Stephan Ramon Garcia, Samuel Yih
Abstract
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Using supercharacter theory, we identify the matrices that are diagonalized by the discrete cosine and discrete sine transforms, respectively. Our method affords a combinatorial interpretation for the matrix entries.
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Using supercharacter theory, we identify the matrices that are diagonalized by the discrete cosine and discrete sine transforms, respectively. Our method affords a combinatorial interpretation for the matrix entries.
Key concepts: Sine, Sine and cosine transforms, Fourier sine and cosine series, Discrete cosine transform, Discrete sine transform, Trigonometric functions, Discrete Fourier transform (general), Fourier transform