CN102223150B - Random sampler using limited long random sequence hybrid frequency - Google Patents
Random sampler using limited long random sequence hybrid frequency Download PDFInfo
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- CN102223150B CN102223150B CN 201110077421 CN201110077421A CN102223150B CN 102223150 B CN102223150 B CN 102223150B CN 201110077421 CN201110077421 CN 201110077421 CN 201110077421 A CN201110077421 A CN 201110077421A CN 102223150 B CN102223150 B CN 102223150B
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Abstract
The invention provides a random sampler using limited long random sequence hybrid frequency, comprising a limited long random sequence generating unit which is used for generating and periodically outputting limited long random sequence signals, a hybrid frequency unit which is used for carrying out hybrid frequency on original signals and the limited long random sequence signals to obtain hybrid frequency signals, an integral unit which is used for carrying out integral operation on the hybrid frequency signals to obtain integral signals and a signal transformation unit which is used for transforming the integral signals into digital signals to obtain random sampling signals, wherein the limited long random sequence generating unit, the integral unit and the signal transformation unit are synchronous. The random sampler is low in sampling rate and hardware complexity, and is easy to implement and convenient for a follow-up compressed sensing algorithm to process on the premise of ensuring sampling performances.
Description
Technical field
The present invention relates to the signal process field, particularly a kind of stochastic sampling device that adopts the mixing of limited personal attendant's machine sequence.
Background technology
Traditional sampling adopts periodic sampling, follows Nyquist (Nyquist) sampling thheorem, and the minimum value of sampling rate is the twice of signal bandwidth.Along with signal bandwidth continues to increase, the traditional sampling method has been difficult to adapt to the demand that bandwidth increases, and sampled data two is huge, and hardware burden constantly increases the weight of.Compressed sensing does not adopt traditional periodic sampling, then adopts the method for stochastic sampling.The design of stochastic sampling device (AIC, Analog to Information Converter) is one of technology of the most critical that is achieved of compressed sensing algorithm.
Present stochastic sampling device mainly is divided into two classes: the first kind, the stochastic sampling device of employing pseudo-random sequence mixing.This stochastic sampling device first utilizes pseudo-random sequence to carry out mixing to the sparse signal of inputting, and then adopts the integration sampling device of traditional periodic sampling to carry out the low frequency sampling to signal, and output signal is given follow-up compressed sensing algorithm.This class sampling thief comprises two kinds of single-band and multibands.But because pseudo-random sequence adopts 1 and-1 to be its element, just input signal is played the aliasing effect, the function of not randomly drawing, so can not really reach the purpose of stochastic sampling, its performance also is restricted.
Equations of The Second Kind is for adopting traditional low sampling rate ADC forming array, delay sampling between ADC, output by random each ADC of selection, complete the stochastic sampling of equivalence, although the method can be completed stochastic sampling, the circuit maximum operation frequency still is the nyquist sampling rate but select, and forms ADC array and required memory array, and the complexity of required hardware sharply raises.
Summary of the invention
Purpose of the present invention is intended to solve at least one of above-mentioned technological deficiency, has proposed especially the stochastic sampling device of the limited personal attendant's machine of a kind of stochastic sampling performance employing high and that hardware complexity is low sequence mixing.
For achieving the above object, embodiments of the invention have proposed a kind of stochastic sampling device that adopts the mixing of limited personal attendant's machine sequence, comprise: limited personal attendant's machine sequence generating unit, described limited personal attendant's machine sequence generating unit are used for generating and periodically exporting limited personal attendant's machine sequence signal; Mixing unit, described mixing unit are connected with described limited personal attendant's machine sequence generating unit, are used for original signal and described limited personal attendant's machine sequence signal are carried out mixing to obtain mixed frequency signal; Integral unit, described integral unit is connected with described mixing unit, and described integral unit comprises one or more integrators, is used for described mixed frequency signal is carried out integral operation to obtain integrated signal; And signal conversion unit, described signal conversion unit is connected with described integral unit, described signal conversion unit comprises one or more signal converters, be used for described integrated signal is converted to digital signal to obtain the stochastic sampling signal, wherein, described limited personal attendant's machine sequence generating unit, described integral unit and described signal conversion unit keep synchronous.
The stochastic sampling device of personal attendant machine sequence limited to the employing of embodiment of the present invention mixing has the following advantages:
1) stochastic sampling is low in the prerequisite down-sampling rate that guarantees the sampling performance;
2) hardware complexity of stochastic sampling device is low, is easy to realize;
3) the stochastic sampling signal that is generated by stochastic sampling device of the present invention is convenient to the processing of subsequent compression perception algorithm.
The aspect that the present invention adds and advantage part in the following description provide, and part will become obviously from the following description, or recognize by practice of the present invention.
Description of drawings
Above-mentioned and/or the additional aspect of the present invention and advantage will become from the following description of the accompanying drawings of embodiments and obviously and easily understand, wherein:
Fig. 1 is the structural representation of the stochastic sampling device of personal attendant machine sequence limited to the employing of embodiment of the present invention mixing;
Fig. 2 generates the schematic diagram of limited personal attendant's machine sequence signal according to limited personal attendant's machine sequence generating unit of the embodiment of the present invention;
Fig. 3 is the schematic diagram according to limited personal attendant's machine sequence signal of the embodiment of the present invention;
Fig. 4 is the structural representation of the stochastic sampling device of integral unit band Protection Counter Functions;
Fig. 5 is that integral unit is without the structural representation of the stochastic sampling device of Protection Counter Functions;
Fig. 6 is that two-way is without the structural representation of the stochastic sampling device of Protection Counter Functions integral unit;
Fig. 7 (a) is respectively the signal schematic representation of each signaling point of stochastic sampling device in Fig. 6 to Fig. 7 (e);
Fig. 8 is the process flow diagram according to the compressed sensing algorithm of the embodiment of the present invention;
Fig. 9 adopts the schematic diagram of compressed sensing algorithm reconstruction signal to stochastic sampling point;
Figure 10 (a) is the SFDR schematic diagram of limited personal attendant's machine sampling;
Figure 10 (b) is the schematic diagram of the SFDR of pure stochastic sampling; And
Figure 10 (c) is the schematic diagram of the SFDR of scrambler modulation.
Embodiment
The below describes embodiments of the invention in detail, and the example of described embodiment is shown in the drawings, and wherein same or similar label represents same or similar element or the element with identical or similar functions from start to finish.Be exemplary below by the embodiment that is described with reference to the drawings, only be used for explaining the present invention, and can not be interpreted as limitation of the present invention.
The stochastic sampling device 100 of personal attendant machine sequence limited to the employing of embodiment of the present invention mixing is described below with reference to Fig. 1 to Fig. 6.
As shown in Figure 1, the stochastic sampling device 100 of personal attendant machine sequence limited to the employing of embodiment of the present invention mixing comprises: limited personal attendant's machine sequence generating unit 110, mixing unit 120, integral unit 130 and signal conversion unit 140, wherein limited personal attendant's machine sequence generating unit 110, integral unit 130 and signal conversion unit 140 keep synchronous, in order to can sample to specific sequence mixing results.
Limited personal attendant's machine sequence generating unit 110 can be carried out the Kronecker product computing with the two-way initiation sequence, thereby generates limited personal attendant's machine sequence (LRS sequence) signal, and limited personal attendant's machine sequence signal that will generate is periodically exported.
The below is described in detail the generative process of limited personal attendant's machine sequence signal.
It is long for the sequence A of L and length are the sequence B of M, wherein that the two-way initiation sequence is respectively:
A=(a
0, a
1... a
q... a
L-1), wherein
Q is the random integers between 0 to L-1.Produce random number is obeyed certain distribution, and for example q obeys evenly and distributes, and probability density function is
0≤q≤L-1, B=(1,1,1 ..., 1), and the element of B is all 1.
Limited personal attendant's machine sequence P that limited personal attendant's machine sequence generating unit 110 generates is
Wherein
Be Kronecker product (Kronecker Production), the sequence length N of limited personal attendant's machine sequence (LRS sequence) is N=M * L.Limited personal attendant's machine sequence generating unit 110 periodically sends limited personal attendant's machine sequence P that length is N.
The stochastic sampling signal that utilizes stochastic sampling device 100 of the present invention to generate carries out the compressed sensing processing in the later stage, so the general needs of choosing of M and N are satisfied following requirement:
1) N is that the peak signal that follow-up compressed sensing algorithm can be processed is counted, and M is that the measurement after compressed sensing is counted, and wherein, M can be divided exactly N, L=N/M.
2) M＜＜N, N=128 for example, M=4.
In addition, L is the ratio of random series cycle and chip period, i.e. L=T/T
p, wherein T is the cycle of LRS sequence, T
pChip period for the LRS sequence.
In one embodiment of the invention, after limited personal attendant's machine sequence generating unit 110 generates limited personal attendant's machine sequence (LRS sequence), can first the LRS sequence be stored in circulating register (CSR, Cyclic Shift Register), as shown in Figure 2.Circulating register output feeds back to circulating register, thereby limited personal attendant's machine sequence can periodically be exported.
As shown in Figure 3, the length L of sequence A is 8, and the length M of sequence B is that the length N of 8, LRS sequence is 64, and the LRS sequence is as follows:
(0，1，0，0，0，0，0，0，0，0，0，0，1，0，0，0，0，0，0，0，0，1，0，0，0，0，0，1，0，0，0，0，0，0，0，0，0，0，0，1，0，0，0，0，0，0，0，1，0，1，0，0，0，0，0，0，0，0，0，1，0，0，0，0)。
In one embodiment of the invention, integral unit 130 can be for the integral unit of Protection Counter Functions or without the integral unit of zero clearing.When integral unit have carry out the one-period integration after initiatively zero clearing and again during the function of next cycle integration, judge this integral unit band Protection Counter Functions.Be the effect of totalizer when integral unit, initiatively zero clearing judges that this integral unit is without Protection Counter Functions.
According to the difference of integral unit zero clearing mode, stochastic sampling device 100 can be one of following two kinds of frameworks:
1) integral unit 130 is the integrator with Protection Counter Functions, under strict synchronous prerequisite, adopts single channel integrator and ADC to realize stochastic sampling;
2) integral unit 130 is the integrator without Protection Counter Functions, adopts multichannel integrator and multiple signals converter to realize stochastic sampling.
As shown in Figure 4, be input in integral unit 130 through the signal after mixing unit 120 mixing, wherein integral unit 130 comprises one road integrator, and the cycle of integrator is identical with the cycle of limited personal attendant's machine sequence generating unit 110, is T.Integrator is to mixed frequency signal Continuous accumulation in the T time window, ∫
TS (t) p (t) dt obtains one road integrated signal.Integral unit 130 is connected with signal conversion unit 140, and signal conversion unit 140 comprises No. one signal converter, and is as connected in the A/D converter (ADC) of the periodic sampling in Fig. 4.Signal converter is converted to digital signal with integrated signal, obtains stochastic sampling signal s (n).Wherein, the sampling period of signal conversion unit 140 is also T, and namely limited personal attendant's machine sequence generating unit 110, integral unit 130 are identical with the periodicity of signal conversion unit 140.
When adopting above-mentioned integral unit 130 to obtain stochastic sampling signal s (n) with the stochastic sampling device 100 of Protection Counter Functions, limited personal attendant's machine sequence generating unit 110, integral unit 130 and signal conversion unit 140 keep synchronous and aim at.
Integral unit is described without the stochastic sampling device 100 of Protection Counter Functions below with reference to Fig. 5.
As shown in Figure 5, during without Protection Counter Functions, stochastic sampling device 100 further comprises zero-signal maker 150, the first multi-channel switch (S1) 160 and the second multi-channel switch (S2) 170 when integral unit 130.Zero-signal maker 160 can generate and the output multi-channel zero-signal.The input end of the first multi-channel switch (S1) 160 can selectivity region zero-signal maker 150 and mixing unit 120 be connected, the output terminal of the first multi-channel switch (S1) 160 is connected with integral unit 130.Integral unit 130 comprises a plurality of integrators, and the first multi-channel switch (S1) 160 will and come the mixed frequency signal of self-mixing unit 120 optionally to be sent to the input end of a plurality of integrators from the zero-signal of zero-signal maker 160.A plurality of integrators carry out integral operation to the signal of input respectively.Particularly, signal in T time window the Continuous accumulation of integrator to input, ∫
TS (t) p (t) dt obtains the multichannel integrated signal.Wherein, the cycle of each integrator is identical with the cycle of limited personal attendant's machine sequence generating unit 110, is T.
Because the clear operation of integral unit 130 is cumulative obtaining by the zero-signal input of zero-signal maker 160, thereby be easy to realize by hardware.
Each signal converter is converted to digital signal with the integrated signal of coupled integrator output.The input end of the second multi-channel switch (S2) 170 optionally is connected with the output terminal of a plurality of signal converters, and the output terminal of the second multi-channel switch (S2) 170 is optionally exported stochastic sampling signal s (n).Wherein, in signal conversion unit 140, the sampling period of each signal converter is NT, and N is the quantity of signal converter in signal conversion unit.
The below describes as example without the stochastic sampling device of the integrator of Protection Counter Functions take two-way.
As shown in Figure 6, original signal S (t) and limited personal attendant's machine sequence signal p (t) carry out mixing by mixing unit 120, obtain mixed frequency signal.Wherein, original signal S (t) can be sinusoidal signal, and as shown in Fig. 7 (a), mixed frequency signal is as shown in Fig. 7 (b).
The first multi-channel switch (S1) 150 is double-break switch, has three contacts.Wherein, the one tunnel is the mixed frequency signal of S (t) and p (t), and other two the road are zero-signal.The output terminal of the first multi-channel switch (S1) 150 is connected with integral unit 130, and wherein integral unit 130 comprises first integrator 131 and second integral device 132.The Continuous accumulation ∫ of 132 pairs of input signals of first integrator 131 and second integral device in the T time window
TS (t) p (t) dt obtains the two-way integrated signal.Wherein, the cycle of each integrator is identical with the cycle of limited personal attendant's machine sequence generating unit 110, is T.Fig. 7 (c) shows the first via integrated signal by first integrator 131 outputs, and Fig. 7 (d) shows the second road integrated signal by 132 outputs of second integral device.
The input end of the second multi-channel switch (S2) 170 optionally is connected with the output terminal of first signal converter 141 with secondary signal converter 142, the output terminal of the second multi-channel switch (S2) 170 is optionally exported stochastic sampling signal s (n), as shown in Fig. 7 (e).
The opposite direction of the direction of the first multi-channel switch (S1) 150 and the second multi-channel switch (S2) 170 is worked as S
1When connecting one the tunnel, S2 connects another road.
In one embodiment of the invention, adopt the stochastic sampling device 100 of limited personal attendant's machine sequence mixing can be the periodic sampling device, carry out periodic sampling.
The stochastic sampling signal s (n) that the stochastic sampling device 100 of personal attendant machine sequence limited to the employing of embodiment of the present invention mixing obtains can be used for the compressed sensing algorithm.As shown in Figure 8, the flow process of compressed sensing algorithm comprises the steps:
S801: transmit and store shorthand sampled signal s (n);
S802: whether the collection that judges signal is distributed capture, if distributed capture is carried out S803, otherwise carries out S805;
S803: calculate α by distributed OMP algorithm;
S804: the valuation of calculating signal by distributed OMP algorithm
Output
S805: calculate α by the OMP algorithm, wherein α is the projection at the orthogonal basis of orthogonal matrix Ψ.When the original signal of input was sparse signal, α was that k is sparse, namely only has k non-zero number in α.
S806: the valuation of calculating signal by the OMP algorithm
Output
This algorithm adopts OMP method reconstruction signal power spectrum.Each iteration obtains when rebuilding
The atom of support set F, just by recurrence to selecting atom set to carry out orthogonalization guaranteeing the optimality of iteration, thereby reduced iterations.The OMP algorithm has guaranteed the optimality of each iteration, has reduced the number of times of iteration, can be accurately reconstruction signal rapidly.
Fig. 9 (a) shows the input signal s (n) of compressed sensing algorithm, and Fig. 9 (b) is the stochastic sampling point of input signal s (n), the signal of Fig. 9 (c) for adopting the compressed sensing algorithm to recover.Can know compressed sensing algorithm reconstruct original signal well by comparison diagram 9 (a) and Fig. 9 (c).If the employing nyquist sampling, minimum 16 sampling points of input signal shown in Fig. 9 (a), and the stochastic sampling signal s (n) that adopts the stochastic sampling device 100 of the embodiment of the present invention to generate only needs 8 sampling points, sampling rate reduces.
Figure 10 (a) suppresses scope (SFDR to the spurious signal of the sampling of limited personal attendant's machine, pure stochastic sampling and three kinds of modes of scrambler modulation respectively to Figure 10 (c), Spurious Free Dynamic Range) compare, thereby the serviceability of different modes is compared.Wherein, SFDR is defined as the ratio of original signal power and maximum noise signal power.Wherein, Figure 10 (a) and Figure 10 (b) are logarithmic coordinate, and Figure 10 (c) is conventional coordinate.
As can be seen from Figure 10, stochastic sampling device 100 and the pure stochastic sampling utensil of the mixing of the limited personal attendant's machine of the employing of embodiment of the present invention sequence have roughly the same SFDR index, and much larger than scrambler modulated random sampling thief SFDR, thereby can know that the stochastic sampling utensil that adopts the finite length sequence mixing has and pure stochastic sampling performance of equal value almost, and be better than the scrambler modulation system.But the stochastic sampling device 100 of the limited personal attendant's machine of the employing of embodiment of the present invention sequence mixing is lower than the hardware complexity of pure stochastic sampling device, be easy to realize.In addition, the stochastic sampling device 100 of the limited personal attendant's machine of the employing of embodiment of the present invention sequence mixing is compared with the gating array, and hardware complexity is also low.
In sum, stochastic sampling device 100 hardware complexities of the limited personal attendant's machine of the employing of embodiment of the present invention sequence mixing are low, be easy to realize function admirable.
The stochastic sampling device of personal attendant machine sequence limited to the employing of embodiment of the present invention mixing has the following advantages:
1) stochastic sampling is low in the prerequisite down-sampling rate that guarantees the sampling performance;
2) hardware complexity of stochastic sampling device is low, is easy to realize;
3) the stochastic sampling signal that is generated by stochastic sampling device of the present invention is convenient to the processing of subsequent compression perception algorithm.
In the description of this instructions, the description of reference term " embodiment ", " some embodiment ", " example ", " concrete example " or " some examples " etc. means to be contained at least one embodiment of the present invention or example in conjunction with specific features, structure, material or the characteristics of this embodiment or example description.In this manual, the schematic statement of above-mentioned term not necessarily referred to identical embodiment or example.And the specific features of description, structure, material or characteristics can be with suitable mode combinations in any one or more embodiment or example.
Although illustrated and described embodiments of the invention, for the ordinary skill in the art, be appreciated that without departing from the principles and spirit of the present invention and can carry out multiple variation, modification, replacement and modification to these embodiment, scope of the present invention is by claims and be equal to and limit.
Claims (10)
1. a stochastic sampling device that adopts the mixing of limited personal attendant's machine sequence, is characterized in that, comprising:
Limited personal attendant's machine sequence generating unit, described limited personal attendant's machine sequence generating unit are used for generating and periodically exporting limited personal attendant's machine sequence signal;
Mixing unit, described mixing unit are connected with described limited personal attendant's machine sequence generating unit, are used for original signal and described limited personal attendant's machine sequence signal are carried out mixing to obtain mixed frequency signal;
Integral unit, described integral unit is connected with described mixing unit, and described integral unit comprises one or more integrators, is used for described mixed frequency signal is carried out integral operation to obtain integrated signal;
Signal conversion unit, described signal conversion unit is connected with described integral unit, and described signal conversion unit comprises one or more signal converters, is used for described integrated signal is converted to digital signal obtaining the stochastic sampling signal,
Wherein, described limited personal attendant's machine sequence generating unit, described integral unit and described signal conversion unit keep synchronous.
2. stochastic sampling device as claimed in claim 1, is characterized in that, described limited personal attendant's machine sequence generating unit is carried out the Kronecker product computing with the two-way initiation sequence, generates and periodically export limited personal attendant's machine sequence signal.
3. stochastic sampling device as claimed in claim 1, is characterized in that, described limited personal attendant's machine sequence generating unit comprises circulating register,
Described limited personal attendant's machine sequence generating unit is carried out the Kronecker product computing with the two-way initiation sequence and is generated limited personal attendant's machine sequence signal, and described limited personal attendant's machine sequence signal is stored in described circulating register, periodically export described limited personal attendant's machine sequence signal by described circulating register.
4. stochastic sampling device as claimed in claim 1, is characterized in that, described integral unit is with the integral unit of Protection Counter Functions or without the integral unit of Protection Counter Functions.
5. stochastic sampling device as claimed in claim 4, it is characterized in that, when described integral unit is integral unit with Protection Counter Functions, described integral unit comprises an integrator, described signal conversion unit comprises a signal converter, and the cycle of described limited personal attendant's machine sequence generating unit, described integral unit and described signal conversion unit is identical.
6. stochastic sampling device as claimed in claim 4, is characterized in that, when described integral unit was integral unit without Protection Counter Functions, described integral unit comprised a plurality of integrators, and described a plurality of integrators carry out integral operation to the signal of input integral device respectively,
Described signal conversion unit comprises a plurality of signal converters, and described a plurality of integrator is corresponding connected one by one with described a plurality of signal converters, described each signal converter is converted to digital signal with the integrated signal that the integrator of correspondence is exported respectively, obtain multichannel stochastic sampling signal, described stochastic sampling device also comprises:
Zero-signal maker, described zero-signal maker are used for generating and the output multi-channel zero-signal;
The first multi-channel switch, the input end of described the first multi-channel switch optionally are connected with described mixing unit with described zero-signal maker, and described zero-signal or mixed frequency signal are sent to the input end of described a plurality of integrators;
The second multi-channel switch, the input end of described the second multi-channel switch optionally is connected with the output terminal of described a plurality of signal converters, the output terminal output stochastic sampling signal of described the second multi-channel switch.
7. stochastic sampling device as claimed in claim 6, it is characterized in that, the cycle of described each integrator is all identical with the cycle of described limited personal attendant's machine sequence generating unit, and the cycle of described each signal converter be described limited personal attendant's machine sequence generating unit cycle N doubly, wherein, N is the quantity of signal converter in described signal conversion unit.
8. stochastic sampling device as claimed in claim 6, it is characterized in that, described integral unit comprises first integrator and second integral device, described signal conversion unit comprises first signal converter and secondary signal converter, wherein, described first integrator is connected with described first signal converter, and described second integral device is connected with described secondary signal converter, and the cycle of described first signal converter and secondary signal converter is 2 times of cycle of described limited personal attendant's machine sequence generating unit.
9. stochastic sampling device as described in any one in claim 1,5,6, is characterized in that, described integral unit is the A/D converter of periodic sampling.
10. stochastic sampling device as described in any one in claim 1-8, is characterized in that, described stochastic sampling signal carried out compressed sensing process.
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| CN101064707A (en) * | 2006-04-28 | 2007-10-31 | 北京泰美世纪科技有限公司 | Bandlimited stochastic sequence generating method and its apparatus |
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| CN101967741A (en) * | 2009-07-27 | 2011-02-09 | 海尔集团公司 | Washing method of washing machine with elevating function |
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| 连续随机变量与相关随机序列的通用产生算法研究;陆兴平;《中国优秀硕士学位论文全文数据库 信息科技辑》;20060315;第2006年卷(第3期);I136-32 * |
| 陆兴平.连续随机变量与相关随机序列的通用产生算法研究.《中国优秀硕士学位论文全文数据库 信息科技辑》.2006,第2006年卷(第3期),I136-32. |
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