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Frequency-domain method for separating signal and noise

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Abstract

A new method for separation of signal and noise (SSN) is put forward. Frequency is redefined according to the features of signal and its derivative in the sampling time interval, thus double orthogonal basis (DOB) is constructed so that a signal can be precisely signified with a linear combination of low-frequency DOB. Under joint consideration in time domain (TD) and frequency domain (FD), a method on SSN with high accuracy is derived and a matched algorithm is designed and analyzed. This method is applicable to SSN in multiple frequency bands, and convenient in applying signal characteristics in TD and FD synthetically with higher accuracy.

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Authors and Affiliations

  1. Department of Mathematics, National University of Defense Technology, 410073, Changsha, China

    Zhengming Wang & Xiaojun Duan

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  1. Zhengming Wang
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  2. Xiaojun Duan
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Wang, Z., Duan, X. Frequency-domain method for separating signal and noise. Sci. China Ser. E-Technol. Sci. 43, 9–16 (2000). https://doi.org/10.1007/BF02917132

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  • DOI: https://doi.org/10.1007/BF02917132

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