Optimality property of the Gaussian window spectrogram

Optimality property of the Gaussian window spectrogram

It is shown that for any signal x ( t ) the minimum of1;-1:-[ ( t tx? + (f f)z]SP) ( t , f ) dt df Manuscript received July 18, 1988; revised May 16, 1989.The author is with Philips Research Laboratories, 5600 JA Eindhoven,IEEE Log Number 9040410.The Netherlands. 1053-587X/91/0100-0202$01.00

Optimality property of the Gaussian window spectrogram

Multiple window spectrogram and time-frequency distributions

We extend the spectrum estimation method of Thomson to non-stationary signals by formulating a multiple window spectrogram. The traditional spectrogram can be represented as a member of Cohen’s class of time-frequency distributions (TFDs), where the smoothing kernel is the Wigner distribution of the signal temporal window. We show the unusual shape of the Cohen’s class smoothing kernels corresp...

Optimality of Gaussian discord.

In this Letter we exploit the recently solved conjecture on the bosonic minimum output entropy to show the optimality of Gaussian discord, so that the computation of quantum discord for bipartite Gaussian states can be restricted to local Gaussian measurements. We prove such optimality for a large family of Gaussian states, including all two-mode squeezed thermal states, which are the most typi...

Window Design for Signal-Dependent Spectrogram using Optimal Kernel Techniques

Time-frequency distributions (TFDs) have proven useful in a wide variety of nonstationary signal processing applications. While sophisticated optimal bilinear TFDs have been developed to extract the maximum possible timefrequency information from signals, certain applications dictate simpler linear, running-FFT processing techniques. In this paper, we propose a signal-dependent short-time Fouri...