On the equivalence of the operator and kernel methods for joint distributions of arbitrary variables

On the Equivalence of the Operator and Kernel Methods for Joint Distributions of Arbitrary Variables - Signal Processing, IEEE Transactions on

Generalizing the concept of time-frequency representations, Cohen has recently proposed a method, based on operator correspondence rules, for generating joint distributions of arbitrary variables. As an alternative to considering all such rules, which is a practical impossibility in general, Cohen has proposed the kernel method in which different distributions are generated from a fixed rule vi...

A Limitation of the Kernel Methodfor Joint Distributions of Arbitrary

|Recently, Cohen has proposed a construction for joint distributions of arbitrary physical quantities , in direct generalization of joint time-frequency representations. Actually this method encompasses two approaches, one based on operator correspondences and one based on weighting kernels. The literature has emphasized the kernel method due to its ease of analysis; however, its simplicity com...

Comparison of the Gamma kernel and the orthogonal series methods of density estimation

The standard kernel density estimator suffers from a boundary bias issue for probability density function of distributions on the positive real line. The Gamma kernel estimators and orthogonal series estimators are two alternatives which are free of boundary bias. In this paper, a simulation study is conducted to compare small-sample performance of the Gamma kernel estimators and the orthog...

Some equivalence classes of operators on B(H)

ISAR Image Improvement Using STFT Kernel Width Optimization Based On Minimum Entropy Criterion

Nowadays, Radar systems have many applications and radar imaging is one of the most important of these applications. Inverse Synthetic Aperture Radar (ISAR) is used to form an image from moving targets. Conventional methods use Fourier transform to retrieve Doppler information. However, because of maneuvering of the target, the Doppler spectrum becomes time-varying and the image is blurred. Joi...