Derive the relation (boldsymbol{Phi}=mathbf{W} Psi) where (mathbf{W}) is the Walsh matrix, (boldsymbol{Phi}) is the Walsh function vector,

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Derive the relation \(\boldsymbol{\Phi}=\mathbf{W} \Psi\) where \(\mathbf{W}\) is the Walsh matrix, \(\boldsymbol{\Phi}\) is the Walsh function vector, \(\Psi\) is the block pulse function vector of appropriate orders.

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Control System Analysis And Identification With MATLAB Block Pulse And Related Orthogonal Functions

ISBN: 246725

1st Edition

Authors: Anish Deb, Srimanti Roychoudhury

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Question Posted: Feb 05, 2024 11:00 PM

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Show that the Walsh matrix \(\mathbf{W}\) has the property \(\mathbf{W}_{(m)}^{2}=m \mathbf{I}_{(m)}\), where each of the matrices is of order \(m\).
G. P. Rao and T. Srinivasan, Analysis and synthesis of dynamic systems containing time delays via block-pulse functions, Proc. IEE, vol. 125, no. 9, pp. 1064-1068, 1978.
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Derive the relation (boldsymbol{Phi}=mathbf{W} Psi) where (mathbf{W}) is the Walsh matrix, (boldsymbol{Phi}) is the Walsh function vector,

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The relation W represents the conversion of block pulse function coefficients to Walsh function coef...View the full answer

Control System Analysis And Identification With MATLAB Block Pulse And Related Orthogonal Functions

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