An analysis of coefficient inaccuracy for 2-D FIR direct form digital filters

Filter frequency errors due to coefficient quantization in direct-form realization of zero-phase two-dimensional finite impulse-response (2-D FIR) digital filters are analyzed. Applying a previously published method for 1-D FIR digital filters, the case of 2-D FIR filters with octagonal or quadrantal symmetry is considered. Based on the analysis, statistical bounds on the frequency-response errors and on the wordlength of the filter coefficients are developed and verified by experimental data.<
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