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Limited innovation rate-based pulse string signal undersampling system and method

A pulse train and under-sampling technology, applied in the field of signal processing, can solve problems such as poor reconstruction effect, spectrum aliasing, and difficulty in realizing filter frequency response characteristics, and achieve high delay reconstruction accuracy, small error, and downsampling speed effect

Inactive Publication Date: 2017-06-09
HARBIN INST OF TECH
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Problems solved by technology

[0004] The easiest way to obtain Fourier coefficients for pulse train signals is to use a Sinc sampling kernel (i.e., an ideal low-pass filter). However, this method can only obtain a continuous subset of Fourier coefficients, and the reconstruction effect is poor; Tur et al. introduced A single-channel pre-sampling filtering process to obtain arbitrary discrete Fourier coefficients, but the frequency response characteristics of this filter are difficult to achieve in practical applications; Gedalyahu et al. use a multi-channel mixing-integral structure to directly collect the Fourier of the input signal In this structure, each channel can only collect one Fourier coefficient, the hardware system is large in scale, and the synchronization between channels is a big problem; in order to obtain discrete distribution of Fourier coefficients, Eldar et al. designed a multi-channel undersampled radar receiver, however, in order to avoid spectral aliasing, the structure employs a complex and redundant analog preprocessing process

Method used

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  • Limited innovation rate-based pulse string signal undersampling system and method
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  • Limited innovation rate-based pulse string signal undersampling system and method

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Embodiment approach 1

[0049] Embodiment 1: The pulse train signal undersampling system based on the limited innovation rate described in this embodiment, such as figure 1 As shown, it includes a modulation signal generation module, a four-channel subsampling module and a reconstruction module;

[0050] Modulation signal generating module, used to generate 4 channels of modulation signals;

[0051] The four-channel under-sampling module is used to divide the pulse train signal to be sampled into 4 channels, modulate with the 4 channels of modulation signals respectively, amplify and filter the modulated 4 channels of signals in turn, and intercept the spectrum of the pulse train signal to be sampled Discretely distributed four subbands, undersampling the four subbands;

[0052] The reconstruction module is used to obtain Fourier coefficients according to the sampled samples, and use a reconstruction algorithm to estimate the amplitude and time delay parameters of the pulse train signal to be sampled ...

Embodiment approach 2

[0067] Embodiment 2: The pulse train signal undersampling method based on the limited innovation rate of this embodiment includes:

[0068] Step 1, generate the pulse train signal to be tested, the signal form can be expressed as Among them, t∈[0,T) is the observation time, is an unknown parameter.

[0069] Step 2: Generate 4 modulation signals, the signal form is expressed as p i (t)=cos(ω i t), i=1,...,4. Among them, ω i is the modulation frequency.

[0070]

[0071] Among them, N represents the number of grids divided by the interval [0, T) on the time axis, m represents an arbitrary selected integer, ω max is the highest frequency of the pulse train signal to be sampled.

[0072] Step 3: Simulate the preprocessing process: the pulse train signal to be sampled is modulated with 4 modulation signals respectively, the modulated signal is sequentially amplified and low-pass filtered, and four discretely distributed subbands in the frequency spectrum of the pulse tr...

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Abstract

The present invention relates to a limited innovation rate-based pulse string signal undersampling system and method, and relates to the signal processing technology field. According to the present invention, by utilizing the parameterized characteristics of a pulse string signal, and by the four-channel modulation, amplification, low-pass filtering and undersampling processing, the discretely distributed Fourier coefficients in the frequency spectrum of the pulse string signal are obtained, and then the unknown amplitude and time delay parameters are reconstructed by few obtained Fourier coefficients. According to the present invention, the time delay reconstruction precision is very high, and the amplitude estimation only has a very small error.

Description

technical field [0001] The invention relates to the technical field of signal processing, in particular to a pulse train signal undersampling system and method based on a limited innovation rate. Background technique [0002] Burst signals widely exist in the fields of wireless communication, medical imaging and radar. For the sampling of this type of signal, the traditional Nyquist sampling theorem requires that the sampling rate be greater than twice the highest frequency of the signal. With the development of wireless communication technology, the time width of the pulse is getting narrower and the corresponding bandwidth is getting wider and wider, resulting in a higher and higher Nyquist sampling rate, which undoubtedly gives sampling based on the Nyquist sampling theorem. System design presents serious challenges. A higher sampling frequency requires ADC devices to have a wider analog bandwidth and sampling rate. At the same time, a high sampling rate will generate a...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): H03M1/12
Inventor 付宁黄国兴乔立岩范传智曹杰
Owner HARBIN INST OF TECH
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