CN102645657B - Same frequency point multi-way signal constant envelope combining transmitting method and circuit on navigational satellite - Google Patents

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 Technique field, be specifically related on a kind of Navsat with the 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 to provide is increasing.Yet the frequency spectrum resource of satellite navigation system is limited, and modern GNSS system usually can be at a plurality of navigation signals of same frequency emission, 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 take the performance that do not affect every kind of signal as the basis, but in the concrete application of reality, but produced new problem with the idea of the many signals of frequency.This problem comes from the high power amplifier on the satellite.Because if all use separately a high power amplifier for each signal, because high power amplifier is that volume and weight is all comparatively huge, when number of signals was more, this implementation increased the useful load on the satellite greatly, the complex so that the satellite platform design becomes.

For this problem, need to carry out the high power amplifier on the star multiplexing, i.e. high power amplifier of a plurality of Signal shares.A very important problem is how effectively to make up these signals 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 the distortion such as amplitude modulation(PAM) and amplitude-phase conversion so.In 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 to make up, and the envelope of composite signal can produce certain fluctuating.When high power amplifier is operated in saturation point, can produce Amplitude phase distortion so, the performance of receiving end is caused very large impact.

Summary of the invention

In order to overcome above-mentioned the deficiencies in the prior art, the object of the present invention is to provide on a kind of Navsat with the synthetic launching technique of the permanent envelope of frequency multiple signals and circuit, can be so that the combination of a plurality of signals have the character of permanent envelope, thus amplitude/amplitude, amplitude/phase distortion avoided.

To achieve these goals, the technical solution used in the present invention is:

With the synthetic launching technique of the permanent envelope of frequency multiple signals, step is as follows on the Navsat:

Need multiplexing binary input signal for the N road on the Navsat, by the intermodulation signal generator, obtain in the signal of N road the intermodulation product signal of the intermodulation product signal of any two paths of signals, any three road signals, until any intermodulation product signal of N road signal, 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 carries out amplification for the specific factor on this road with each road signal, then multiplies each other with homophase carrier wave branch road;

To the N road signal of input, each road intermodulation product signal and direct current signal of generation, amount to 2 ^NThe road signal carries out amplification for the another one specific factor on this road with each road signal, then multiplies each other with the quadrature carrier branch road;

All signal plus that obtain after at last twice being multiplied each other are synthetic, namely 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+and 1 and-1 two kind of value mode, N road signal shares 2 ^NPlant the value possibility, for 2 ^NAny one value in kind of the value is all determined the value of corresponding each rank intermodulation product signal thus, namely 2 ^NKind may 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, consists of thus 2 ^N* 2 ^NThe s-matrix of dimension, its building method is as follows:

(1) for front 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 consisted of front N and has been listed as to this;

(2) ensuing

Row adopt the 1st row to consist of to all the second order intermodulation products in the N row, namely take out successively the 1st, 2 row, 1st, 3 row ..., the 1st, N row, 2nd, 3 row, the 2nd, 4 row ... 2nd, N row ..., go down successively, until take out N-1, N row, and two row that will at every turn take out carry out corresponding element and multiply each other and consist of new row, insert the new row of s-matrix, and above-mentioned all second order intermodulation products have consisted of altogether

Individual new row;

(3) ensuing

Row adopt the 1st row to consist of to all the third order intermodulation products in the N row, namely take out successively the 1st, 2,3 row, 1st, 2,4 row ..., the 1st, 2, N row, 2nd, 3,4 row, the 2nd, 3,5 row ... 2nd, 3, the N row ..., go down successively, until take 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 consist of new row, insert the new row of s-matrix, above-mentioned all third order intermodulation products have consisted of altogether

Individual new row;

(N) ensuing

Row adopt the 1st row to consist of to all the N rank intermodulation products in the N row, namely take out the 1st, 2 ..., N row, and the N row that take out are carried out corresponding element multiply each other and consist of new row, insert the new row of s-matrix, above-mentioned all third order intermodulation products have consisted of altogether

Individual new row so far, construct front 2 of s-matrix ^N-1 row;

(N+1) for last row of s-matrix, adopt complete 1 to insert;

So far, finished the structure of s-matrix;

Then obtain corresponding amplification coefficient according to following computing formula:

$\stackrel{\→}{C}=S^{-1}\·\exp (j\·\stackrel{\→}{\mathrm{\θ}})$

$\stackrel{\→}{a}=\mathrm{real}\left(\stackrel{\→}{C}\right)=S^{-1}\·\cos \left(\stackrel{\→}{\mathrm{\θ}}\right)$

$\stackrel{\→}{b}=\mathrm{imag}\left(\stackrel{\→}{C}\right)=S^{-1}\·\sin \left(\stackrel{\→}{\mathrm{\θ}}\right)$

Wherein,

Expression complex coefficient vector, totally 2 ^NIndividual, j represents imaginary unit,

Represent one group of phase vectors,

Expression is by the complex coefficient vector

The vector that consists of of real part,

Expression is by the complex coefficient vector The vector that consists of of imaginary part;

The real part of each complex coefficient as and the amplification coefficient of each signal of multiplying each other of homophase carrier wave branch road, and the imaginary part of each complex coefficient is as the amplification coefficient of each signal that multiplies each other with the quadrature carrier branch road, the corresponding relation of coefficient and signal is as follows:

(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 consist of, 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, until the intermodulation product signal of N-1, N;

(3) ensuing

Individual coefficient, the signal that all the third order intermodulation products in corresponding N the input signal consist of sequentially is followed successively by the intermodulation product signal of the 1st, 2,3 signals, 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, until take out N-2, the intermodulation product signal of N-1, n-signal;

(N) ensuing

Individual coefficient, corresponding the 1st signal that consists of 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, by finding the solution one with the surely non-linear complex number equation of owing of the power ratio of each input signal and relative phase restriction relation, find a highest solution of multiplexing efficiency, thereby obtain the permanent envelope scheme under the efficiency optimization meaning, then, the recycling s-matrix calculates corresponding amplification coefficient.

Described with each input signal power ratio and the relative phase restriction relation to owe surely non-linear complex number equation as follows:

$A\·\left[\begin{array}{cccccc}-1& 1& -1& 1& ...& 1\\ -1& -1& 1& 1& ...& 1\\ .& .& .& .& .& .\\ .& .& .& .& .& .\\ .& .& .& .& .& .\\ -1& -1& -1& -1& ...& 1\end{array}\right]\·\left[\begin{array}{c}\exp (j\·{\mathrm{\θ}}_1)\\ \exp (j\·{\mathrm{\θ}}_2)\\ .\\ .\\ .\\ \exp (j\·{\mathrm{\θ}}_{2^N})\end{array}\right]=\left[\begin{array}{c}{\mathrm{Corr}}_1\\ {\mathrm{Corr}}_2\\ .\\ .\\ .\\ {\mathrm{Corr}}_N\end{array}\right]$

The solution that makes the amplitude A that transmits reach minimum in the equation is the permanent envelope scheme under the efficiency optimization meaning, and the equation solution process is as follows:

Model error function, this error function be with top equation equal sign the right move to the equal sign left side, then get norm, and definite error threshold, determine initial A, seek and make error function less than the transmitter, phase vector of specification error

If the result does not satisfy the error margin condition, then A is tuned up, proceed search, until find the transmitter, phase vector that satisfies error margin

Described 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.

Described intermodulation signal generator is realized by 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 described permanent envelope simultaneously, comprising:

The intermodulation signal generator, realized by 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 any two paths of signals, any three road signals, until any intermodulation product signal of N road signal, and direct current signal, and respectively output;

Amplifier amounts to 2 * 2 ^NIndividual, each road signal output of intermodulation signal generator all is connected to two amplifiers in parallel, and one is called the in-phase branch amplifier, and one is called the quadrature branch amplifier, has like this 2 ^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, produced 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 the first multiplier and finishes multiplying, and another road inputs to the second multiplier with the output of the many signal combiner of quadrature branch and finishes multiplying after the carrier phase delayer postpones pi/2;

Compositor connects the output of the first multiplier and the second multiplier, finishes 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 by the intermodulation signal generator.

Compared with prior art, advantage of the present invention is:

By 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, by different coefficient configurations, all can make the composite signal of several signals have the feature 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 and is easy to dispose, realize flexibly characteristics.

By the present invention, can also to many specific permanent envelope phase mapping schemes, in the situation that does not change hardware configuration, only can make the composite signal of several signals have the feature of permanent envelope by 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 in the input signal situation of N of the present invention road.

Embodiment

Below in conjunction with drawings and Examples the present invention is described in further details.

N of the present invention road satellite navigation signals is bpsk signal or class bpsk signal (such as the BOC signal etc.) normally, the BPSK modulation signal for independent a tunnel, have+1 and-1 two kind of value may, be that electronic message multiply by the result after the spreading code.Separate between the navigation signal of N road.

Permanent envelope combiner circuit structural drawing when inputting for 3 road navigation signals of the embodiment of the invention as shown in Figure 1.

Compositor connects the output of the first multiplier and the second multiplier, finishes 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 is realized by one group of combinational logic circuit or the logical circuit of tabling look-up, internal arithmetic obtains in 3 road signals intermodulation product signal of the intermodulation product signal of any two paths of signals, any 3 road signals, until the intermodulation product signal of any 3 road signals, and direct current signal, and respectively output, totally 8 road signals.

To this 8 road signal, each road signal output all is connected to two amplifiers in parallel, and one is called the in-phase branch amplifier, and one is called the quadrature branch amplifier, has like this 8 in-phase branch amplifiers, 8 quadrature branch amplifiers; Each road signal is carried out amplification for 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 amplification result of all branch roads to be carried out direct addition by compositor, multiplies each other with homophase carrier wave branch road again, exports as in-phase branch; Again each road signal is carried out simultaneously the amplification for 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

Then the output with 8 in-phase branch amplifiers connects the many signal combiner of in-phase branch, and the output of 8 quadrature branch amplifiers connects the many signal combiner of quadrature branch, and it is synthetic to carry out respectively direct addition.

Then utilize carrier generator, carrier generator is produced 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 the first multiplier and finishes multiplying, export as in-phase branch, another road inputs to the second multiplier with the output of the many signal combiner of quadrature branch and finishes multiplying after the carrier phase delayer postpones pi/2, export as quadrature branch;

In-phase branch output is synthetic by 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 as follows:

For the phase mapping expression condition of given 3 road signal multiplexings, its phase mapping table is at first constructed a s-matrix as shown in Figure 2, concrete grammar is as follows, for 3 road navigation signals, every road signal has+and 1 and-1 two kind of value mode, 3 road signals share 8 kinds of values may.For any one value in 8 kinds of values, all determine thus the value of corresponding each rank intermodulation product signal, 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, consist of thus the s-matrix of 8*8, building method is as follows:

(1) for front 3 row, integer 0～7 is adopted 3 binary representations, be placed into the 1st row to 8 row, wherein 3 numbers of 3 binary representations of the corresponding integer 2 of front 3 numbers of the 3rd row, then will be wherein all 0 change into and be-1 consisted of and has been listed as;

(2) ensuing 3 row, adopt the 1st row to consist of to all the second order intermodulation products in the 3rd row, namely take out successively the 1st, 2 row, 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 consist of new row, insert the new row of s-matrix, and above-mentioned all second order intermodulation products have consisted of 3 new row altogether;

(3) ensuing 1 row, adopt the 1st row to consist of to all the third order intermodulation products in the 3rd row, namely take out successively the 1st, 2,3 row, and 3 row that will at every turn take out carry out corresponding element and multiply each other and consist of new row, insert the new row of s-matrix, above-mentioned all third order intermodulation products have consisted of 1 new row altogether;

(4) for last row of s-matrix, adopt complete 1 to insert;

So far, finish the structure of s-matrix, obtained following matrix:

$\left[\begin{array}{cccccccc}-1& -1& -1& 1& 1& 1& -1& 1\\ -1& -1& 1& 1& -1& -1& 1& 1\\ -1& 1& -1& -1& 1& -1& 1& 1\\ -1& 1& 1& -1& -1& 1& -1& 1\\ 1& -1& -1& -1& -1& 1& 1& 1\\ 1& -1& 1& -1& -1& -1& -1& 1\\ 1& 1& -1& 1& -1& -1& -1& 1\\ 1& 1& 1& 1& 1& 1& 1& 1\end{array}\right]$

Then obtain corresponding amplification coefficient according to following computing formula:

$\stackrel{\→}{C}=S^{-1}\·\exp (j\·\stackrel{\→}{\mathrm{\θ}})$

$\stackrel{\→}{a}=\mathrm{real}\left(\stackrel{\→}{C}\right)=S^{-1}\·\cos \left(\stackrel{\→}{\mathrm{\θ}}\right)$

$\stackrel{\→}{b}=\mathrm{imag}\left(\stackrel{\→}{C}\right)=S^{-1}\·\sin \left(\stackrel{\→}{\mathrm{\θ}}\right)$

Wherein,

Expression complex coefficient vector, j represents imaginary unit,

Represent one group of phase vectors, Expression is by the complex coefficient vector The vector that consists of of real part, Expression is by the complex coefficient vector

The vector that consists of of imaginary part;

The amplification coefficient a of each signal that real part conduct and the homophase carrier wave branch road of each complex coefficient multiplies each other ₁, a ₂..., a ₈And the imaginary part of each complex coefficient is as the amplification coefficient b of each signal that multiplies each other with the quadrature carrier branch road ₁, b ₂..., b ₈, the corresponding relation of coefficient and signal is as follows:

(1) corresponding 3 road input signals of front 3 coefficients;

(2) ensuing 3 coefficients, the signal that all the second order intermodulation products in corresponding 3 input signals consist of, 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 consists of 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:

$\left[\begin{array}{c}{C}_1\\ {\mathrm{<figure-callout\; id="2"\; label="C"\; filenames="HDA0000158128780000012.png"\; state="\{\{state\}\}">C</figure-callout>}}_2\\ .\\ .\\ .\\ C_8\end{array}\right]=S^{-1}\&CenterDot;\left[\begin{array}{c}\exp (j\&CenterDot;{\mathrm{\&theta;}}_1)\\ \exp (j\&CenterDot;{\mathrm{\&theta;}}_2)\\ .\\ .\\ .\\ \exp (j\&CenterDot;{\mathrm{\&theta;}}_8)\end{array}\right]$

$\left[\begin{array}{c}{a}_1\\ a_2\\ .\\ .\\ .\\ a_8\end{array}\right]=\mathrm{real}\left(\stackrel{\&RightArrow;}{C}\right)=S^{-1}\&CenterDot;\left[\begin{array}{c}\cos \left({\mathrm{\&theta;}}_1\right)\\ \cos \left({\mathrm{\&theta;}}_2\right)\\ .\\ .\\ .\\ \cos \left({\mathrm{\&theta;}}_8\right)\end{array}\right]$

$\left[\begin{array}{c}{b}_1\\ {\mathrm{<figure-callout\; id="2"\; label="b"\; filenames="HDA0000158128780000012.png"\; state="\{\{state\}\}">b</figure-callout>}}_2\\ .\\ .\\ .\\ b_8\end{array}\right]=\mathrm{imag}\left(\stackrel{\&RightArrow;}{C}\right)=S^{-1}\&CenterDot;\left[\begin{array}{c}\sin \left({\mathrm{\&theta;}}_1\right)\\ \sin \left({\mathrm{\&theta;}}_2\right)\\ .\\ .\\ .\\ \sin \left({\mathrm{\&theta;}}_8\right)\end{array}\right]$

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 optimum meaning of multiplexing efficiency.This method is used by finding the solution the surely non-linear complex number equation of owing of following power ratio with each input signal and relative phase restriction relation:

$A\&CenterDot;\left[\begin{array}{cccccc}-1& 1& -1& 1& ...& 1\\ -1& -1& 1& 1& ...& 1\\ .& .& .& .& .& .\\ .& .& .& .& .& .\\ .& .& .& .& .& .\\ -1& -1& -1& -1& ...& 1\end{array}\right]\&CenterDot;\left[\begin{array}{c}\exp (j\&CenterDot;{\mathrm{\&theta;}}_1)\\ \exp (j\&CenterDot;{\mathrm{\&theta;}}_2)\\ .\\ .\\ .\\ \exp (j\&CenterDot;{\mathrm{\&theta;}}_{2^N})\end{array}\right]=\left[\begin{array}{c}{\mathrm{<figure-callout\; id="1"\; label="Corr"\; filenames="HDA0000158128780000011.png,HDA0000158128780000012.png"\; state="\{\{state\}\}">Corr</figure-callout>}}_1\\ {\mathrm{<figure-callout\; id="2"\; label="Corr"\; filenames="HDA0000158128780000012.png"\; state="\{\{state\}\}">Corr</figure-callout>}}_2\\ .\\ .\\ .\\ {\mathrm{Corr}}_N\end{array}\right]$

The solution that makes the amplitude A that transmits reach minimum in the equation is the permanent envelope scheme under the efficiency optimization meaning.

Concrete solution procedure is as follows: model error function, this error function are that the item that will illustrate equation equal sign the right moves to the equal sign left side, then get norm.And definite error threshold.Determine initial A, searching makes error function less than the vector of specification error

If the result does not satisfy the error margin condition, then A is tuned up, proceed search, until find the transmitter, phase vector that satisfies error margin

Then, recycle the calculation of above-mentioned s-matrix and above-mentioned complex coefficient computing formula and obtain one group of complex coefficient, the real part conduct of each complex coefficient and the amplification coefficient a of each signal that homophase carrier wave branch road multiplies each other ₁, a ₂..., a ₈And the imaginary part of each complex coefficient is as the amplification coefficient b of each signal that multiplies each other with the quadrature carrier branch road ₁, b ₂..., b ₈

An alternative embodiment of the invention, N gets four, and the input of four road navigation signals is namely arranged, and this moment, s-matrix was as follows:

$S=\left[\begin{array}{cccccccccccccccc}-1& -1& -1& -1& 1& 1& 1& 1& 1& 1& -1& -1& -1& -1& 1& 1\\ -1& -1& -1& 1& 1& 1& -1& 1& -1& -1& -1& 1& 1& 1& -1& 1\\ -1& -1& 1& -1& 1& -1& 1& -1& 1& -1& 1& -1& 1& 1& -1& 1\\ -1& -1& 1& 1& 1& -1& -1& -1& -1& 1& 1& 1& -1& -1& 1& 1\\ -1& 1& -1& -1& -1& 1& 1& -1& -1& 1& 1& 1& -1& 1& -1& 1\\ -1& 1& -1& 1& -1& 1& -1& -1& 1& -1& 1& -1& 1& -1& 1& 1\\ -1& 1& 1& -1& -1& -1& 1& 1& -1& -1& -1& 1& 1& -1& 1& 1\\ -1& 1& 1& 1& -1& -1& -1& 1& 1& 1& -1& -1& -1& 1& -1& 1\\ 1& -1& -1& -1& -1& -1& -1& 1& 1& 1& 1& 1& 1& -1& -1& 1\\ 1& -1& -1& 1& -1& -1& 1& 1& -1& -1& 1& -1& -1& 1& 1& 1\\ 1& -1& 1& -1& -1& 1& -1& -1& 1& -1& -1& 1& -1& 1& 1& 1\\ 1& -1& 1& 1& -1& 1& 1& -1& -1& 1& -1& -1& 1& -1& -1& 1\\ 1& 1& -1& -1& 1& -1& -1& -1& -1& 1& -1& -1& 1& 1& 1& 1\\ 1& 1& -1& 1& 1& -1& 1& -1& 1& -1& -1& 1& -1& -1& -1& 1\\ 1& 1& 1& -1& 1& 1& -1& 1& -1& -1& 1& -1& -1& -1& -1& 1\\ 1& 1& 1& 1& 1& 1& 1& 1& 1& 1& 1& 1& 1& 1& 1& 1\end{array}\right]$

According to said process, the result who calculates is:

$\left[\begin{array}{c}{C}_1\\ {\mathrm{<figure-callout\; id="2"\; label="C"\; filenames="HDA0000158128780000012.png"\; state="\{\{state\}\}">C</figure-callout>}}_2\\ .\\ .\\ .\\ C_{16}\end{array}\right]=S^{-1}\&CenterDot;\left[\begin{array}{c}\exp (j\&CenterDot;{\mathrm{\&theta;}}_1)\\ \exp (j\&CenterDot;{\mathrm{\&theta;}}_2)\\ .\\ .\\ .\\ \exp (j\&CenterDot;{\mathrm{\&theta;}}_{16})\end{array}\right]$

$\left[\begin{array}{c}{a}_1\\ a_2\\ .\\ .\\ .\\ a_{16}\end{array}\right]=\mathrm{real}\left(\stackrel{\&RightArrow;}{C}\right)=S^{-1}\&CenterDot;\left[\begin{array}{c}\cos \left({\mathrm{\&theta;}}_1\right)\\ \cos \left({\mathrm{\&theta;}}_2\right)\\ .\\ .\\ .\\ \cos \left({\mathrm{\&theta;}}_{16}\right)\end{array}\right]$

$\left[\begin{array}{c}{b}_1\\ {\mathrm{<figure-callout\; id="2"\; label="b"\; filenames="HDA0000158128780000012.png"\; state="\{\{state\}\}">b</figure-callout>}}_2\\ .\\ .\\ .\\ b_{16}\end{array}\right]=\mathrm{imag}\left(\stackrel{\&RightArrow;}{C}\right)=S^{-1}\&CenterDot;\left[\begin{array}{c}\sin \left({\mathrm{\&theta;}}_1\right)\\ \sin \left({\mathrm{\&theta;}}_2\right)\\ .\\ .\\ .\\ \sin \left({\mathrm{\&theta;}}_{16}\right)\end{array}\right]$

Although 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 (6)

1. synthesize launching technique with the permanent envelope of frequency multiple signals on the Navsat,

Need multiplexing binary input signal for the N road on the Navsat, by the intermodulation signal generator, obtain in the signal of N road the intermodulation product signal of the intermodulation product signal of any two paths of signals, any three road signals, until any intermodulation product signal of N road signal, 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 carries out amplification for the specific factor on this road with each road signal, then multiplies each other with homophase carrier wave branch road;

To the N road signal of input, each road intermodulation product signal and direct current signal of generation, amount to 2 ^NThe road signal carries out amplification for the another one specific factor on this road with each road signal, then multiplies each other with the quadrature carrier branch road;

All signal plus that obtain after at last twice being multiplied each other are synthetic, namely obtain the final output signal with permanent envelope trait;

It is characterized in that:

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 input signal, s-matrix is one 2 ^N* 2 ^NThe square formation of dimension, its building method is as follows:

(1) for front 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 consisted of front N and has been listed as to this;

(2) ensuing

Row adopt the 1st row to consist of to all the second order intermodulation products in the N row, namely take out successively the 1st, 2 row, 1st, 3 row ..., the 1st, N row, 2nd, 3 row, the 2nd, 4 row ... 2nd, N row ..., go down successively, until take out N-1, N row, and two row that will at every turn take out carry out corresponding element and multiply each other and consist of new row, insert the new row of s-matrix, and above-mentioned all second order intermodulation products have consisted of altogether

Individual new row;

(3) ensuing

Row adopt the 1st row to consist of to all the third order intermodulation products in the N row, namely take out successively the 1st, 2,3 row, 1st, 2,4 row ..., the 1st, 2, N row, 2nd, 3,4 row, the 2nd, 3,5 row ... 2nd, 3, the N row ..., go down successively, until take 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 consist of new row, insert the new row of s-matrix, above-mentioned all third order intermodulation products have consisted of altogether

Individual new row;

……

(N) ensuing

Row adopt the 1st row to consist of to all the N rank intermodulation products in the N row, namely take out the 1st, 2 ..., N row, and the N row that take out are carried out corresponding element multiply each other and consist of new row, insert the new row of s-matrix, above-mentioned all third order intermodulation products have consisted of altogether Individual new row so far, construct front 2 of s-matrix ^N-1 row;

(N+1) for last row of s-matrix, adopt complete 1 to insert;

So far, finished the structure of s-matrix;

Then obtain corresponding amplification coefficient according to following computing formula:

$\stackrel{\&RightArrow;}{C}=S^{-1}\&CenterDot;\exp (j\&CenterDot;\stackrel{\&RightArrow;}{\mathrm{\&theta;}})$

$\stackrel{\&RightArrow;}{a}=\mathrm{real}\left(\stackrel{\&RightArrow;}{C}\right)=S^{-1}\&CenterDot;\cos \left(\stackrel{\&RightArrow;}{\mathrm{\&theta;}}\right)$

$\stackrel{\&RightArrow;}{b}=\mathrm{imag}\left(\stackrel{\&RightArrow;}{C}\right)=S^{-1}\&CenterDot;\sin \left(\stackrel{\&RightArrow;}{\mathrm{\&theta;}}\right)$

Wherein,

Expression complex coefficient vector, totally 2 ^NIndividual, j represents imaginary unit,

Represent one group of phase vectors,

Expression is by the complex coefficient vector

The vector that consists of of real part,

Expression is by the complex coefficient vector

The vector that consists of of imaginary part;

The real part of each complex coefficient as and the amplification coefficient of each signal of multiplying each other of homophase carrier wave branch road, and the imaginary part of each complex coefficient is as the amplification coefficient of each signal that multiplies each other with the quadrature carrier branch road, the corresponding relation of coefficient and signal is as follows:

(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 consist of, 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, until the intermodulation product signal of N-1, N;

(3) ensuing

Individual coefficient, the signal that all the third order intermodulation products in corresponding N the input signal consist of sequentially is followed successively by the intermodulation product signal of the 1st, 2,3 signals, 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, until take out N-2, the intermodulation product signal of N-1, n-signal;

……

(N) ensuing

Individual coefficient, corresponding the 1st signal that consists of to the intermodulation product of N all N input signal;

(N+1) the corresponding direct current signal of last coefficient.

2. described permanent envelope synthesizes launching technique according to claim 1, and it is characterized in that: described N gets 3, and the s-matrix that constructs is as follows:

$\left[\begin{array}{cccccccc}-1& -1& -1& 1& 1& 1& -1& 1\\ -1& -1& 1& 1& -1& -1& 1& 1\\ -1& 1& -1& -1& 1& -1& 1& 1\\ -1& 1& 1& -1& -1& 1& -1& 1\\ 1& -1& -1& -1& -1& 1& 1& 1\\ 1& -1& 1& -1& 1& -1& -1& 1\\ 1& 1& -1& 1& -1& -1& -1& 1\\ 1& 1& 1& 1& 1& 1& 1& 1\end{array}\right].$

3. described permanent envelope synthesizes launching technique according to claim 1, 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, by finding the solution one with the surely non-linear complex number equation of owing of the power ratio of each input signal and relative phase restriction relation, find a highest solution of multiplexing efficiency, thereby obtain the permanent envelope scheme under the efficiency optimization meaning, then, the recycling s-matrix calculates corresponding amplification coefficient.

4. the synthetic launching technique of described permanent envelope according to claim 3 is characterized in that: described with each input signal power ratio and the relative phase restriction relation to owe surely non-linear complex number equation as follows:

$A\&CenterDot;\left[\begin{array}{cccccc}-1& 1& -1& 1& ...& 1\\ -1& -1& 1& 1& ...& 1\\ .& .& .& .& .& 1\\ .& .& .& .& .& \\ .& .& .& .& .& \\ -1& -1& -1& -1& ...& 1\end{array}\right]\&CenterDot;\left[\begin{array}{c}\exp (j\&CenterDot;{\mathrm{\&theta;}}_1)\\ \exp (j\&CenterDot;{\mathrm{\&theta;}}_2)\\ .\\ .\\ .\\ \exp (j\&CenterDot;{\mathrm{\&theta;}}_{2^N})\end{array}\right]=\left[\begin{array}{c}{\mathrm{Corr}}_1\\ {\mathrm{Corr}}_2\\ .\\ .\\ .\\ {\mathrm{Corr}}_N\end{array}\right]$

The solution that makes the amplitude A that transmits reach minimum in the equation is the permanent envelope scheme under the efficiency optimization meaning, and the equation solution process is as follows:

Model error function, this error function be with top equation equal sign the right move to the equal sign left side, then get norm, and definite error threshold, determine initial A, seek and make error function less than the transmitter, phase vector of specification error

If the result does not satisfy the error margin condition, then A is tuned up, proceed search, until find the transmitter, phase vector that satisfies error margin

5. described permanent envelope synthesizes launching technique according to claim 1, it is characterized in that: described 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.

6. described permanent envelope synthesizes launching technique according to claim 1, it is characterized in that: described intermodulation signal generator is realized by one group of combinational logic circuit or the logical circuit of tabling look-up.

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