T. Hinamoto et al., ERROR SPECTRUM SHAPING IN 2D STATE-SPACE DIGITAL-FILTERS USING ERROR DIAGONAL FEEDBACK, Electronics and communications in Japan. Part 3, Fundamental electronic science, 81(1), 1998, pp. 79-90
This paper discusses error spectrum shaping for 2D state-space digital
filters. In order to reduce cost by reducing the total number of para
meters, a method of analytic design is proposed in which the error fee
dback coefficient is specified by a diagonal matrix. The proposed algo
rithm has the feature that the optimal error feedback coefficient can
be designed analytically in closed form by minimizing a quadratic form
. The validity of the proposed algorithm is demonstrated with a numeri
cal example. The noise reduction effect where the subdecimal part of t
he optimal coefficient is rounded by the power of 2 is also demonstrat
ed. (C) 1998 Scripta Technica.