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112 IEEE TRANSACTIONS ON ACOUSTICS, SPEECH, ANDSIGNAL PROCESSING, VOL. ASSP-35. NO. I, JANUARY 1987 Correspondence
 

Summary: 112 IEEE TRANSACTIONS ON ACOUSTICS, SPEECH, ANDSIGNAL PROCESSING, VOL. ASSP-35. NO. I, JANUARY 1987
Correspondence
Two-DimensionalBlock Transforms andTheir
Properties
MAHMOOD R. AZIMI-SADJADI AND ROBERT A. KING
Abstract-For two-dimensional (2-D) digital filters implemented by
a block recursive equation, explicit relations between their frequency
characteristics and those of scalar filter are obtained. Specifically,these
include the relation between the discrete-time Fourier transform
(DTFT) of the block recursive equationand that of thescalar 2-D
difference equation,and the relationbetween the block matrix transfer
function of the block processor and the scalartransfer function. These
relations that are independent of the type of realization of the block
processor have been obtained using the eigenvalue properties of a spe-
cial type of circulant matrix introduced in thiscorrespondence.
I. INTRODUCTION
The idea of processing sequences in blocks arose in connection
with the desire to accomplish recursive filtering operations using
fast transformtechniques [l]. Later, itwasfoundthat theblock
processing alsoexhibitsseveralother prominentbenefitssuchas

  

Source: Azimi-Sadjadi, Mahmood R. - Department of Electrical and Computer Engineering, Colorado State University

 

Collections: Computer Technologies and Information Sciences