Journal ArticleDOI
Discrete coefficient FIR digital filter design based upon an LMS criteria
TLDR
In this article, the remaining unquantized coefficients of a FIR linear phase digital filter when one or more of the filter coefficients takes on discrete values are optimized using the least square response error.Abstract:
An efficient method optimizing (in the least square response error sense) the remaining unquantized coefficients of a FIR linear phase digital filter when one or more of the filter coefficients takes on discrete values is introduced. By incorporating this optimization method into a tree search algorithm and employing a suitable branching policy, an efficient algorithm for the design of high-order discrete coefficient FIR filters is produced. This approach can also be used to design FIR filters on a minimax basis. The minimax criterion is approximated by adjusting the least squares weighting. Results show that the least square criteria is capable of designing filters of order well beyond other approaches by a factor of three for the same computer time. The discrete coefficient spaces discussed include the evenly distributed finite wordlength space as well as the nonuniformly distributed powers-of-two space.read more
Citations
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Proceedings ArticleDOI
Fixed-point FIR filter design and implementation in the expanding subexpression space
Chia-Yu Yao,Chung-Lin Sha +1 more
TL;DR: This paper presents a method of combining the design and the implementation of fixed-point FIR filter coefficients into one design flow and shows that it can obtain better hardware-cost- effective FIR filters than the results reported by other researchers.
Journal ArticleDOI
Implementation of linear digital filters based on morphological representation theory
Mehdi Khosravi,Ronald W. Schafer +1 more
TL;DR: A finite max-min representation for ILTI filters is presented, which does not require the use of multipliers and is practical, in the sense that it consists of a finite number of maximum, minimum, and addition operations.
Proceedings ArticleDOI
A new heuristic signed-power of two term allocation approach for designing of FIR filters
TL;DR: A new heuristic method is proposed for the design problems of linear phase FIR filters with CSD (or SP2) coefficients and it is compared with Lim et al.'s method through numerical experiments.
Multiplierless multirate fir filter design and implementation
TL;DR: The first person I would like to thank is my supervisor Professor Lim Yong Ching for his stimulating suggestions and constant encouragement throughout the entire course of this research.
Journal ArticleDOI
Least mean squared error-design of complex FIR filters with quantized coefficients
TL;DR: The design of complex finite-impulse response filters with quantized coefficients according to a discrete mean squared error (MSE) criterion in the frequency domain is revisited and a generalized form of the first approach is proposed.
References
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Book
Integer programming
TL;DR: The principles of integer programming are directed toward finding solutions to problems from the fields of economic planning, engineering design, and combinatorial optimization as mentioned in this paper, which is a standard of graduate-level courses since 1972.
Book
Theory and application of digital signal processing
TL;DR: Feyman and Wing as discussed by the authors introduced the simplicity of the invariant imbedding method to tackle various problems of interest to engineers, physicists, applied mathematicians, and numerical analysts.
Journal ArticleDOI
Chebyshev Approximation for Nonrecursive Digital Filters with Linear Phase
T. Parks,J. McClellan +1 more
TL;DR: An efficient procedure for the design of finite-length impulse response filters with linear phase is presented, which obtains the optimum Chebyshev approximation on separate intervals corresponding to passbands and/or stopbands.