The Complex Reverse Jacket Transform
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초록
A novel discrete unitary orthogonal transform is introduced in this paper, namely the Complex Reverse Jacket Transform (CRJT). This transform has 4 elements such as {1, -1, +j, -j}, which are generated based on the Center Weighted Hadamard Matrix (CWHM). The CRJT belongs to the family of discrete orthogonal transformations and it is analogous to Discrete Fourier Transform (DFT) to deal with complex inputs. To deal with complex signals, the CRJT has some inherent computational advantages, and can be used to analyze and synthesize complex input functions. The CRJT can be applied in several areas of information processing, sequence filtering and optimally flat spectrum for cryptography and useful for finite fields of constructing error control codes.
Abstract
A novel discrete unitary orthogonal transform is introduced in this paper, namely the Complex Reverse Jacket Transform (CRJT). This transform has 4 elements such as {1, -1, +j, -j}, which are generated based on the Center Weighted Hadamard Matrix (CWHM). The CRJT belongs to the family of discrete orthogonal transformations and it is analogous to Discrete Fourier Transform (DFT) to deal with complex inputs. To deal with complex signals, the CRJT has some inherent computational advantages, and can be used to analyze and synthesize complex input functions. The CRJT can be applied in several areas of information processing, sequence filtering and optimally flat spectrum for cryptography and useful for finite fields of constructing error control codes.