Effects of Quantization in Systolic 2D IIR Beam Filters on UWB Wireless Communications

Ultra-wideband (UWB) wireless beamforming systems may potentially be implemented digitally at multi-gigahertz clock frequencies using low-precision systolic array realizations of two-dimensional (2D) infinite impulse response (IIR) beam plane-wave filters. The finite precision performance of such fi...

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Bibliographic Details
Published in:Circuits, systems, and signal processing systems, and signal processing, 2012-04, Vol.31 (2), p.595-610
Main Authors: Arjuna Madanayake, H. L. P., Hum, Sean Victor, Bruton, Leonard T.
Format: Article
Language:English
Subjects:
Beams (radiation)
Circuits and Systems
Computer simulation
Converters
Electrical Engineering
Electronics and Microelectronics
Engineering
Impulse response
Instrumentation
Mathematical analysis
Mathematical models
Monte Carlo methods
Signal,Image and Speech Processing
Two dimensional
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Summary:Ultra-wideband (UWB) wireless beamforming systems may potentially be implemented digitally at multi-gigahertz clock frequencies using low-precision systolic array realizations of two-dimensional (2D) infinite impulse response (IIR) beam plane-wave filters. The finite precision performance of such filters is analyzed in terms of quantization noise. Extensive Monte Carlo simulations are performed using test vectors that are derived from 2D finite-difference time-domain (FDTD) computational electromagnetic models of the UWB channels. The bit error rate (BER) is determined as a function of signal-to-interference ratio (SIR), with and without beamforming, and for various practical combinations of finite internal wordlengths and A/D converter precisions. It is established that 3-bit A/D converters with 3- to 6-bit internal wordlengths are adequate for good performance and that 4-bit A/D converters with 4- to 7-bit internal wordlengths achieve excellent performance.
ISSN:0278-081X
1531-5878
DOI:10.1007/s00034-011-9325-6