## Orthogonal transforms for digital signal processing |

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2-dimensional Ahmed algorithm to compute Andrews Applications of Walsh Audio and Electroacoustics autocorrelation binary bit-reversal Bx(k Chapter classifier consider convolution correlation corresponding covariance matrix crosscorrelation Cx(k data compression data sequence X(m decision boundary denotes developed diagonal discrete cosine transform discrete Fourier transform discriminant functions equations evaluate example extension of x(t Fast Fourier Transform feature selection feature space follows Fourier series given Gray code Haar functions Hadamard Transform IEEE Trans illustrated Image Processing inverse iteration matrix factors mean-square error MWHT obtain Orthogonal Functions orthogonal transforms Parseval's theorem Pattern Recognition periodic extension phase spectra power and phase power spectrum Prob Proc respectively sampling shown in Fig signal flow graph signal x(t slant Special Issue spectral point Substitution of Eq training set transform matrix vector Walsh Functions Walsh-Hadamard Transform WHT)ft WHT)W Wiener filtering Xk(s xp(t yields yp(t Zxy(r