Continuous-Time Analog Two-Dimensional IIR Beam Filters

Author

Bruton, Leonard T. ; Madanayake, Arjuna ; Wijenayake, Chamith ; Maini, Mona

Author_Institution

Dept. of Electr. & Comput. Eng., Univ. of Calgary, Calgary, AB, Canada

Volume

59

Issue

7

fYear

2012

fDate

7/1/2012 12:00:00 AM

Firstpage

419

Lastpage

423

Abstract

Analog filter circuits that are realized in continuous-time discrete-space domain are proposed for implementing 2-D infinite impulse response (IIR) spatiotemporal transfer functions having beam-shaped passbands. These filters may be used for analog beamforming applications including seismic, audio, sonar, and ultrasonic signal processing. Unlike digital implementations, the proposed 2-D analog beam filters avoid the need for A/D conversions and digital circuitry. Importantly, the beam distortion (beam squint) due to bilinear transformation that is unavoidable in digital 2-D IIR beam filters is significantly reduced. A demonstrative example using operational amplifiers for first-order analog filters is provided.

Keywords

IIR filters; analogue circuits; band-pass filters; operational amplifiers; transfer functions; 2D analog beam filter; 2D infinite impulse response; A/D conversion; IIR beam filter; IIR spatiotemporal transfer function; analog beamforming application; analog filter circuit; beam distortion; beam squint; beam-shaped passband; bilinear transformation; continuous-time analog two-dimensional filter; continuous-time discrete-space domain; digital circuitry; first-order analog filter; operational amplifier; Arrays; Complexity theory; Frequency response; Passband; Sensors; Transfer functions; Transforms; 2-D infinite impulse response (IIR) filters; $RC$ active filters; Analog beamforming circuits; multidimensional signal processing; sensors;

fLanguage

English

Journal_Title

Circuits and Systems II: Express Briefs, IEEE Transactions on

Publisher

ieee

ISSN

1549-7747

Type

jour

DOI

10.1109/TCSII.2012.2200170

Filename

6225427