A Unified Signal Algebra Approach to Two-Dimensional by Louis A. D'Alotto, Charles R. Giardina, Hua Luo

By Louis A. D'Alotto, Charles R. Giardina, Hua Luo

Goals to bridge the distance among parallel machine architectures and the construction of parallel electronic sign processing (DSP) algorithms. This paintings bargains an method of electronic sign processing using the unified sign algebra atmosphere to advance evidently happening parallel DSP algorithms. collage or collage publication retailers may well order 5 or extra copies at a different scholar expense. expense is offered on request.

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Fundamental Operations on Two Dimensional Signale 48 a 4 5 O diagonal reflection. These are respectively denoted by HOR, V E R T , and DIFLIP. They are defined by: )(W = f (4 - j > V E R T U) ( i , j >= f (-4j) and DIFLIP( f)(i,j) = f(j,i) Thefollowingblockdiagramsillustratetheseoperationsandalso show that they are terms. The output of thefollowingtwoblock diagrams is H O R ( f ) . f - REFLECT NINETY - The outputof each ofthe following two block diagrams V EisR T (f). 6. Terms Involving FundamentalDomainInduced Operations 49 The output of each of the following two block diagramsis D I F L I P ( f ) .

TermsInvolvingFundamentalDomainInduced Operations 45 or and f -NINETY - NINETY c NINETY - N3(f) or What is of additional consequenceis that a general translationoperation can be formed using theSHIFT and NINETY operations. O n < 0,m 2 0 N3S-mNSn(f) nlO,m

These are defined by f (n,m ) whenever f (n,m ) > 0 otherwise and -f (n,m ) whenever f ( n ,m ) < 0 otherwise Note that the result of applying either the positive part operation or the negative part operation to an arbitrary function results in a function which is never negative in value. The positive part operation has the block diagram Similarly, the negative part operation has the block representation: n Both of these operations are terms since f + = fVOz whereas f- = -(f A OZ) 26 2. 6 Again consideef.

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