Title :
Reflections on Levinson´s recursion [lattice filters]
Author :
Mazel, David S. ; Hayes, Monson H., III
Author_Institution :
Sch. of Electr. Eng., Georgia Inst. of Technol., Atlanta, GA, USA
Abstract :
Levinson´s recursion allows for the parameterization of an all-zero or an all-pole filter in terms of a sequence of reflection coefficients. Such a parameterization leads to a simple stability test for filters and serves as the foundation for the lattice filter structure. The properties of the mapping from the reflection coefficient sequence to the system function are considered. It is shown that, in many cases, they parallel the properties of the mapping from the filter coefficients to the system function
Keywords :
Z transforms; digital filters; filtering and prediction theory; recursive functions; FIR filter; Levinson´s recursion; Z-transform; all-pole filter; all-zero filter; lattice filter structure; mapping; reflection coefficients; stability test; system function; Autocorrelation; Equations; Finite impulse response filter; Lattices; Nonlinear filters; Reflection; Signal mapping; Signal processing algorithms; Stability; Testing;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1988. ICASSP-88., 1988 International Conference on
Conference_Location :
New York, NY
DOI :
10.1109/ICASSP.1988.196925
