AN OPTIMUM TIME-SCALE FOR DISCRETE LAGUERRE NETWORK

Any discrete time stable transfer function can be expressed by a discr ete time Laguerre series with a chosen time scale. In this note, we wi ll derive an optimum time scale such that an index is minimized. This index ensures the coefficients of higher order Laguerre functions go t owards zero quickly. The solution derived requires the knowledge of th e impulse response of the discrete plant. Cases of first order plants, second order under-damped plants and plants with multiunit delay are also discussed.