Accurate representation of time-varying signals using mixed transforms with applications to speech

Wasfy B. Mikhael, Andreas Spanias · IEEE Transactions on Circuits and Systems · 1989

Basis functions from two transforms, the discrete Fourier transform (DFT) and the Walsh-Hadamard transform are used. An iterative algorithm to implement the mixed representation is developed. A finite number of DFT components, either fixed or variable, is used to represent the selective (narrowband) dominant spectrum of the signal on a frame-by-frame basis. The whitened (broadband) residual signal is represented using a small number of Walsh components. The mixed partial sets are applied to speech representation. Preliminary results and informal listening using this model produced good quality speech.>

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