Title :
Synthesis of linear time-varying systems by Fourier approximation in the frequency domain
Author_Institution :
University of New South Wales, School of Electrical Engineering, Sydney, Australia
fDate :
6/1/1964 12:00:00 AM
Abstract :
A digital-computer formulation of the delay-line-synthesiser technique is developed, and the need for pre- and postfiltering to avoid aliasing effects is emphasised. This leads naturally to Fourier-series approximation and the least-squares error criterion. Special attention is given to numerical methods of calculating the optimum set of weights for the delay-line synthesiser, ¿factors are proposed for smoothing the approximation in the frequency domain; they appear to have a slight computational advantage, compared with the ¿factors of Lanczos. A hybrid-computer method is proposed for solving the finite trigonometric-series expression for the optimum weights. The proposed method almost halves the number of arithmetic operations required by numerical analysis alone.
Keywords :
automatic control; computer applications;
Journal_Title :
Electrical Engineers, Proceedings of the Institution of
DOI :
10.1049/piee.1964.0180