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Wavelet transform on signal processing of the pulse laser radar

Yongjiang Dai, Quan Xiao, Yuan Zhe Zhao, Xiaoou Wang

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Abstract

A wavelet analysis is a time-frequency domain analysis between the time-domain analysis and the Fourier frequency- domain analysis, that is, a wavelet function is considered as integral kernel of a wavelet transform, characterized by well-localized property of time-frequency domain. A wavelet function is converted by a mother wavelet shifting and flexing. The sampling interval is self-adjusted, as the signal frequency components are different. So the signal detail can be focused on at will. In this paper, a novel method is presented to detect a rectangle-pulse signal of pulse laser radar, which is submerged from noise, by means of the wavelet transform. As to rectangle-signal, the wavelet transform coefficient can be obtain the maximum value by selecting a couple of optimum wavelet variables and a filter comes into being so that the signal noise ratio is improved to detect the signal.

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What this paper is about

A wavelet analysis is a time-frequency domain analysis between the time-domain analysis and the Fourier frequency- domain analysis, that is, a wavelet function is considered as integral kernel of a wavelet transform, characterized by well-localized property of time-frequency domain. A wavelet function is converted by a mother wavelet shifting and flexing. The sampling interval is self-adjusted, as the signal frequency components are different. So the signal detail can be focused on at will. In this paper, a novel method is presented to detect a rectangle-pulse signal of pulse laser radar, which is submerged from noise, by means of the wavelet transform. As to rectangle-signal, the wavelet transform coefficient can be obtain the maximum value by selecting a couple of optimum wavelet variables and a filter comes into being so that the signal noise ratio is improved to detect the signal.

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Available abstract

A wavelet analysis is a time-frequency domain analysis between the time-domain analysis and the Fourier frequency- domain analysis, that is, a wavelet function is considered as integral kernel of a wavelet transform, characterized by well-localized property of time-frequency domain. A wavelet function is converted by a mother wavelet shifting and flexing. The sampling interval is self-adjusted, as the signal frequency components are different. So the signal detail can be focused on at will. In this paper, a novel method is presented to detect a rectangle-pulse signal of pulse laser radar, which is submerged from noise, by means of the wavelet transform. As to rectangle-signal, the wavelet transform coefficient can be obtain the maximum value by selecting a couple of optimum wavelet variables and a filter comes into being so that the signal noise ratio is improved to detect the signal.

Key concepts: Wavelet, Second-generation wavelet transform, Discrete wavelet transform, Wavelet packet decomposition, Wavelet transform, Stationary wavelet transform, Harmonic wavelet transform, Fast wavelet transform

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