Lattice structures parameterization of linear phase paraunitary matrices with pairwise mirror-image symmetry in the frequency domain with an odd number of rows

C. W. Kok; T. Nagai; M. Ikehara; T. Q. Nguyen

doi:10.1109/82.943336

Lattice structures parameterization of linear phase paraunitary matrices with pairwise mirror-image symmetry in the frequency domain with an odd number of rows

C. W. Kok^*, T. Nagai, M. Ikehara, T. Q. Nguyen

^*Corresponding author for this work

Research output: Contribution to journal › Journal Article › peer-review

6 Citations (Scopus)

Abstract

Much attention has been placed into the design of digital filter banks with pairwise mirror-image symmetry in the frequency domain because such filter bank structure requires fewer multipliers and less time to design than most other structures. Furthermore, the designed subband filters have better attenuation in most cases. In this paper, the polyphase matrix of linear phase paraunitary filter banks with an odd number of channels and pairwise mirror-image symmetry frequency responses are completely characterized and parameterized by a lattice structure. The parameterization is shown to be complete and minimal. Design examples are presented.

Original language	English
Pages (from-to)	633-636
Number of pages	4
Journal	IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing
Volume	48
Issue number	6
DOIs	https://doi.org/10.1109/82.943336
Publication status	Published - Jun 2001
Externally published	Yes

Keywords

Filter banks
Frequency-domain pairwise mirror-image symmetry
Lattice structure
Linear phase
PMI
Pararunitary
Polynomial matrix

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10.1109/82.943336

Cite this

@article{473d10857db2423abbdec75c2b4970fe,

title = "Lattice structures parameterization of linear phase paraunitary matrices with pairwise mirror-image symmetry in the frequency domain with an odd number of rows",

abstract = "Much attention has been placed into the design of digital filter banks with pairwise mirror-image symmetry in the frequency domain because such filter bank structure requires fewer multipliers and less time to design than most other structures. Furthermore, the designed subband filters have better attenuation in most cases. In this paper, the polyphase matrix of linear phase paraunitary filter banks with an odd number of channels and pairwise mirror-image symmetry frequency responses are completely characterized and parameterized by a lattice structure. The parameterization is shown to be complete and minimal. Design examples are presented.",

keywords = "Filter banks, Frequency-domain pairwise mirror-image symmetry, Lattice structure, Linear phase, PMI, Pararunitary, Polynomial matrix",

author = "Kok, \{C. W.\} and T. Nagai and M. Ikehara and Nguyen, \{T. Q.\}",

year = "2001",

month = jun,

doi = "10.1109/82.943336",

language = "English",

volume = "48",

pages = "633--636",

journal = "IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing",

issn = "1057-7130",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

number = "6",

}

Lattice structures parameterization of linear phase paraunitary matrices with pairwise mirror-image symmetry in the frequency domain with an odd number of rows. / Kok, C. W.; Nagai, T.; Ikehara, M. et al.
In: IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing, Vol. 48, No. 6, 06.2001, p. 633-636.

Research output: Contribution to journal › Journal Article › peer-review

TY - JOUR

T1 - Lattice structures parameterization of linear phase paraunitary matrices with pairwise mirror-image symmetry in the frequency domain with an odd number of rows

AU - Kok, C. W.

AU - Nagai, T.

AU - Ikehara, M.

AU - Nguyen, T. Q.

PY - 2001/6

Y1 - 2001/6

N2 - Much attention has been placed into the design of digital filter banks with pairwise mirror-image symmetry in the frequency domain because such filter bank structure requires fewer multipliers and less time to design than most other structures. Furthermore, the designed subband filters have better attenuation in most cases. In this paper, the polyphase matrix of linear phase paraunitary filter banks with an odd number of channels and pairwise mirror-image symmetry frequency responses are completely characterized and parameterized by a lattice structure. The parameterization is shown to be complete and minimal. Design examples are presented.

AB - Much attention has been placed into the design of digital filter banks with pairwise mirror-image symmetry in the frequency domain because such filter bank structure requires fewer multipliers and less time to design than most other structures. Furthermore, the designed subband filters have better attenuation in most cases. In this paper, the polyphase matrix of linear phase paraunitary filter banks with an odd number of channels and pairwise mirror-image symmetry frequency responses are completely characterized and parameterized by a lattice structure. The parameterization is shown to be complete and minimal. Design examples are presented.

KW - Filter banks

KW - Frequency-domain pairwise mirror-image symmetry

KW - Lattice structure

KW - Linear phase

KW - PMI

KW - Pararunitary

KW - Polynomial matrix

UR - https://www.webofscience.com/wos/woscc/full-record/WOS:000170650900012

UR - https://openalex.org/W2155874768

UR - https://www.scopus.com/pages/publications/0035355194

U2 - 10.1109/82.943336

DO - 10.1109/82.943336

M3 - Journal Article

SN - 1057-7130

VL - 48

SP - 633

EP - 636

JO - IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing

JF - IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing

IS - 6

ER -

Lattice structures parameterization of linear phase paraunitary matrices with pairwise mirror-image symmetry in the frequency domain with an odd number of rows

Abstract

Keywords

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