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

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

ISBN-10: 0585387966

ISBN-13: 9780585387963

ISBN-10: 0824700252

ISBN-13: 9780824700256

Goals to bridge the space among parallel machine architectures and the production of parallel electronic sign processing (DSP) algorithms. This paintings deals an method of electronic sign processing using the unified sign algebra atmosphere to advance evidently happening parallel DSP algorithms. collage or collage booklet retailers may perhaps order 5 or extra copies at a different scholar expense. fee is obtainable on request.

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Extra resources for A Unified Signal Algebra Approach to Two-Dimensional Parallel Digital Signal Processing

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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. O n < 0,m 2 0 N3S-mNSn(f) nlO,m

Then Id= ( 2 1 3 O )O 3,4 and whereas 0 1 0 g-=(o 0 0)O 394 We have shown that the macro operations: SQ,M I N U S , M I N , ABS, POS and NEG are all terms. Thisfollows sinceeach operation was obtained by using the three range induced fundamental operations along with function composition. It follows that any expression involving the six macro operations above, will equivalently involve the three fundamental range induced operations. In subsequent sections, these macro operations will be used in providing additional terms as well as more advanced algorithms forprocessing digital signals.

2 Terms Involving Fhndamental Range Induced Operations We will now apply the three fundamental operations, given in the last section, in succession to various signals. induced operations along with function composition. The resulting operations are called terns or macro operations. One of the most simple macro operations is the unary square law device, denoted SQ. We will also write f 2 instead of SQ( f ) . 2. Terms Involving FundamentalRangeInduced Operations 21 The reason why SQ is a term, is that the output of is also SQ(f).

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

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