The block-optimal realization of separable-in-denominator 2-D digital filters

Zilouchian, Ali; Haung, Z.; Wang, D.

doi:10.1109/82.755416

Cited by 5 publications

(1 citation statement)

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“…As well as one-dimensional (1-D) digital filters, 2-D digital filters can be categorized two classes: non-recursive (FIR) filters [12] and recursive (IIR) filters [13,14,17,18,[20][21][22]. Recursive digital filters have an advantage that the filter order to approximate the required response is generally much less than that of non-recursive filters, despite it is not easy to achieve the phase linearity and filter stability.…”

Section: Introductionmentioning

confidence: 99%

Noise Reduction in Two-Dimensional Recursive Digital Filters with Discrete Optimized Error Feedback Coefficients

Nakamoto

Hinamoto

Ohno

2011

Circuits Syst Signal Process

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This paper treats the minimization problem for roundoff noise in twodimensional (2-D) recursive digital filters with an error feedback (EF). The EF is known as an available scheme for the reduction of roundoff noise, and this can be achieved by extracting a roundoff error from the quantizer and feeding it back to the adder. Since the EF circuit is an additional device of the digital filter, the bit length of the coefficients should be as short as possible for the fast arithmetic and low-cost realization. In this paper, we propose an algorithm to optimize the EF coefficients in a discrete space. The proposed algorithm is based on the branch and bound method by estimating the lower bound of the optimal solution, and the optimality of the obtained solution can be guaranteed. Finally, we give a numerical example to demonstrate the effectiveness of the proposed method, and show the optimal solution can be found without using the round-robin algorithm.Keywords Two-dimensional recursive digital filters · Error feedback · Branch and bound method · Finite word-length realization · Roundoff noise

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