Completely Parallel Realizations for Multidimensional Digital Filters

✍ Scribed by Tian-Bo Deng

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 457 KB
• Volume: 7
• Category: Article
• ISSN: 1051-2004
• DOI: 10.1006/dspr.1997.0292

✦ Synopsis

This paper proposes a new method for realizing the general form multi-dimensional (M-D) digital filter as the combination of parallel sections consisting of cascaded one-dimensional (1-D) digital filters. First, we use the coefficients of an M-D filter to construct an M-D coefficient array; then we propose a technique for decomposing the M-D coefficient array into the summation of the outer products of real-valued vectors. Since the real-valued vectors represent the coefficients of 1-D filters with different delay elements, the decomposition of the M-D coefficient array implies that a general form M-D filter can be decomposed into the combination of completely parallel sections, and each of them consists of cascaded 1-D filters. Consequently, the structure of the realized M-D filter possesses high parallelism, regularity, and modularity, and it is suitable for high-speed parallel signal processing and VLSI implementation.