Paper
8 March 2002 Implementation of reduced-complexity high-performance programmable wavelet FIR filters using field-programmable logic
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Abstract
FIR filters are routinely used in the implementation of modern digital signal processing systems, such as the discrete wavelet transform. Their efficient implementation using commercially available VLSI technology is a subject of continuous study and development. This paper presents the implementation using modern Altera APEX20K field-programmable logic (FPL) devices of reduced complexity and high performance FIR filters by means of the residue number system (RNS). Index arithmetic over Galois fields and the quadratic residue number systems (QRNS) together with a selection of a small wordwidth modulus set are the keys for attaining low-complexity and high-throughput in real and complex FIR filters. RNS-FPL merged FIR filters were about 65% faster than 2C designs and required fewer logic elements in most cases. An index arithmetic QRNS-based complex FIR filter yielded better results. This filter was up to 60% faster than the three-multiplier-per-tap filter and required fewer LEs for filters having more than 8 taps. Particularly, a 32-tap filter needed 24% LEs less than the classical design.
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Javier Ramirez and Uwe Meyer-Baese "Implementation of reduced-complexity high-performance programmable wavelet FIR filters using field-programmable logic", Proc. SPIE 4738, Wavelet and Independent Component Analysis Applications IX, (8 March 2002); https://doi.org/10.1117/12.458748
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KEYWORDS
Finite impulse response filters

Optical filters

Radon

Filtering (signal processing)

Logic devices

Digital signal processing

Wavelets

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