M. Kasparyan
Abstract
We introduce a generalized sine-cosine transform (GSCT). Analytical conditions of orthogonality of these transformations are derived. A theorem that allows one to find the relation between the GSCT coefficients in the orthogonal case is proven. Fast algorithms for computing the GSCT are considered and their complexity is analyzed.
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We introduce a generalized sine-cosine transform (GSCT). Analytical conditions of orthogonality of these transformations are derived. A theorem that allows one to find the relation between the GSCT coefficients in the orthogonal case is proven. Fast algorithms for computing the GSCT are considered and their complexity is analyzed.
Key concepts: Orthogonality, Discrete cosine transform, Sine, Discrete sine transform, Trigonometric functions, Mathematics, Modified discrete cosine transform, Sine and cosine transforms