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• W2977164611 endingPage "105025" @default.
• W2977164611 startingPage "105025" @default.
• W2977164611 abstract "Due to the requirement of signal representation’s flexibility for strong noise interference in non-stationary signal processing, the traditional Choi–Williams distribution (CWD) is extended to the linear canonical domain by using a well-established closed-form instantaneous cross-correlation function (CICF) type of linear canonical transform (LCT) free parameters embedded approach. The derived CICF type of CWD (CICFCWD) unifies all of the linear canonical Choi–Williams distributions, and can be considered as the CWD’s closed-form representation in linear canonical domains. The CICFCWD of a discrete-time signal defined by the sampling equation is discussed for the requirement of digital signal analysis and processing. To break through the limitation that the existing research techniques are limited to quantitative analysis based on numerical simulations, a qualitative analysis to output signal-to-noise ratio (SNR) inequality between the traditional CWD and the CICFCWD for a general noisy signal is introduced, including the inequality modeling and solving. Within this output SNR improvement analysis framework, the strategies on determination LCT free parameters for linear frequency-modulated (LFM) signals added with white noise are developed. Numerical experiments are also carried out to validate the correctness of LCT free parameters selection results and the feasibility of output SNR improvement analysis approach." @default.
• W2977164611 created "2019-10-03" @default.
• W2977164611 creator A5019139250 @default.
• W2977164611 date "2020-03-01" @default.
• W2977164611 modified "2023-09-30" @default.
• W2977164611 title "Choi–Williams distribution in linear canonical domains and its application in noisy LFM signals detection" @default.
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• W2977164611 doi "https://doi.org/10.1016/j.cnsns.2019.105025" @default.
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