By Louis A. D'Alotto, Charles R. Giardina, Hua Luo
Goals to bridge the space 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 surroundings to advance obviously taking place parallel DSP algorithms. collage or college booklet retailers could order 5 or extra copies at a different pupil fee. cost is on the market on request.
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Extra resources for A Unified Signal Algebra Approach to Two-Dimensional Parallel Digital Signal Processing
S ... W.. ... 0 0 0 0 0 a . 0 0 0 0 0 1 0 0 0 . 0 0 0 0 0 . a.. ... ... . . . m Various other reflection type operations exist besides the transpose type reflection D . Specifically, there is a horizontal, a vertical, and 2. 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.
L . 2. Fundamental Operations on Two Dimensional Signals 44 Successive applicationsof the ninety degree rotation produces various other rotations. The 180° rotation of f is given by N 2 ( f ) ;the 270° rotation of f is given by N 3 ( f ) . 6. 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.
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 ) . 19, then W >=(3 2 )O-1,-1 and Also, and V E R T ( f )= D N ( f ) - - Finally, N 2 ( f >= (3 ( )O -1,o )I,,, 2. Fundamental Operations on Two Dimensional Signals 50 and DIFLIP = D N 2 (f) = ( 2 3 )'011 The only possible configuration which was not found using combinations of operations N and D on f, thus far, is In theprevious example,an image f was used in illustratingHOR, V E R T , DIFLIP reflection type operations and the N 3 operations.
A Unified Signal Algebra Approach to Two-Dimensional Parallel Digital Signal Processing by Louis A. D'Alotto, Charles R. Giardina, Hua Luo