Title :
Spectral factorization and quarter-plane digital filters
fDate :
8/1/1978 12:00:00 AM
Abstract :
Two sets of necessary conditions are derived for the existence of a rational spectral factorization of a given rational function of two complex variables: partial converses of these results are given, and the implications of these conditions for the design of minimum-phase FIR filters and stable IIR filters are discussed. In particular, it is shown that these conditions are closely related to the difficulties encountered in the stabilization problem for two-dimensional IIR filters.
Keywords :
Digital filters; FIR (finite-duration impulse-response) digital filters; IIR digital filter stability; Multidimensional digital filters; Multivariable functions; Rational functions; Spectral factorizations; Convergence; Digital filters; Finite impulse response filter; Helium; IIR filters; Matched filters; Polynomials; Smoothing methods; Transfer functions; Visualization;
Journal_Title :
Circuits and Systems, IEEE Transactions on
DOI :
10.1109/TCS.1978.1084521
