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Efficient signal sampling and signal reconstruction method based on fri time-frequency domain comprehensive analysis
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A comprehensive analysis and signal reconstruction technology, applied in the direction of baseband system components, etc., can solve the problem that the sampling effect cannot be obtained
Active Publication Date: 2018-06-22
HARBIN INST OF TECH
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[0005] It can be seen that the best sampling effect cannot be obtained only from the time domain or frequency domain, that is, using as few points as possible to represent the information contained in the signal
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specific Embodiment approach 1
[0099] Specific embodiment one, based on the FRI time-frequency domain comprehensive analysis signal high-efficiency sampling and signal reconstruction method, realized by the following steps:
[0100] Step 1. For the original signal x n Do FFT transformation (Fast Fourier Transformation), that is, fast Fourier transformation. The specific expression of the transformation is as follows:
[0101]
[0102] Among them, with W n To represent
[0103] Through (1) formula can get y k . This process converts the time domain signal to the frequency domain. Make its spectrogram and perform spectrum analysis. Then, the high-pass filter and low-pass filter are used to divide the signal into higher frequency components and lower frequency domain components.
[0104] Step 2. Using the frequency point f of the spectrum k with amplitude a k to record information about higher frequency components. And the higher frequency components are filtered out from the original signal thro...
specific Embodiment
[0159] This sampling scheme is applicable to any continuous signal. In order to verify the high efficiency of the sampling scheme and the accuracy of the recovered signal in the present invention, we take a relatively complex signal as an example.
[0166] The waveform diagram of the original signal can be drawn as Figure 4 shown.
[0167] Perform FFT transformation on the original signal to convert the time domain signal into the frequency domain, and the spectrum diagram that can be obtained is as follows Figure 5 shown. Through the spectrogram, the maximum frequency of the signal can be 10000Hz. If the Nyquist sampling law is used, the sampling frequency must be greater than 20000Hz. ...
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Abstract
The invention provides a signal efficient sampling and reconstruction method based on FRI time-frequency domain comprehensive analysis and relates to the technical field of information and communication. The signal efficient sampling and reconstruction method based on FRI time-frequency domain comprehensive analysis aims to lower Nyquist sampling frequency of signals and improve the sampling accuracy of the signals. In a frequency domain, a frequency spectrum line is used for recording information of high-frequency components of the signals, and the frequency is subjected to logarithm taking and normalized, so that the frequency domain is further compressed. In a time domain, a line segment fitting method is proposed, and time-frequency signals with low frequency are compressed. Since the signals are sampled efficiently in the frequency domain and the time domain, the requirement for the signal sampling quantity is substantially lowered; the signals are processed and recovered in the time domain and the frequency domain according to the FRI theory; meanwhile, the types of the signals capable of being processed according to he FRI theory are expanded, so discrete Dirac flow and continuous signals with high frequency can be both processed according to the FRI theory. The signal efficient sampling and reconstruction method based on FRI time-frequency domain comprehensive analysis is applicable to the signal sampling and reconstruction process.
Description
technical field [0001] The invention relates to the technical field of information and communication, in particular to a method for efficiently sampling signals. Background technique [0002] A digital communication system consists of a source, a source encoder, a channel encoder, a modulator, a channel, a demodulator, a channel decoder, a source decoder, and a sink. Among them, the source coder completes the process of signal sampling, quantization and coding. Therefore, sampling is one of the necessary steps in the communication process. The number of sampling points directly affects the calculation amount of subsequent signal processing. At present, in most cases, the Nyquist sampling theorem is used as the main sampling scheme. The Nyquist sampling law states that when the sampling frequency f s Greater than the highest frequency f in the signal max 2 times that of f s ≥2f max , the digital signal after sampling completely retains the information in the original s...
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