INCREASING THE SINE-COSINE TRANSFORMATION ACCURACY IN SIGNAL APPROXIMATION AND INTERPOLATION
V. M. Efimov, A. L. Reznik, and Yu. V. Bondarenko
Institute of Automation and Electrometry, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia, E-mail: reznik@iae.nsk.su, bjuv@iae.nsk.su
Pages: 218-227
Abstract
Sine-cosine transformations on the interval -0.5T ≤ t ≤ 0.5T, which are equivalent to a cosine transformation on the interval 0 ≤ t ≤ 0, are considered. Relationships for the error variance of signal reconstruction are obtained. Depending on the a priori information on the signal, the relationships make it possible to choose for its representation the most suitable orthogonal expansion. A stationary random signal model is used for comparing the expansion with a conventional sine-cosine transformation.
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