By Topic

Scale-invariant nonlinear digital filters

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

1 Author(s)
R. K. Pearson ; Int. Center for Signal Process., Tampere Univ. of Technol., Finland

Many signal processing applications involve procedures with simple, known dependences on positive rescalings of the input data; examples include correlation and spectral analysis, quadratic time-frequency distributions, and coherence analysis. Often, system performance can be improved with pre- and/or post-processing procedures, and one of the advantages of linear procedures (e.g., smoothing and sharpening filters) is their scale-invariance (xk→yk implies λxk→λyk). There are, however, important cases where linear processing is inadequate, motivating interest in nonlinear digital filters. This paper considers the general problem of designing nonlinear filters that exhibit the following scaling behavior: xk→yk implies λxk→λνyk for some ν>0, with particular emphasis on the case v=1. Results are presented for two general design approaches. The first is the top-down design of these filters, in which a relatively weak structural constraint is imposed (e.g., membership in the nonlinear FIR class), and a complete characterization is sought for all filters satisfying the scaling criterion for some fixed ν. The second approach is the bottom-up design of filters satisfying specified scaling behavior by interconnecting simpler filter structures with known scaling behavior. Examples are presented to illustrate both the simplicity and the utility of these design approaches

Published in:

IEEE Transactions on Signal Processing  (Volume:50 ,  Issue: 8 )