Journal
Scientific and technical journal «Priborostroenie»
UDK519.61; 004.02; 004.67
Issue:3 (59)
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ON REDUCTION OF SPACE DIMENSION AT DIGITAL SIGNALS CORRELATION AND CONVOLUTION
Annotation
Theorems on reduction of space dimension at correlation and convolution of n-dimensional digital signals are formulated and proved, specifically for fast convolution on the base of the fast Fourier transformation. Several examples are presented as illustrations. The theorems are reported to have possible applications in the problems of digital processing of n-dimensional signal, broadband radio communication, optoelectronics, in solitary waves (solitons) research, and in other fields of fundamental and applied natural sciences.
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