Journal ArticleDOI
Frequency-response masking approach for the synthesis of sharp linear phase digital filters
TLDR
If the frequency responses of the original ( M + 1) -band filter and its complementary filter are properly masked and recombined, narrow transition-band filter can be obtained and this technique can be used to design sharp low-pass, high- pass, bandpass, and bandstop filters with arbitrary passband bandwidth.Abstract:
If each delay element of a linear phase low-pass digital filter is replaced by M delay elements, an (M + 1) -band filter is produced. The transition-width of this (M + 1) -band filter is 1/M that of the prototype low-pass filter. A complementary filter can be obtained by subtracting the output of the (M + 1) -band filter from a suitably delayed version of the input. The complementary filter is an (M + 1) -band filter whose passbands and stopbands are the stopbands and passbands, respectively, of the original (M + 1) -band filter. If the frequency responses of the original ( M + 1) -band filter and its complementary filter are properly masked and recombined, narrow transition-band filter can be obtained. This technique can be used to design sharp low-pass, high-pass, bandpass, and bandstop filters with arbitrary passband bandwidth.read more
Citations
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Journal ArticleDOI
Design of computationally efficient interpolated FIR filters
TL;DR: In this article, the number of multipliers required in the implementation of interpolated FIR (Finite-impulse response) filters in the form H(Z)=F(z/sup L/)G(z) is studied.
Journal ArticleDOI
The optimum design of one- and two-dimensional FIR filters using the frequency response masking technique
Yong Ching Lim,Yong Lian +1 more
TL;DR: In this paper, an expression for the impulse response up-sampling ratio M, which will produce a minimum complexity design, is derived, and an optimum design relationship for the interpolated impulse response technique is also derived.
Journal ArticleDOI
Linear Programming Algorithms for Sparse Filter Design
TL;DR: This paper describes several approximate polynomial-time algorithms that use linear programming to design filters having a small number of nonzero coefficients, i.e., filters that are sparse.
Journal ArticleDOI
Frequency-response masking approach for digital filter design: complexity reduction via masking filter factorization
Yong Ching Lim,Yong Lian +1 more
TL;DR: In this paper, the authors presented three methods for reducing the complexity of the masking filters, which can be realized as a cascade of a common subfilter and a pair of equalizers.
Proceedings ArticleDOI
Coefficient decimation approach for realizing reconfigurable finite impulse response filters
R. Mahesh,A. P. Vinod +1 more
TL;DR: A new approach to implement computationally efficient reconfigurable finite impulse response (FIR) filter is presented in this paper and the design of a reconfigured filter bank using the above approach is shown.
References
More filters
Journal ArticleDOI
FIR filter design over a discrete powers-of-two coefficient space
TL;DR: In this article, a digital filter with discrete coefficient values selected from the powers-of-two coefficient space is designed using the methods of integer programming, and the frequency responses obtained are shown to be superior to those obtained by simply rounding the coefficients.
Journal ArticleDOI
Interpolated finite impulse response filters
TL;DR: In this article, a cascade of two sections is proposed for finite impulse response (FIR) digital filters, where the first section generates a sparse set of impulse response samples and the other section generates the remaining samples by using interpolation.
Journal ArticleDOI
FIR digital filter design techniques using weighted Chebyshev approximation
TL;DR: In this article, various approaches to designing FIR digital filters using the theory of weighted Chebyshev approximation are discussed and compared on the basis of their capabilities and limitations, and the relationships between filter parameters are briefly discussed for the case of low-pass filters.
Journal ArticleDOI
Discrete coefficient FIR digital filter design based upon an LMS criteria
TL;DR: 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.
Journal ArticleDOI
Optimum FIR digital filter implementations for decimation, interpolation, and narrow-band filtering
R. Crochiere,Lawrence R. Rabiner +1 more
TL;DR: In this article, a general theory of multistage decimators and interpolators for sampling rate reduction and sampling rate increase is presented, and a set of curves and necessary relations for optimally designing multi-stage decimator is also given.
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