Structurally regular unimodular filter banks

Rohit Kumar; Ying Jui Chen; Soontorn Oraintara; Kevin Amaratunga

Structurally regular unimodular filter banks

Rohit Kumar
, Ying Jui Chen
, Soontorn Oraintara
, Kevin Amaratunga

University of Texas at Arlington College of Engineering
LIGO-Massachusetts Institute of Technology

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

In this paper, we present the structural conditions for imposing regularity onto first-order unimodular filter banks (a.k.a. lapped unimodular transforms, LUT). For this purpose, we propose to parameterize non-singular matrices using a special lattice structure by which rational-coefficient unimodular filter banks can readily be designed. We consider two types of LUT factorizations and derive the corresponding structural conditions for regularity. Consequently, regular first-order unimodular filter banks can be designed using unconstrained optimizations, as the proposed structures always guarantee regularity. Design examples of regular first-order unimodular filter banks are presented to illustrate the proposed theory.

Original language	English
Title of host publication	2004 IEEE 11th Digital Signal Processing Workshop and 2nd IEEE Signal Processing Education Workshop
Pages	34-38
Number of pages	5
Publication status	Published - 2004
Externally published	Yes
Event	2004 IEEE 11th Digital Signal Processing Workshop and 2nd IEEE Signal Processing Education Workshop - Taos Ski Valley, NM, United States Duration: 1 Aug 2004 → 4 Aug 2004

Publication series

Name	2004 IEEE 11th Digital Signal Processing Workshop and 2nd IEEE Signal Processing Education Workshop

Conference

Conference	2004 IEEE 11th Digital Signal Processing Workshop and 2nd IEEE Signal Processing Education Workshop
Country/Territory	United States
City	Taos Ski Valley, NM
Period	1/08/04 → 4/08/04

Cite this

@inproceedings{8cc1a008e75842c39709ba56a0fc80cf,

title = "Structurally regular unimodular filter banks",

abstract = "In this paper, we present the structural conditions for imposing regularity onto first-order unimodular filter banks (a.k.a. lapped unimodular transforms, LUT). For this purpose, we propose to parameterize non-singular matrices using a special lattice structure by which rational-coefficient unimodular filter banks can readily be designed. We consider two types of LUT factorizations and derive the corresponding structural conditions for regularity. Consequently, regular first-order unimodular filter banks can be designed using unconstrained optimizations, as the proposed structures always guarantee regularity. Design examples of regular first-order unimodular filter banks are presented to illustrate the proposed theory.",

author = "Rohit Kumar and Chen, \{Ying Jui\} and Soontorn Oraintara and Kevin Amaratunga",

year = "2004",

language = "English",

isbn = "0780384342",

series = "2004 IEEE 11th Digital Signal Processing Workshop and 2nd IEEE Signal Processing Education Workshop",

pages = "34--38",

booktitle = "2004 IEEE 11th Digital Signal Processing Workshop and 2nd IEEE Signal Processing Education Workshop",

note = "2004 IEEE 11th Digital Signal Processing Workshop and 2nd IEEE Signal Processing Education Workshop ; Conference date: 01-08-2004 Through 04-08-2004",

}

Kumar, R, Chen, YJ, Oraintara, S & Amaratunga, K 2004, Structurally regular unimodular filter banks. in 2004 IEEE 11th Digital Signal Processing Workshop and 2nd IEEE Signal Processing Education Workshop. 2004 IEEE 11th Digital Signal Processing Workshop and 2nd IEEE Signal Processing Education Workshop, pp. 34-38, 2004 IEEE 11th Digital Signal Processing Workshop and 2nd IEEE Signal Processing Education Workshop, Taos Ski Valley, NM, United States, 1/08/04.

Structurally regular unimodular filter banks. / Kumar, Rohit; Chen, Ying Jui; Oraintara, Soontorn et al.
2004 IEEE 11th Digital Signal Processing Workshop and 2nd IEEE Signal Processing Education Workshop. 2004. p. 34-38 (2004 IEEE 11th Digital Signal Processing Workshop and 2nd IEEE Signal Processing Education Workshop).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Structurally regular unimodular filter banks

AU - Kumar, Rohit

AU - Chen, Ying Jui

AU - Oraintara, Soontorn

AU - Amaratunga, Kevin

PY - 2004

Y1 - 2004

N2 - In this paper, we present the structural conditions for imposing regularity onto first-order unimodular filter banks (a.k.a. lapped unimodular transforms, LUT). For this purpose, we propose to parameterize non-singular matrices using a special lattice structure by which rational-coefficient unimodular filter banks can readily be designed. We consider two types of LUT factorizations and derive the corresponding structural conditions for regularity. Consequently, regular first-order unimodular filter banks can be designed using unconstrained optimizations, as the proposed structures always guarantee regularity. Design examples of regular first-order unimodular filter banks are presented to illustrate the proposed theory.

AB - In this paper, we present the structural conditions for imposing regularity onto first-order unimodular filter banks (a.k.a. lapped unimodular transforms, LUT). For this purpose, we propose to parameterize non-singular matrices using a special lattice structure by which rational-coefficient unimodular filter banks can readily be designed. We consider two types of LUT factorizations and derive the corresponding structural conditions for regularity. Consequently, regular first-order unimodular filter banks can be designed using unconstrained optimizations, as the proposed structures always guarantee regularity. Design examples of regular first-order unimodular filter banks are presented to illustrate the proposed theory.

UR - https://www.scopus.com/pages/publications/17044392641

M3 - Conference contribution

AN - SCOPUS:17044392641

SN - 0780384342

T3 - 2004 IEEE 11th Digital Signal Processing Workshop and 2nd IEEE Signal Processing Education Workshop

SP - 34

EP - 38

BT - 2004 IEEE 11th Digital Signal Processing Workshop and 2nd IEEE Signal Processing Education Workshop

T2 - 2004 IEEE 11th Digital Signal Processing Workshop and 2nd IEEE Signal Processing Education Workshop

Y2 - 1 August 2004 through 4 August 2004

ER -

Structurally regular unimodular filter banks

Abstract

Publication series

Conference

Other files and links

Fingerprint

Cite this