Modelling the noise influence associated with the discrete linear canonical transform
| Autor: | Bing-Zhao Li, Yi-Ping Bao |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Signal processing
Covariance matrix Gaussian 020206 networking & telecommunications 02 engineering and technology 01 natural sciences 010309 optics symbols.namesake Noise Distribution (mathematics) Additive white Gaussian noise Fourier transform 0103 physical sciences Signal Processing 0202 electrical engineering electronic engineering information engineering symbols Applied mathematics Time domain Electrical and Electronic Engineering Mathematics |
| Zdroj: | IET Signal Processing. 12:756-760 |
| ISSN: | 1751-9683 1751-9675 |
| Popis: | In this study, the properties of noise after a discrete linear canonical transform (DLCT) are analysed. First, the authors prove that the DLCT of noise can be modelled by a Gaussian distribution with very weak assumptions on the noise in the time domain. Then, the mean and covariance matrix of this Gaussian distribution is derived and the general trend of the noise after DLCT is described. In addition, they find that the properties of noise in the LCT domain are the generalisation of the properties of noise in the Fourier transform domain. What is more, the authors prove that the additive white Gaussian noise (AWGN) is still an AWGN after performing the DLCT. Finally, the simulations are performed to verify the effectiveness of the obtained results. |
| Databáze: | OpenAIRE |
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