Linear Canonical Wigner Distribution Based Noisy LFM Signals Detection Through the Output SNR Improvement Analysis
作者： Zhichao Zhang
关键词:
摘要: In our previous work, we addressed a unified representation problem on Wigner distribution (WD) in linear canonical transform (LCT) domains by introducing kind of closed-form instantaneous cross-correlation function type (CICFWD) that can be regarded as the WD's domain. We then discussed application CICFWD detection frequency-modulated (LFM) signals through numerical simulation analysis approach, and it turns out there is causation between LCT free parameters performance. The main contribution this paper to provide mathematical model for causality order disclose intrinsic mechanism non-stationary signal performance improvement triggered parameters. first revisit definition CICFWD, establish some related theories including its essential properties discretization. formulate theory foundation output signal-to-noise ratio (SNR) improvement, an SNR inequality relation traditional WD general noisy signal, discuss how solve come Within well-established framework, also explore selection results LFM added with white noise. Finally, experiments are carried validate correctness strategies determination feasibility approach.
harvard.edu
sci-hub.se 参考文章(47)
Zeev Zalevsky, Haldun M Ozaktas, M Kutay-Alper, The Fractional Fourier Transform: with Applications in Optics and Signal Processing ,(2001)
Zhi-Chao Zhang, New Wigner distribution and ambiguity function based on the generalized translation in the linear canonical transform domain Signal Processing. ,vol. 118, pp. 51- 61 ,(2016) , 10.1016/J.SIGPRO.2015.06.010
Chandrakant J Gaikwad, Hemant K Samdani, Pradip Sircar, Signal parameter estimation using fourth order statistics: multiplicative and additive noise environment. SpringerPlus. ,vol. 4, pp. 291- 291 ,(2015) , 10.1186/S40064-015-1085-5
Xiaolong Chen, Jian Guan, Ningbo Liu, Wei Zhou, You He, Detection of a Low Observable Sea-Surface Target With Micromotion via the Radon-Linear Canonical Transform IEEE Geoscience and Remote Sensing Letters. ,vol. 11, pp. 1225- 1229 ,(2014) , 10.1109/LGRS.2013.2290024
Pei Dang, Guan-Tie Deng, Tao Qian, A Tighter Uncertainty Principle for Linear Canonical Transform in Terms of Phase Derivative IEEE Transactions on Signal Processing. ,vol. 61, pp. 5153- 5164 ,(2013) , 10.1109/TSP.2013.2273440
Kai-Tai Fang, Dennis K.J. Lin, Peter Winker, Yong Zhang, Uniform Design: Theory and Application Technometrics. ,vol. 42, pp. 237- 248 ,(2000) , 10.1080/00401706.2000.10486045
Che Tian-Wen, Li Bing-Zhao, Xu Tian-Zhou, The ambiguity function associated with the linear canonical transform EURASIP Journal on Advances in Signal Processing. ,vol. 2012, pp. 138- ,(2012) , 10.1186/1687-6180-2012-138
Stuart A. Collins, Lens-System Diffraction Integral Written in Terms of Matrix Optics Journal of the Optical Society of America. ,vol. 60, pp. 1168- 1177 ,(1970) , 10.1364/JOSA.60.001168
R. Tao, Y.E. Song, Z.J. Wang, Y. Wang, Ambiguity function based on the linear canonical transform Iet Signal Processing. ,vol. 6, pp. 568- 576 ,(2012) , 10.1049/IET-SPR.2011.0320
Zhichao Zhang, Maokang Luo, New Integral Transforms for Generalizing the Wigner Distribution and Ambiguity Function IEEE Signal Processing Letters. ,vol. 22, pp. 460- 464 ,(2015) , 10.1109/LSP.2014.2362616