The paper introduces a new kernel for the design of a high resolution time–frequency distribution (TFD). We show that this distribution can solve problems that the Wigner–Ville distribution (WVD) or the spectrogram cannot. In particular, the proposed distribution can resolve two close signals in the time–frequency domain that the two other distributions cannot. Moreover, we show that the propos...

The large variance of the Wigner Ville distribution makes smoothing essential for producing readable estimates of the time varying power spectrum of noise corrupted signals Since linear smoothing trades reduced variance for increased bias of the signal components we explore two nonlinear estimation techniques based on soft thresholding in an orthonormal basis representation Soft thresholding pr...

In this paper, we propose the peak of the polynomial Wigner-Ville distribution as an instantaneous frequency estimator for polynomial frequency modulated signals in the presence of multiplicative and additive complex Gaussian processes. We show that this estimator is unbiased and we derive an analytic expression of its asymptotic variance. Simulation results, based on Monte-Carlo realisations, ...

New generations of spark ignition engines require a correct ignition adjustment to guarantee optimal performance. In this paper, we address the challenge of knock detection improvements with time-frequency analysis. Two real time knock detection methodologies based on the sliding Discrete Fourier Transform and the pseudo Wigner-Ville distribution are exposed. Their relative performances and rob...

Based upon the sparse array composed of cluster SAR satellites, this paper analyzes the space-time and space-frequency characteristic of the received signal in detail, and proposes an algorithm for the moving targets detection and imaging based on array signal processing and Wigner-Ville Distribution (WVD). The results of theoretical analysis and simulation show that the cluster SAR system can ...