Determination of quantization error in two-dimensional digital filters
- 1 July 1981
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in Proceedings of the IEEE
- Vol. 69 (7) , 832-834
- https://doi.org/10.1109/proc.1981.12078
Abstract
The evaluation of the quantization error in two-dimensional (2-D) digital filters involves the following computation J = Σ m=0 ∞ Σ n=0 ∞ y 2 (m, n). In this paper general method for the evaluation of J based on Laurent expansion of the integrand is presented. Illustrative example for such a computation is given. Notations: We denote with V - 2 = {(z 1 , z 2 ): |z 1 | ≤ 1, |z 2 | ≤ 1} the closed unit bidisc, with V 2 = {(z 1 , z 2 ): |z 1 | < 1, |z 2 | < 1} the open unit bidisc, and with T 2 = {(z 1 , z 2 ): |z 1 | = 1, |z 2 | = 1} the distinguished boundary of the unit bidisc.Keywords
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