CN104065383A - Analog information conversion method based on sampling control - Google Patents
Analog information conversion method based on sampling control Download PDFInfo
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- CN104065383A CN104065383A CN201410281967.1A CN201410281967A CN104065383A CN 104065383 A CN104065383 A CN 104065383A CN 201410281967 A CN201410281967 A CN 201410281967A CN 104065383 A CN104065383 A CN 104065383A
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Abstract
The invention discloses an analog information conversion method based on sampling control. N data need to be collected from an input sparse signal x(t) according to the Nyquist sampling theorem, M data are collected after ADC sampling, N is divisible by M, and M and N are positive integers, wherein the Nyquist sampling rate is fN, the sampling rate of compressed sampling is fM, and fN/fM equals to N/M; during sampling, an LRS sequence serves as a sampling control sequence. A special sampling clock generation mode is used, and the LRS sequence serves as the sampling control sequence, so that a designed analog information converter can be applied to a low-pass compressed sampling system, can also be applied to a band-pass compressed sampling system, and besides can be compatible with an existing Nyquist sampling system. Conversion between Nyquist sampling and compressed sampling can be achieved by changing the sampling clock generation mode, and accordingly Nyquist sampling or compressed sampling can be selected according to actual needs, and high flexibility and adaptability are achieved.
Description
Technical field
The present invention relates to a kind of analog information conversion method, specifically by the sampling clock of control simulation digital quantizer, realize the conversion of analog information.
Background technology
Compression sampling (Compressed Sampling, CS) technology is utilized the sparse property of signal, in sampling, realizes data compression, can break through the restriction of nyquist sampling theorem, significantly reduces sample frequency.CS theory is called as analog information conversion (Analog-to-Information Convertion in the application aspect sparse analog signal figure, AIC), corresponding functional unit is referred to as analog information transducer (Analog-to-Information Convertor, AIC).
Current, the most frequently used analog information transducer has two kinds: multidiameter delay AIC and premodulated type AIC.The advantage of multidiameter delay AIC is that principle is simple, but when required way is more, hardware is realized complicated, sometimes even cannot realize; The advantage of premodulated type AIC structure is to adopt single channel structure, hardware is realized and being easier to, but it is based upon on low pass sampling thheorem basis, and for broadband signal, often adopt high intermediate frequency receiving front-end, now the required working clock frequency of premodulated type AIC front end modulating part will be very high; And in fact, in high intermediate frequency situation, signal bandwidth and center frequency ratio are generally all smaller, therefore adopt bandpass sampling more reasonable, also more easily realize.
Propose a kind of analog information conversion method, utilize the AIC change method design both to can be applicable to also can be applicable in bandpass sampling system in low pass sampling system, and can with existing nyquist sampling system compatible.
Summary of the invention
The present invention is for solving the existing problem of premodulated type AIC, a kind of analog information conversion method based on controlling of sampling has been proposed, from control simulation digital quantizer (Analog-to-Digital Converter, ADC) angle of sampling clock is set out, utilize the analog information transducer of this method design can be applied to can be applied to again be with in logical compression sampling system in low pass compression sampling system, and can compatible existing nyquist sampling system, can select according to actual needs to adopt nyquist sampling or compression sampling, therefore there is very strong flexibility.
Technical scheme of the present invention is as follows:
Analog information conversion method based on controlling of sampling, is characterized in that: the sparse signal to input
, according to nyquist sampling theorem, need to gather N data, adopt ADC(A-D converter) and gather M data after sampling, and the aliquot N of M, M and N are positive integer; Wherein, nyquist sampling rate is
, the sample rate of compression sampling is
, have
; During sampling, utilize LRS(Limited Random Sequence, i.e. limited random sequence) sequence is as controlling of sampling sequence.
Described LRS sequence is by LRSG(Limited Random Sequence Generator, i.e. limited random sequence generator) generate.
The sampling clock of described ADC is generated by ADC Control module.
The mode of traditional premodulated type AIC is: as shown in Figure 1, and for input sparse signal
, pseudo-random sequence generator PSG(Pseudo Sequence Generator) and generating period is
nafter the pseudo random sequence that value is ± 1 digital-to-analogue conversion, obtain
;
to input signal
carry out premodulated; Signal after premodulated, after integration, by low speed ADC digitlization, obtains
mindividual
.Integrator integration period in this premodulated type AIC is:
, be about to time window
be equally divided into
mindividual subwindow, then integration sampling obtains in order
mindividual data.
Hence one can see that, and PSG must meet Nyquist low pass sampling thheorem, and work clock is at least
2 times of upper limiting frequency, as previously mentioned, this connects in receipts system and is difficult to even cannot realize at high midband.
Known according to traditional premodulated type AIC structure, why PSG must meet Nyquist low pass sampling thheorem, owing to adopting analog-modulated to cause, if after premodulated is moved on to analog to digital converter, adopt Digital Modulation, and with the cumulative analog integration of replacing of numeral, for high intermediate-freuqncy signal, ADC just can adopt bandpass sampling, thereby reduces sample rate.Therefore as shown in Figure 2, the PSG generation cycle in the AIC after conversion is
npseudo random sequence
, the Sampling techniques that its clock frequency is sampled with ADC are relevant, if ADC adopts low pass Sampling techniques, clock frequency need meet low pass sampling thheorem; If what ADC adopted is Band-pass Sampling Technology, clock frequency only need meet bandpass sample theory.ADC Control module basis
generate ADC sampling clock, create-rule is: only have and work as
shi Shengcheng sampling clock.Accumulator is for the integrator of traditional premodulated type AIC, similar with integrator, will
nindividual sampled data is divided into
msection, then adds up to each section, output
mindividual data.In this structure the average sample rate of ADC be completely by
structures shape, make the average sample rate be
if got
,
, but expectation obtains:
.So the AIC sampling process after analytic transformation, if
min segment data, every one piece of data only has a non-zero, and the position of non-zero in data segment be random, at each
data of random acquisition in time window, now the data of actual acquisition just only have
mindividual, the average sample rate of ADC meets (4) formula.Thus, require random sequence
in the data segment that is N/M in each length, only have a non-zero number, and its position is random in this data segment.Limited random sequence (Limited Random Sequence, LRS) is exactly the random sequence that meets this characteristic, with
n=32,
m=4 for example can obtain the LRS sequence of are:
.
Therefore designed and utilized LRS sequence as controlling of sampling sequence, just can obtain the present invention and be intended to the AIC based on controlling of sampling proposing, as shown in Figure 3.ADC Control module is identical with the ADC Control functions of modules in mapped structure; Because LSR sequence only has a nonzero value in every one piece of data, and get 1, no longer need modulation and accumulator module, directly output is compression sampling value.
Beneficial effect of the present invention is as follows:
The present invention is from control simulation digital quantizer (Analog-to-Digital Converter, ADC) angle of sampling clock is set out, utilize special sampling clock generating mode, utilize LRS sequence as controlling of sampling sequence, the analog information transducer of design can be applied to can be applied to again be with in logical compression sampling system in low pass compression sampling system, and can compatible existing nyquist sampling system, only need the generating mode that changes sampling clock can between nyquist sampling and compression sampling, switch, just can select according to actual needs to adopt nyquist sampling or compression sampling, therefore there is very strong flexibility and adaptability.
Accompanying drawing explanation
Fig. 1 is the sample mode schematic diagram of traditional premodulated type AIC structure
Fig. 2 is the sample mode schematic diagram of the conversion of structure in Fig. 1
Fig. 3 is structural representation of the present invention
Fig. 4 is the low pass sampling result of the test in the embodiment of the present invention 1
Fig. 5 is the bandpass sampling result of the test in the embodiment of the present invention 2.
Embodiment
embodiment 1
collected signal is the mixed signal of two cosine signals, and frequency is respectively 14/32Hz and 15/32Hz, and sample rate is
hz.Obviously collected signal is frequency-domain sparse signal, adopts and pays sharp leaf matrix as representing matrix.Get in test
n=1024,
m=32, adopt orthogonal matching pursuit algorithm to carry out data reconstruction, utilize
l 2norm relative error is as the standard of evaluating reconstruction accuracy, and reconstruction accuracy is defined as
（5）
Wherein
for being sampled signal,
for reconstruction signal,
.
Result of the test as shown in Figure 4, is got front 100 data of low pass sampling result of the test, reconstructed error
, visible reconstruction signal primary signal meets very well.Due to
n=1024,
m=32, compression sampling rate
hz.
embodiment 2
To collected signal same in embodiment 1, the mixed signal of two cosine signals, carries out bandpass sampling, gets low pass sample frequency
, bandpass sampling frequency
, still get
n=1024,
m=32, in the same manner as in Example 1.
Result of the test as shown in Figure 5, is got front 100 data of bandpass sampling result of the test, reconstructed error
, visible reconstruction signal primary signal meets very well.Due to
n=1024,
m=32, compression sampling rate
.
Claims (3)
1. the analog information conversion method based on controlling of sampling, is characterized in that: the sparse signal to input
, according to nyquist sampling theorem, need to gather N data, after sampling, employing ADC gathers M data, and the aliquot N of M, M and N are positive integer; Wherein, nyquist sampling rate is
, the sample rate of compression sampling is
, have
; During sampling, utilize LRS sequence as controlling of sampling sequence.
2. the analog information conversion method based on controlling of sampling according to claim 1, is characterized in that: described LRS sequence is generated by limited random sequence generator.
3. the analog information conversion method based on controlling of sampling according to claim 1, is characterized in that: the sampling clock of described ADC is generated by ADC Control module.
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Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN109492185A (en) * | 2018-10-18 | 2019-03-19 | 南京丰道电力科技有限公司 | A kind of sampled-data processing method and device |
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| EP2717481A2 (en) * | 2012-10-05 | 2014-04-09 | Fraunhofer-Gesellschaft zur Förderung der angewandten Forschung e.V. | System and Method for determining an interferer transmitting an interfering signal |
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| CN101867387A (en) * | 2010-01-06 | 2010-10-20 | 中国人民解放军海军航空工程学院 | Signal reconstruction technical scheme for sampling with rate lower than Nyquist rate |
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| EP2717481A2 (en) * | 2012-10-05 | 2014-04-09 | Fraunhofer-Gesellschaft zur Förderung der angewandten Forschung e.V. | System and Method for determining an interferer transmitting an interfering signal |
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| CN109492185A (en) * | 2018-10-18 | 2019-03-19 | 南京丰道电力科技有限公司 | A kind of sampled-data processing method and device |
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Application publication date: 20140924 |
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