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Systolic implementation of real-valued discrete transforms via algebraic integer quantization

✍ Scribed by R. Baghaie; V. Dimitrov


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
692 KB
Volume
41
Category
Article
ISSN
0898-1221

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✦ Synopsis


In this paper, we propose a novel approach for computing real-valued discrete transforms such as the discrete cosine transform (DCT) and the discrete Hartley transform (DHT). The approach is based on the algebraic integer encoding scheme. With the aid of this scheme, an error-free representation of the cos, sin, and cas functions becomes possible. For further complexity reduction, two different approximation methods are presented. Furthermore, for the implementation of these algorithms, a fully pipelined systolic architecture with O(N) throughput is proposed. (~) 2001 Elsevier Science Ltd. All rights reserved.