By Topic

Weighted time-frequency and time-scale transforms in reproducing kernel Hilbert spaces

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$33 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

3 Author(s)
L. H. Sibul ; Appl. Res. Lab., Pennsylvania State Univ., University Park, PA, USA ; L. G. Weiss ; R. K. Young

Motivated by the time-frequency, time-scale (TF/TS) implementation of a maximum likelihood detector for transient signals in nonstationary Gaussian noise, we define weighted TF/TS transforms using reproducing kernel Hilbert space (RKHS) inner products. Inverses of these weighted TF/TS transforms are also given. The particular case of the weight being the inverse noise covariance is presented. The weighted TF/TS transforms turn out to be natural transforms for solving nonstationary detection, estimation, and filtering problems, and have important applications to transient signal estimation in multipath channels with colored nonstationary Gaussian noise.

Published in:

IEEE Signal Processing Letters  (Volume:4 ,  Issue: 1 )