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
Angle quantization approach for lattice IIR filter implementation and its trellis de-allocation algorithm
TL;DR: The modified angle rotator (MAR) scheme is proposed; it provides a systematic solution to enhance the precision of quantized angle without additional hardware overhead and can save 40% of the number of adders compared with the direct coefficient quantization approach in normalized lattice filter implementation.
Proceedings ArticleDOI
Reconfigurable and Area-Efficient Architecture for Symmetric FIR Filters with Powers-of-Two Coefficients
TL;DR: A new reconfigurable and area- efficient architecture for symmetric FIR filters with powers-of-two (PT) coefficients (2PFIR filters) based on the general-purpose digital signal processor (DSP) architecture is presented.
Journal ArticleDOI
New initialization methods for discrete coefficient FIR filter design with coefficient scaling and the use of scale factor in the design process
TL;DR: The initialization of filter coefficients in discrete-coefficient finite-impulse-response (FIR) filter design (with coefficient scaling) using coefficient-value-assignment-based optimization techniques is considered and it is revealed that TSE and ME measures do not necessarily provide different initial coefficient set information and that the initial coefficients set information by the ME measure is not unique in general.
Proceedings ArticleDOI
Design of nearly optimum power-of-two coefficient cascaded filters
A. Mahmood,J.R. Kunk +1 more
TL;DR: In this paper, a design technique was developed for powers-of-two coefficient FIR filters that use two complementary filters in cascade, and the two filters were designed to cancel out each other's errors in the frequency domain.
Proceedings ArticleDOI
Optimal design of 1-D and 2-D FIR multiplierless filters
P. Siohan,C. Roche +1 more
TL;DR: An unified approach to the design of optimum (in the minimax sense) finite precision 1-D and 2-D FIR filters is presented and an improvement of a branch and bound technique 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.