By Topic

Implementation of the generalized FIR filter structure using the residue arithmetic

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

3 Author(s)
Krishnan, R. ; University of South Alabama, Alabama, USA ; Jullien, G.A. ; Miller, W.C.

Very recently, the Quadratic Residue System (QRNS) has been introduced [3,4,5]. Using the QRNS complex multiplication can be performed with two base field multiplication and zero additions. The primary restriction is the limited form of the moduli set for RNS operations. The QRNS has since been geralized for any type of moduli set with an increase in multiplication from 2 to 3 and the resulting number system has been termed Modified Quadratic Residue Number System (MQRNS) [1,2]. In [9] a recursive FIR filter has been developed using the Complex Number Theoretic z-transform (CNT z-transform). Recently, in [6], the implementation of this recursive FIR filter structure has been presented using the QRNS and the MQRNS. Extension of this implementation to generalized FIR filter (Lagrange) has also been briefly presented in [6]. In this paper, we consolidate the implementation aspects of the generalized FIR filter using the MQRNS and also prove that the QRNS is not a suitable medium for the implementation.

Published in:

Acoustics, Speech, and Signal Processing, IEEE International Conference on ICASSP '87.  (Volume:12 )

Date of Conference:

Apr 1987