A new 4D lattice FIR digital filter

George E. Antoniou; Constantine A. Coutras

doi:10.1109/LASCAS45839.2020.9068997

A new 4D lattice FIR digital filter

George E. Antoniou, Constantine A. Coutras

Computer Science

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

2 Scopus citations

Abstract

This paper presents a new four-dimensional (4D) lattice structured digital filter, having a minimal number of delay elements. This filter, besides having a minimal number of delay elements, also has an absolutely minimal state-space vector. The new finite impulse response (FIR) digital filter is characterized by a lattice structure having alternate delay element orientation. Furthermore, the transfer function coefficients of the proposed 4D filter are complements of the conventional lattice filters. The results of this paper are directly applicable to one-dimensional (1D) lattice digital filters. 4D and two-dimensional (2D) low-order examples are provided to show the features of the circuit and state-space realization structures.

Original language	English
Title of host publication	2020 IEEE 11th Latin American Symposium on Circuits and Systems, LASCAS 2020
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9781728134277
DOIs	https://doi.org/10.1109/LASCAS45839.2020.9068997
State	Published - Feb 2020
Event	11th IEEE Latin American Symposium on Circuits and Systems, LASCAS 2020 - San Jose, Costa Rica Duration: 25 Feb 2020 → 28 Feb 2020

Publication series

Name	2020 IEEE 11th Latin American Symposium on Circuits and Systems, LASCAS 2020

Conference

Conference	11th IEEE Latin American Symposium on Circuits and Systems, LASCAS 2020
Country/Territory	Costa Rica
City	San Jose
Period	25/02/20 → 28/02/20

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10.1109/LASCAS45839.2020.9068997

Cite this

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title = "A new 4D lattice FIR digital filter",

abstract = "This paper presents a new four-dimensional (4D) lattice structured digital filter, having a minimal number of delay elements. This filter, besides having a minimal number of delay elements, also has an absolutely minimal state-space vector. The new finite impulse response (FIR) digital filter is characterized by a lattice structure having alternate delay element orientation. Furthermore, the transfer function coefficients of the proposed 4D filter are complements of the conventional lattice filters. The results of this paper are directly applicable to one-dimensional (1D) lattice digital filters. 4D and two-dimensional (2D) low-order examples are provided to show the features of the circuit and state-space realization structures.",

author = "Antoniou, {George E.} and Coutras, {Constantine A.}",

note = "Publisher Copyright: {\textcopyright} 2020 IEEE.; 11th IEEE Latin American Symposium on Circuits and Systems, LASCAS 2020 ; Conference date: 25-02-2020 Through 28-02-2020",

year = "2020",

month = feb,

doi = "10.1109/LASCAS45839.2020.9068997",

language = "English",

series = "2020 IEEE 11th Latin American Symposium on Circuits and Systems, LASCAS 2020",

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

booktitle = "2020 IEEE 11th Latin American Symposium on Circuits and Systems, LASCAS 2020",

}

Antoniou, GE & Coutras, CA 2020, A new 4D lattice FIR digital filter. in 2020 IEEE 11th Latin American Symposium on Circuits and Systems, LASCAS 2020., 9068997, 2020 IEEE 11th Latin American Symposium on Circuits and Systems, LASCAS 2020, Institute of Electrical and Electronics Engineers Inc., 11th IEEE Latin American Symposium on Circuits and Systems, LASCAS 2020, San Jose, Costa Rica, 25/02/20. https://doi.org/10.1109/LASCAS45839.2020.9068997

A new 4D lattice FIR digital filter. / Antoniou, George E.; Coutras, Constantine A.
2020 IEEE 11th Latin American Symposium on Circuits and Systems, LASCAS 2020. Institute of Electrical and Electronics Engineers Inc., 2020. 9068997 (2020 IEEE 11th Latin American Symposium on Circuits and Systems, LASCAS 2020).

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

TY - GEN

T1 - A new 4D lattice FIR digital filter

AU - Antoniou, George E.

AU - Coutras, Constantine A.

PY - 2020/2

Y1 - 2020/2

N2 - This paper presents a new four-dimensional (4D) lattice structured digital filter, having a minimal number of delay elements. This filter, besides having a minimal number of delay elements, also has an absolutely minimal state-space vector. The new finite impulse response (FIR) digital filter is characterized by a lattice structure having alternate delay element orientation. Furthermore, the transfer function coefficients of the proposed 4D filter are complements of the conventional lattice filters. The results of this paper are directly applicable to one-dimensional (1D) lattice digital filters. 4D and two-dimensional (2D) low-order examples are provided to show the features of the circuit and state-space realization structures.

AB - This paper presents a new four-dimensional (4D) lattice structured digital filter, having a minimal number of delay elements. This filter, besides having a minimal number of delay elements, also has an absolutely minimal state-space vector. The new finite impulse response (FIR) digital filter is characterized by a lattice structure having alternate delay element orientation. Furthermore, the transfer function coefficients of the proposed 4D filter are complements of the conventional lattice filters. The results of this paper are directly applicable to one-dimensional (1D) lattice digital filters. 4D and two-dimensional (2D) low-order examples are provided to show the features of the circuit and state-space realization structures.

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DO - 10.1109/LASCAS45839.2020.9068997

M3 - Conference contribution

AN - SCOPUS:85084288945

T3 - 2020 IEEE 11th Latin American Symposium on Circuits and Systems, LASCAS 2020

BT - 2020 IEEE 11th Latin American Symposium on Circuits and Systems, LASCAS 2020

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 11th IEEE Latin American Symposium on Circuits and Systems, LASCAS 2020

Y2 - 25 February 2020 through 28 February 2020

ER -

A new 4D lattice FIR digital filter

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