makes satellite platform design become unusual complicated.
To this problem, need carry out multiplexingly to the high power amplifier on the star, promptly a plurality of signals are shared a high power amplifier.A very important problem is how these signals of effective combination can bring good performance to ground.For the use high power amplifier of maximal efficiency, high power amplifier should be operated near the saturation point of nonlinear area.Yet when high power amplifier was near saturation point, if input signal does not have constant envelope, output component can produce distortion such as amplitude modulation(PAM) and width of cloth phase transformation so.Under the single-signal situation with frequency, because satellite navigation signals itself just uses the modulation system of BPSK-R, its signal envelope itself is exactly constant.Therefore can not run into these problems.Increase yet work as signal number, the unlike signal component need make up, and the envelope of composite signal can produce certain fluctuating.When high power amplifier is operated in saturation point, can produce the distortion of width of cloth phase so, the performance of receiving end is caused very big influence.
Summary of the invention
In order to overcome the deficiency of above-mentioned prior art; The object of the present invention is to provide on a kind of Navsat with synthetic launching technique of the permanent envelope of frequency multiple signals and circuit; Can make the combination of a plurality of signals have the character of permanent envelope, thereby avoid amplitude/amplitude, amplitude/phase distortion.
To achieve these goals, the technical scheme of the present invention's employing is:
With the synthetic launching technique of the permanent envelope of frequency multiple signals, step is following on the Navsat:
Need multiplexing binary input signal for the N road on the Navsat; Through the intermodulation signal generator; Obtain in the signal of N road the intermodulation product signal of the intermodulation product signal of two paths of signals arbitrarily, any three road signals, until the intermodulation product signal of N road signal arbitrarily, and direct current signal;
To the N road signal of input, each road intermodulation product signal and direct current signal of generation, amount to 2 NThe road signal is directed against the amplification of the specific factor on this road with each road signal, multiplies each other with homophase carrier wave branch road then;
To the N road signal of input, each road intermodulation product signal and direct current signal of generation, amount to 2 NThe road signal is directed against the amplification of the another one specific factor on this road with each road signal, multiplies each other with the quadrature carrier branch road then;
All signal plus that obtain after at last twice being multiplied each other are synthetic, promptly obtain the final output signal with permanent envelope trait.
For the phase mapping expression condition of given N road signal multiplexing, at first utilize s-matrix to calculate one group of complex coefficient, for N road signal, every road signal has+1 with-1 two kind of value mode, N road signal common 2 NPlant the value possibility, for 2 NAny one value in kind of the value is all confirmed the value of corresponding each rank intermodulation product signal thus, promptly 2 NKind maybe value, N road signal, each rank intermodulation signal and direct current signal from 2 rank to the N rank are lined up in order, have 2 NThe road as delegation, is lined up square formation with each value, constitutes 2 thus N* 2 NThe s-matrix of dimension, its building method is following:
(1) for preceding N row, with integer 0~(2 N-1) adopts N position binary representation, be placed into the 1st row to 2 NOK, the N number of the N position binary representation of the corresponding integer of top n number that wherein m is capable (m-1), then will be wherein all 0 change into and be-1 constituted preceding N and has been listed as to this;
(2) ensuing
Figure BDA0000158128770000031
row adopt the 1st all second order intermodulation products of being listed as in the N row to constitute, and promptly take out the 1st, 2 row successively; 1st, 3 row ..., the 1st, N row; 2nd, 3 row; 2nd, 4 row ..., the 2nd, N row; Go down successively, up to taking out N-1, N row, and two row that will at every turn take out carry out corresponding element and multiply each other and constitute new row; Insert the new row of s-matrix, above-mentioned all second order intermodulation products have constituted
Figure BDA0000158128770000032
individual new row altogether;
(3) ensuing
Figure BDA0000158128770000033
row adopt the 1st all third order intermodulation products of being listed as in the N row to constitute, and promptly take out the 1st, 2,3 row successively; 1st, 2,4 row ..., the 1st, 2, N row; 2nd, 3,4 row, the 2nd, 3,5 row ... 2nd, 3, N row;, go down successively, up to taking out N-2; N-1, N row; And three row that will at every turn take out carry out corresponding element and multiply each other and constitute new row, insert the new row of s-matrix, and above-mentioned all third order intermodulation products have constituted
Figure BDA0000158128770000034
individual new row altogether;
......
(N) ensuing
Figure BDA0000158128770000035
Row adopt the 1st all N rank intermodulation products of being listed as in the N row to constitute, promptly take out the 1st, 2 ..., N row, and the N row that take out are carried out corresponding element multiply each other and constitute new row, insert the new row of s-matrix, above-mentioned all third order intermodulation products have constituted altogether Individual new row so far, construct preceding 2 of s-matrix N-1 row;
(N+1), adopt complete 1 to insert for last row of s-matrix;
So far, accomplished the structure of s-matrix;
Obtain corresponding amplification coefficient according to following computing formula then:
C → = S - 1 · exp ( j · θ → )
a → = real ( C → ) = S - 1 · cos ( θ → )
b → = imag ( C → ) = S - 1 · sin ( θ → )
Wherein,
Figure BDA00001581287700000310
Expression complex coefficient vector, totally 2 NIndividual, j representes imaginary unit,
Figure BDA00001581287700000311
Represent one group of phase vectors,
Figure BDA00001581287700000312
Expression is by the complex coefficient vector
Figure BDA00001581287700000313
The vector that constitutes of real part,
Figure BDA00001581287700000314
Expression is by the complex coefficient vector The vector that constitutes of imaginary part;
The amplification coefficient of each signal that the real part conduct of each complex coefficient and homophase carrier wave branch road multiply each other, and the amplification coefficient of each signal that the imaginary part conduct of each complex coefficient and quadrature carrier branch road multiply each other, the corresponding relation of coefficient and signal is following:
(1) the corresponding N of top n coefficient road input signal;
(2) ensuing individual coefficient, the signal that all the second order intermodulation products in the corresponding N input signal constitute, order is followed successively by the intermodulation product signal of the 1st, 2 signals; 1st, the intermodulation product signal of 3 signals;, the 1st, the intermodulation product signal of n-signal, the intermodulation product signal of the 2nd, 3 signals; 2nd, the intermodulation product signal of 4 signals;, the 2nd, the intermodulation product signal of n-signal ... Go down successively, up to the intermodulation product signal of N-1, N;
(3) ensuing
Figure BDA0000158128770000042
individual coefficient, the signal that all the third order intermodulation products in corresponding N the input signal constitute is followed successively by the intermodulation product signal of the 1st, 2,3 signals in proper order; 1st, the intermodulation product signal of 2,4 signals ..., the 1st, 2, the intermodulation product signal of n-signal; 2nd, the intermodulation product signal of 3,4 signals; 2nd, the intermodulation product signal of 3,5 signals ..., the 2nd, 3, the intermodulation product signal of n-signal; Go down successively, up to taking out N-2, the intermodulation product signal of N-1, n-signal;
......
(N) ensuing
Figure BDA0000158128770000043
individual coefficient, corresponding the 1st signal that constitutes to the intermodulation product of N all N input signal;
(N+1) the corresponding direct current signal of last coefficient.
And for there not being given phase mapping relation; But the power ratio of given each input signal and the situation of relative phase restriction relation; Through finding the solution the non-linear surely plural equation of owing of a power ratio that has each input signal and relative phase restriction relation, find multiplexing most effective separating, thereby obtain the permanent envelope scheme under the efficiency optimization meaning; Then, utilize s-matrix to calculate corresponding amplification coefficient again.
Said power ratio that has each input signal and relative phase restriction relation to owe non-linear surely plural equation as follows:
A · - 1 1 - 1 1 . . . 1 - 1 - 1 1 1 . . . 1 . . . . . . . . . . . . . . . . . . - 1 - 1 - 1 - 1 . . . 1 · exp ( j · θ 1 ) exp ( j · θ 2 ) . . . exp ( j · θ 2 N ) = Corr 1 Corr 2 . . . Corr N
Make the amplitude A that transmits reach the minimum permanent envelope scheme that is under the efficiency optimization meaning of separating in the equation, the equation solution process is following:
At first set up error function; This error function is that the item with top equation equal sign the right moves to the equal sign left side; Get norm then; And definite error threshold; Confirm initial A; Searching make error function less than the transmitter, phase of specification error vector
Figure BDA0000158128770000052
if the result does not satisfy the error margin condition; Then A is transferred greatly, proceed search, up to finding the transmitter, phase vector that satisfies error margin
Said homophase carrier wave branch road is to produce the carrier wave of specifying frequency by the frequency reference module, and this carrier wave is postponed pi/2, is the quadrature carrier branch road.
Said intermodulation signal generator is realized by the one group of combinational logic circuit or the logical circuit of tabling look-up.
The present invention provides a kind of circuit of realizing the synthetic launching technique of said permanent envelope simultaneously, comprising:
The intermodulation signal generator; Realize by the one group of combinational logic circuit or the logical circuit of tabling look-up; Connect the input of N road satellite navigation signals; Internal arithmetic obtains in the signal of N road the intermodulation product signal of the intermodulation product signal of two paths of signals arbitrarily, any three road signals, until the intermodulation product signal of N road signal arbitrarily, and direct current signal, and output respectively;
Amplifier amounts to 2 * 2 NIndividual, each road signal of intermodulation signal generator is exported equal two amplifiers that are connected to parallelly connectedly, and one is called the in-phase branch amplifier, and one is called the quadrature branch amplifier, has 2 like this NIndividual in-phase branch amplifier, 2 NIndividual quadrature branch amplifier;
Many signal combiner amount to two, and one connects 2 NThe output of individual in-phase branch amplifier, its addition is synthetic, be called the many signal combiner of in-phase branch; Another connects 2 NThe output of individual quadrature branch amplifier, its addition is synthetic, be called the many signal combiner of quadrature branch;
Carrier generator; Produce the carrier wave of specifying frequency by the frequency reference module; And be divided into two-way; One tunnel output with the many signal combiner of in-phase branch inputs to first multiplier and accomplishes multiplying, and the output with the many signal combiner of quadrature branch after the carrier phase delayer postpones pi/2 of another road inputs to second multiplier completion multiplying;
Compositor connects the output of first multiplier and second multiplier, accomplishes the signal that sum operation and output obtain having permanent envelope trait.
Direct current signal is calculated the zeroth order intermodulation signal of broad sense among the present invention, describes conveniently for system chart, and direct current is also realized through the intermodulation signal generator.
Compared with prior art, advantage of the present invention is:
Through the present invention; For given phase mapping table or the power ratio of given each input signal and the permanent envelope scheme of relative phase restriction relation; Through different coefficient configurations; All can make the composite signal of several signals have the characteristic of permanent envelope, and can assess any one the road and participate in the synthetic satellite navigation signals of permanent envelope suffered other road useful signals and the interference of composite signal in permanent envelope process, the present invention has the configuration of being easy to, realization flexible characteristic.
Through the present invention, can also under the situation that does not change hardware configuration, only can make the composite signal of several signals have the characteristic of permanent envelope to many specific permanent envelope phase mapping schemes through the method that changes some configurations.The present invention can also be used for the test and evaluation of set permanent envelope launch scenario.
Description of drawings
Fig. 1 is the circuit structure diagram of address decoding unit of the present invention.
Fig. 2 is the phase mapping table under the input signal situation of N of the present invention road.
Embodiment
Below in conjunction with accompanying drawing and embodiment the present invention is explained further details.
N of the present invention road satellite navigation signals is bpsk signal or type bpsk signal (like the BOC signal etc.) normally, the BPSK modulation signal for independent a tunnel, have+1 with-1 two kind of value maybe, be that electronic message multiply by the result after the spreading code.Separate between the navigation signal of N road.
As shown in Figure 1, the permanent envelope combiner circuit structural drawing when importing for 3 road navigation signals of the embodiment of the invention.
Compositor connects the output of first multiplier and second multiplier, accomplishes the signal that sum operation and output obtain having permanent envelope trait.
Above-mentioned 3 road satellite navigation signals are connected to the intermodulation signal generator; As its input; The intermodulation signal generator realized by the one group of combinational logic circuit or the logical circuit of tabling look-up, and internal arithmetic obtains in 3 road signals arbitrarily the intermodulation product signal of the intermodulation product signal of two paths of signals, any 3 road signals, until the intermodulation product signal of any 3 road signals, and direct current signal; And output respectively, totally 8 road signals.
To this 8 road signal, each road signal is exported equal two amplifiers that are connected to parallelly connectedly, and one is called the in-phase branch amplifier, and one is called the quadrature branch amplifier, has 8 in-phase branch amplifiers like this, 8 quadrature branch amplifiers; Each road signal is directed against the amplification of the specific factor on this road, and wherein first via signal times is with amplification factor a 1, the second tunnel signal times is with amplification factor a 2..., the 8 tunnel signal times is with amplification factor a 8, it is synthetic then the amplified result of all branch roads to be carried out direct addition through compositor, multiplies each other with homophase carrier wave branch road again, exports as in-phase branch; Again each road signal is directed against simultaneously the amplification of the another one specific factor on this road, wherein first via signal times is with amplification factor b 1, the second tunnel signal times is with amplification factor b 2..., the 8 tunnel signal times is with amplification factor b 8
Output with 8 in-phase branch amplifiers connects the many signal combiner of in-phase branch then, and the output of 8 quadrature branch amplifiers connects the many signal combiner of quadrature branch, and it is synthetic to carry out direct addition respectively.
Utilize carrier generator then; Carrier generator is produced the carrier wave of specifying frequency by the frequency reference module; And being divided into two-way, one tunnel output with the many signal combiner of in-phase branch inputs to first multiplier and accomplishes multiplying, exports as in-phase branch; The output with the many signal combiner of quadrature branch after the carrier phase delayer postpones pi/2 of another road inputs to second multiplier completion multiplying, exports as quadrature branch;
In-phase branch output is synthetic through the compositor addition with quadrature branch output, be final synthesized output signal, have the character of permanent envelope.
The amplification coefficient a of each signal in the in-phase branch 1, a 2..., a 8With with the amplification coefficient b of each signal of quadrature branch 1, b 2..., b 8Be configurable, its collocation method is following:
For the phase mapping expression condition of given 3 road signal multiplexings, its phase mapping table is as shown in Figure 2, at first constructs a s-matrix; Concrete grammar is following; For 3 road navigation signals, every road signal has+1 with-1 two kind of value mode, 8 kinds of values of 3 road signal commons maybe.For any one value in 8 kinds of values, all confirm the value of corresponding each rank intermodulation product signal thus, also be 8 kinds of possibility values.3 road signals and each rank intermodulation signal (from 2 rank to 3 rank, and direct current signal) are lined up in order, have 8 the tunnel, each value as delegation, is lined up square formation, constitute the s-matrix of 8*8 thus, building method is following:
(1) for preceding 3 row, integer 0~7 is adopted 3 binary representations, be placed into the 1st row to 8 row, 3 numbers of 3 binary representations of the corresponding integer 2 of preceding 3 numbers of the 3rd row wherein, then will be wherein all 0 change into and be-1 constituted and has been listed as;
(2) ensuing 3 row; Adopt the 1st all second order intermodulation products of being listed as in the 3rd row to constitute, promptly take out the 1st, 2 row successively, the 1st, 3 row; 2nd, 3 row; And two row that will at every turn take out carry out corresponding element and multiply each other and constitute new row, insert the new row of s-matrix, and above-mentioned all second order intermodulation products have constituted 3 new row altogether;
(3) ensuing 1 row; Adopt the 1st all third order intermodulation products of being listed as in the 3rd row to constitute, promptly take out the 1st, 2,3 row successively, and 3 row that will at every turn take out carry out corresponding element and multiply each other and constitute new row; Insert the new row of s-matrix, above-mentioned all third order intermodulation products have constituted 1 new row altogether;
(4), adopt complete 1 to insert for last row of s-matrix;
So far, accomplish the structure of s-matrix, obtained following matrix:
- 1 - 1 - 1 1 1 1 - 1 1 - 1 - 1 1 1 - 1 - 1 1 1 - 1 1 - 1 - 1 1 - 1 1 1 - 1 1 1 - 1 - 1 1 - 1 1 1 - 1 - 1 - 1 - 1 1 1 1 1 - 1 1 - 1 - 1 - 1 - 1 1 1 1 - 1 1 - 1 - 1 - 1 1 1 1 1 1 1 1 1 1
Obtain corresponding amplification coefficient according to following computing formula then:
C → = S - 1 · exp ( j · θ → )
a → = real ( C → ) = S - 1 · cos ( θ → )
b → = imag ( C → ) = S - 1 · sin ( θ → )
Wherein,
Figure BDA0000158128770000091
expression complex coefficient vector; J representes imaginary unit;
Figure BDA0000158128770000092
representes one group of phase vectors; representes the vector by the real part formation of complex coefficient vector
Figure BDA0000158128770000094
, and expression is by the vector of the imaginary part formation of complex coefficient vector
Figure BDA0000158128770000096
;
The amplification coefficient a of each signal that the real part conduct of each complex coefficient and homophase carrier wave branch road multiply each other 1, a 2..., a 8And the amplification coefficient b of each signal that the imaginary part conduct of each complex coefficient and quadrature carrier branch road multiply each other 1, b 2..., b 8, the corresponding relation of coefficient and signal is following:
(1) corresponding 3 road input signals of preceding 3 coefficients;
(2) ensuing 3 coefficients, the signal that all the second order intermodulation products in corresponding 3 input signals constitute, order is followed successively by the intermodulation product signal of the 1st, 2 signals, the intermodulation product signal of the 1st, 3 signals, the intermodulation product signal of the 2nd, 3 signals;
(3) ensuing 1 coefficient, corresponding the 1st signal that constitutes to the intermodulation product of the 3rd all 3 input signals;
(4) the corresponding direct current signal of last coefficient.
a 1, a 2..., a 8b 1, b 2..., b 8, get final product with following computing formula calculating:
C 1 C 2 . . . C 8 = S - 1 · exp ( j · θ 1 ) exp ( j · θ 2 ) . . . exp ( j · θ 8 )
a 1 a 2 . . . a 8 = real ( C → ) = S - 1 · cos ( θ 1 ) cos ( θ 2 ) . . . cos ( θ 8 )
b 1 b 2 . . . b 8 = imag ( C → ) = S - 1 · sin ( θ 1 ) sin ( θ 2 ) . . . sin ( θ 8 )
For there not being given phase mapping relation, but the power ratio of given each input signal and the situation of relative phase restriction relation, and the present invention has provided a kind of method of asking for the permanent envelope phase mapping table under the multiplexing efficiency optimization meaning.This method is used through finding the solution the non-linear surely plural equation of owing of the power ratio that has each input signal as follows and relative phase restriction relation:
A · - 1 1 - 1 1 . . . 1 - 1 - 1 1 1 . . . 1 . . . . . . . . . . . . . . . . . . - 1 - 1 - 1 - 1 . . . 1 · exp ( j · θ 1 ) exp ( j · θ 2 ) . . . exp ( j · θ 2 N ) = Corr 1 Corr 2 . . . Corr N
Make the amplitude A that transmits reach the minimum permanent envelope scheme that is under the efficiency optimization meaning of separating in the equation.
Concrete solution procedure is following: at first set up error function, this error function is that the item that illustrates equation equal sign the right is moved to the equal sign left side, gets norm then.And definite error threshold.Confirm initial A, seek and make the vector of error function less than specification error
Figure BDA0000158128770000102
If the result does not satisfy the error margin condition, then A is transferred greatly, proceed search, up to finding the transmitter, phase vector that satisfies error margin
Figure BDA0000158128770000103
Then, utilize above-mentioned s-matrix and above-mentioned complex coefficient computing formula to calculate to obtain one group of complex coefficient again, the amplification coefficient a of each signal that the real part conduct of each complex coefficient and homophase carrier wave branch road multiply each other 1, a 2..., a 8And the amplification coefficient b of each signal that the imaginary part conduct of each complex coefficient and quadrature carrier branch road multiply each other 1, b 2..., b 8
An alternative embodiment of the invention, N gets four, and the input of four road navigation signals is promptly arranged, and this moment, s-matrix was as follows:
S = - 1 - 1 - 1 - 1 1 1 1 1 1 1 - 1 - 1 - 1 - 1 1 1 - 1 - 1 - 1 1 1 1 - 1 1 - 1 - 1 - 1 1 1 1 - 1 1 - 1 - 1 1 - 1 1 - 1 1 - 1 1 - 1 1 - 1 1 1 - 1 1 - 1 - 1 1 1 1 - 1 - 1 - 1 - 1 1 1 1 - 1 - 1 1 1 - 1 1 - 1 - 1 - 1 1 1 - 1 - 1 1 1 1 - 1 1 - 1 1 - 1 1 - 1 1 - 1 1 - 1 - 1 1 - 1 1 - 1 1 - 1 1 1 - 1 1 1 - 1 - 1 - 1 1 1 - 1 - 1 - 1 1 1 - 1 1 1 - 1 1 1 1 - 1 - 1 - 1 1 1 1 - 1 - 1 - 1 1 - 1 1 1 - 1 - 1 - 1 - 1 - 1 - 1 1 1 1 1 1 1 - 1 - 1 1 1 - 1 - 1 1 - 1 - 1 1 1 - 1 - 1 1 - 1 - 1 1 1 1 1 - 1 1 - 1 - 1 1 - 1 - 1 1 - 1 - 1 1 - 1 1 1 1 1 - 1 1 1 - 1 1 1 - 1 - 1 1 - 1 - 1 1 - 1 - 1 1 1 1 - 1 - 1 1 - 1 - 1 - 1 - 1 1 - 1 - 1 1 1 1 1 1 1 - 1 1 1 - 1 1 - 1 1 - 1 - 1 1 - 1 - 1 - 1 1 1 1 1 - 1 1 1 - 1 1 - 1 - 1 1 - 1 - 1 - 1 - 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
According to said process, the result who calculates is:
C 1 C 2 . . . C 16 = S - 1 · exp ( j · θ 1 ) exp ( j · θ 2 ) . . . exp ( j · θ 16 )
a 1 a 2 . . . a 16 = real ( C → ) = S - 1 · cos ( θ 1 ) cos ( θ 2 ) . . . cos ( θ 16 )
b 1 b 2 . . . b 16 = imag ( C → ) = S - 1 · sin ( θ 1 ) sin ( θ 2 ) . . . sin ( θ 16 )
Though invention has been described with reference to exemplary embodiment in the instructions, should be appreciated that the present invention is not limited to disclosed exemplary embodiment.The scope of appended claim should be given the explanation of maximum magnitude, thereby comprises all such modifications and equivalent structure and function.

Claims (8)

1. synthesize launching technique with the permanent envelope of frequency multiple signals on the Navsat, it is characterized in that:
Need multiplexing binary input signal for the N road on the Navsat; Through the intermodulation signal generator; Obtain in the signal of N road the intermodulation product signal of the intermodulation product signal of two paths of signals arbitrarily, any three road signals, until the intermodulation product signal of N road signal arbitrarily, and direct current signal;
To the N road signal of input, each road intermodulation product signal and direct current signal of generation, amount to 2 NThe road signal is directed against the amplification of the specific factor on this road with each road signal, multiplies each other with homophase carrier wave branch road then;
To the N road signal of input, each road intermodulation product signal and direct current signal of generation, amount to 2 NThe road signal is directed against the amplification of the another one specific factor on this road with each road signal, multiplies each other with the quadrature carrier branch road then;
All signal plus that obtain after at last twice being multiplied each other are synthetic, promptly obtain the final output signal with permanent envelope trait.
2. according to the synthetic launching technique of the said permanent envelope of claim 1, it is characterized in that: for the given phase mapping expression condition of N road signal multiplexing, at first utilize s-matrix to calculate one group of complex coefficient, for N road input signal, s-matrix is one 2 N* 2 NThe square formation of dimension, its building method is following:
(1) for preceding N row, with integer 0~(2 N-1) adopts N position binary representation, be placed into the 1st row to 2 NOK, the N number of the N position binary representation of the corresponding integer of top n number that wherein m is capable (m-1), then will be wherein all 0 change into and be-1 constituted preceding N and has been listed as to this;
(2) ensuing
Figure FDA0000158128760000011
row adopt the 1st all second order intermodulation products of being listed as in the N row to constitute, and promptly take out the 1st, 2 row successively; 1st, 3 row ..., the 1st, N row; 2nd, 3 row; 2nd, 4 row ..., the 2nd, N row; Go down successively, up to taking out N-1, N row, and two row that will at every turn take out carry out corresponding element and multiply each other and constitute new row; Insert the new row of s-matrix, above-mentioned all second order intermodulation products have constituted
Figure FDA0000158128760000012
individual new row altogether;
(3) ensuing
Figure FDA0000158128760000013
row adopt the 1st all third order intermodulation products of being listed as in the N row to constitute, and promptly take out the 1st, 2,3 row successively; 1st, 2,4 row ..., the 1st, 2, N row; 2nd, 3,4 row, the 2nd, 3,5 row ... 2nd, 3, N row;, go down successively, up to taking out N-2; N-1, N row; And three row that will at every turn take out carry out corresponding element and multiply each other and constitute new row, insert the new row of s-matrix, and above-mentioned all third order intermodulation products have constituted
Figure FDA0000158128760000021
individual new row altogether;
......
(N) ensuing
Figure FDA0000158128760000022
Row adopt the 1st all N rank intermodulation products of being listed as in the N row to constitute, promptly take out the 1st, 2 ..., N row, and the N row that take out are carried out corresponding element multiply each other and constitute new row, insert the new row of s-matrix, above-mentioned all third order intermodulation products have constituted altogether Individual new row so far, construct preceding 2 of s-matrix N-1 row;
(N+1), adopt complete 1 to insert for last row of s-matrix;
So far, accomplished the structure of s-matrix;
Obtain corresponding amplification coefficient according to following computing formula then:
C → = S - 1 · exp ( j · θ → )
a → = real ( C → ) = S - 1 · cos ( θ → )
b → = imag ( C → ) = S - 1 · sin ( θ → )
Wherein,
Figure FDA0000158128760000027
Expression complex coefficient vector, totally 2 NIndividual, j representes imaginary unit,
Figure FDA0000158128760000028
Represent one group of phase vectors,
Figure FDA0000158128760000029
Expression is by the complex coefficient vector
Figure FDA00001581287600000210
The vector that constitutes of real part,
Figure FDA00001581287600000211
Expression is by the complex coefficient vector
Figure FDA00001581287600000212
The vector that constitutes of imaginary part;
The amplification coefficient of each signal that the real part conduct of each complex coefficient and homophase carrier wave branch road multiply each other, and the amplification coefficient of each signal that the imaginary part conduct of each complex coefficient and quadrature carrier branch road multiply each other, the corresponding relation of coefficient and signal is following:
(1) the corresponding N of top n coefficient road input signal;
(2) ensuing individual coefficient, the signal that all the second order intermodulation products in the corresponding N input signal constitute, order is followed successively by the intermodulation product signal of the 1st, 2 signals; 1st, the intermodulation product signal of 3 signals;, the 1st, the intermodulation product signal of n-signal, the intermodulation product signal of the 2nd, 3 signals; 2nd, the intermodulation product signal of 4 signals;, the 2nd, the intermodulation product signal of n-signal ... Go down successively, up to the intermodulation product signal of N-1, N;
(3) ensuing
Figure FDA00001581287600000214
individual coefficient, the signal that all the third order intermodulation products in corresponding N the input signal constitute is followed successively by the intermodulation product signal of the 1st, 2,3 signals in proper order; 1st, the intermodulation product signal of 2,4 signals ..., the 1st, 2, the intermodulation product signal of n-signal; 2nd, the intermodulation product signal of 3,4 signals; 2nd, the intermodulation product signal of 3,5 signals ..., the 2nd, 3, the intermodulation product signal of n-signal; Go down successively, up to taking out N-2, the intermodulation product signal of N-1, n-signal;
......
(N) ensuing
Figure FDA0000158128760000031
individual coefficient, corresponding the 1st signal that constitutes to the intermodulation product of N all N input signal;
(N+1) the corresponding direct current signal of last coefficient.
3. according to the synthetic launching technique of the said permanent envelope of claim 2, it is characterized in that: said N gets 3, and the s-matrix that constructs is following:
- 1 - 1 - 1 1 1 1 - 1 1 - 1 - 1 1 1 - 1 - 1 1 1 - 1 1 - 1 - 1 1 - 1 1 1 - 1 1 1 - 1 - 1 1 - 1 1 1 - 1 - 1 - 1 - 1 1 1 1 1 - 1 1 - 1 - 1 - 1 - 1 1 1 1 - 1 1 - 1 - 1 - 1 1 1 1 1 1 1 1 1 1 .
4. according to the synthetic launching technique of the said permanent envelope of claim 2; It is characterized in that: for there not being given phase mapping relation; But the power ratio of given each input signal and the situation of relative phase restriction relation; Through finding the solution the non-linear surely plural equation of owing of a power ratio that has each input signal and relative phase restriction relation, find multiplexing most effective separating, thereby obtain the permanent envelope scheme under the efficiency optimization meaning; Then, utilize s-matrix to calculate corresponding amplification coefficient again.
5. according to the synthetic launching technique of the said permanent envelope of claim 4, it is characterized in that: said power ratio that has each input signal and relative phase restriction relation to owe non-linear surely plural equation as follows:
A · - 1 1 - 1 1 . . . 1 - 1 - 1 1 1 . . . 1 . . . . . . . . . . . . . . . . . . - 1 - 1 - 1 - 1 . . . 1 · exp ( j · θ 1 ) exp ( j · θ 2 ) . . . exp ( j · θ 2 N ) = Corr 1 Corr 2 . . . Corr N
Make the amplitude A that transmits reach the minimum permanent envelope scheme that is under the efficiency optimization meaning of separating in the equation, the equation solution process is following:
At first set up error function; This error function is that the item with top equation equal sign the right moves to the equal sign left side; Get norm then; And definite error threshold; Confirm initial A; Searching make error function less than the transmitter, phase of specification error vector
Figure FDA0000158128760000041
if the result does not satisfy the error margin condition; Then A is transferred greatly, proceed search, up to finding the transmitter, phase vector that satisfies error margin
6. according to the synthetic launching technique of the said permanent envelope of claim 1, it is characterized in that: said homophase carrier wave branch road is to produce the carrier wave of specifying frequency by the frequency reference module, and this carrier wave is postponed pi/2, is the quadrature carrier branch road.
7. according to the synthetic launching technique of the said permanent envelope of claim 1, it is characterized in that: said intermodulation signal generator is realized by the one group of combinational logic circuit or the logical circuit of tabling look-up.
8. realize that the said permanent envelope of claim 1 synthesizes the circuit of launching technique, is characterized in that: comprising for one kind:
The intermodulation signal generator; Realize by the one group of combinational logic circuit or the logical circuit of tabling look-up; Connect the input of N road satellite navigation signals; Internal arithmetic obtains in the signal of N road the intermodulation product signal of the intermodulation product signal of two paths of signals arbitrarily, any three road signals, until the intermodulation product signal of N road signal arbitrarily, and direct current signal, and output respectively;
Amplifier amounts to 2 * 2 NIndividual, each road signal of intermodulation signal generator is exported equal two amplifiers that are connected to parallelly connectedly, and one is called the in-phase branch amplifier, and one is called the quadrature branch amplifier, has 2 like this NIndividual in-phase branch amplifier, 2 NIndividual quadrature branch amplifier;
Many signal combiner amount to two, and one connects 2 NThe output of individual in-phase branch amplifier, its addition is synthetic, be called the many signal combiner of in-phase branch; Another connects 2 NThe output of individual quadrature branch amplifier, its addition is synthetic, be called the many signal combiner of quadrature branch;
Carrier generator; Produce the carrier wave of specifying frequency by the frequency reference module; And be divided into two-way; One tunnel output with the many signal combiner of in-phase branch inputs to first multiplier and accomplishes multiplying, and the output with the many signal combiner of quadrature branch after the carrier phase delayer postpones pi/2 of another road inputs to second multiplier completion multiplying;
Compositor connects the output of first multiplier and second multiplier, accomplishes the signal that sum operation and output obtain having permanent envelope trait.
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CN107765214A (en) * 2016-08-17 2018-03-06 中国航空工业集团公司西安飞行自动控制研究所 A kind of radio navigation system
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CN106772484B (en) * 2016-12-29 2019-09-06 西安空间无线电技术研究所 Power ratio and carrier phase relationship method of adjustment between satellite navigation signals multi -components

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