Cart (Loading....) | Create Account
Close category search window

Optimal design of digital Hilbert transformers with a concavity constraint

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
$31 $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)
Steiglitz, K. ; Princeton University, Princeton, NJ

A linear programming algorithm is described for designing FIR digital filters with the constraint that the magnitude response be concave over prescribed frequency bands. This is applied to odd-length Hilbert Transformers, and computational results are given. The concavity constraint avoids the ripple of the minimax design, and retains the advantage of maintaining half-band symmetry in the case of symmetric transition bands, so that alternate impulse response samples are zero. If N is the length of the impulse response, ΔF the (symmetric) transition width, and δ the maximum error, it is found thatNDeltaF/log_{10}^{/delta} approx -1.1, as opposed to the value of -0.61 in the minimax case (with ripple) reported by Rabiner and Schafer. Thus, the price paid for the absence of ripples is about twice the number of multiplications per sample.

Published in:

Acoustics, Speech, and Signal Processing, IEEE International Conference on ICASSP '79.  (Volume:4 )

Date of Conference:

Apr 1979

Need Help?

IEEE Advancing Technology for Humanity About IEEE Xplore | Contact | Help | Terms of Use | Nondiscrimination Policy | Site Map | Privacy & Opting Out of Cookies

A not-for-profit organization, IEEE is the world's largest professional association for the advancement of technology.
© Copyright 2014 IEEE - All rights reserved. Use of this web site signifies your agreement to the terms and conditions.