A Weighted Decomposition of the Wigner Distribution
نویسندگان
چکیده
The Wigner distribution (WD) can be decomposed into a linear combination of elementary WDs. Slow-oscillatory elementary WDs and fast-oscillatory elementary WDs mainly contribute to auto-terms and cross-terms, respectively. Using a weight function to keep slow-oscillatory elementary WDs and attenuate fast-oscillatory elementary WDs, one can balance auto-term resolution and cross-term suppression and obtain a weighted Wigner distribution (WWD).
منابع مشابه
Pathologies cardiac discrimination using the Fast Fourir Transform (FFT) The short time Fourier transforms (STFT) and the Wigner distribution (WD)
This paper is concerned with a synthesis study of the fast Fourier transform (FFT), the short time Fourier transform (STFT and the Wigner distribution (WD) in analysing the phonocardiogram signal (PCG) or heart cardiac sounds. The FFT (Fast Fourier Transform) can provide a basic understanding of the frequency contents of the heart sounds. The STFT is obtained by calculating the Fourier tran...
متن کاملThe Quantum Statistical Mechanical Theory of Transport Processes
A new derivation of the quantum Boltzmann transport equation for the Fermion system from the quantum time evolution equation for the wigner distribution function is presented. The method exhibits the origin of the time - irreversibility of the Boltzmann equation. In the present work, the spin dependent and indistinguishibility of particles are also considered.
متن کاملEliminating interference terms in the Wigner distribution using extended libraries of bases
The Wigner distribution (WD) possesses a number of desirable mathematical properties relevant time-frequency analysis. However, the presence of interference terms renders the WD of multicomponent signals extremely di cult to interpret. In this work, we propose an adaptivedecomposition of the WD using extended libraries of orthonormal bases. A prescribed signal is expanded on a basis of adapted ...
متن کاملAdaptive Time - Frequency Distributions via Theshift - Invariant Wavelet Packet
Utilizing the Shift-Invariant Wavelet Packet Decomposition (SIWPD), various useful properties relevant to time-frequency analysis, including high energy concentration and suppressed interference terms, can be achieved simultaneously in the Wigner domain. A prescribed signal is expanded on its best basis and transformed into the Wigner domain. Subsequently, the interference terms are eliminated ...
متن کامل