Skip to Main content Skip to Navigation
Journal articles

Some Properties of Lattice Autoregressive Filters

Abstract : An autoregressive filter is defined either by the components of the regression vector or by the reflection coefficients appearing in its lattice representation. The mathematical expression of the regression vector in terms of the reflection coefficients is very complex but many structural properties can be obtained without this exact expression. In this paper, we present some examples of such structural properties, and we apply these results to prove some extrema1 properties of stable filters such as the maximum value of the components of the regression vector or the maximum value of its norm. Moreover, some properties of the boundary of the stability domain are discussed.
Complete list of metadatas

Cited literature [7 references]  Display  Hide  Download

https://hal-centralesupelec.archives-ouvertes.fr/hal-01800375
Contributor : Bernard Picinbono <>
Submitted on : Friday, May 25, 2018 - 7:19:14 PM
Last modification on : Wednesday, September 16, 2020 - 4:47:38 PM
Long-term archiving on: : Sunday, August 26, 2018 - 3:02:02 PM

File

Lattice AR Filters.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01800375, version 1

Citation

Bernard Picinbono, Messaoud Benidir. Some Properties of Lattice Autoregressive Filters. IEEE transactions on acoustics, speech, and signal processing, Institute of Electrical and Electronics Engineers (IEEE), 1986, pp.342 - 349. ⟨hal-01800375⟩

Share

Metrics

Record views

185

Files downloads

386