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Constrained Least Square Design Of Fir Filters Without Specified Transition Bands
 IEEE Trans. on Signal Processing
, 1995
"... We consider the design of digital filters and discuss the inclusion of explicitly specified transition bands in the frequency domain design of FIR filters. We put forth the notion that explicitly specified transition bands have been introduced in the filter design literature as an indirect and often ..."
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Cited by 14 (1 self)
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We consider the design of digital filters and discuss the inclusion of explicitly specified transition bands in the frequency domain design of FIR filters. We put forth the notion that explicitly specified transition bands have been introduced in the filter design literature as an indirect and often inadequate approach for dealing with discontinuities in the desired frequency response. We also present a rapidly converging, robust, simple algorithm for the design of optimal peak constrained least square lowpass FIR filters that does not require the use of transition bands. This versatile algorithm will design linear and minimum phase FIR filters and gives the best L2 filter and a continuum of Chebyshev filters as special cases. 1. INTRODUCTION We consider the definition of optimality for digital filter design and conclude that a constrained least squared error criterion with no transition band is often the best approximation measure for many physical filtering problems. This comes fro...
Peakconstrained leastsquares optimization
 IEEE Trans. Signal Processing
, 1998
"... Abstract — We presented the basic concepts for peakconstrained leastsquares (PCLS) optimization in previous papers. We present advanced PCLS optimization concepts in this paper. I. ..."
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Cited by 9 (0 self)
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Abstract — We presented the basic concepts for peakconstrained leastsquares (PCLS) optimization in previous papers. We present advanced PCLS optimization concepts in this paper. I.
The design of peak constrained least squares FIR filters with low complexity finite precision coefficients,” Proc
 IEEE Int. Symp. Circ. Syst
, 2001
"... A method for the design of Finite Precision Coefficient (FPC) Peak Constrained Least Squares (PCLS) Finite duration Impulse Response (FIR) digital filters based on Adams ’ optimality criterion and an efficient local search method is presented. Simple quantization of the infinite precision filter coe ..."
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Cited by 3 (2 self)
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A method for the design of Finite Precision Coefficient (FPC) Peak Constrained Least Squares (PCLS) Finite duration Impulse Response (FIR) digital filters based on Adams ’ optimality criterion and an efficient local search method is presented. Simple quantization of the infinite precision filter coefficients typically leads to filter designs that fail to meet the frequency response and Passband to Stopband energy Ratio (PSR) specifications. It is shown that it is possible to implement computationally efficient filters (with reduced filter FPC wordlengths) that meet the passband and stopband attenuation specifications at the expense of a lower PSR energy ratio. 1.
Constrained Fir Filter Design For 2Band Filter Banks And Orthonormal Wavelets
, 1994
"... 2band paraunitary FIR filter banks can be used to generate a multiresolution analysis with compactly supported orthonormal (ON) wavelets. The filter design problem is formulated and solved (a) as a constrained L1 optimization problem and (b) as a constrained L2 optimization problem which allows arb ..."
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Cited by 2 (1 self)
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2band paraunitary FIR filter banks can be used to generate a multiresolution analysis with compactly supported orthonormal (ON) wavelets. The filter design problem is formulated and solved (a) as a constrained L1 optimization problem and (b) as a constrained L2 optimization problem which allows arbitrary compromises between an L2 and an L1 approach with both of them as special cases. Additional flatness constraints can also be easily included. The L2 and the L1 design are based on the KuhnTucker (KT) conditions and the alternation theorem, respectively. Therefore, optimality of the solution is guaranteed. The method (a) is a simpler alternative to a known method. The method (b) solves a more general problem than the approaches known in the literature including all of them as special cases. 1. INTRODUCTION As is wellknown [2] 2band paraunitary FIR filter banks can be used to generate a multiresolution analysis with compactly supported orthonormal (ON) wavelets. The realvalued FIR ...
Some Exchange Algorithms Complementing the ParksMcClellan Program for Filter Design
 In International Conference on Digital Signal Processing
, 1995
"... In this paper, several modifications of the ParksMcClellan (PM) program are described that treat the band edges differently than does the PM program. The first exchange algorithm we describe allows (1) the explicit specification of ffi p and ffi s and (2) the specification of the halfmagnitude fre ..."
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Cited by 1 (1 self)
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In this paper, several modifications of the ParksMcClellan (PM) program are described that treat the band edges differently than does the PM program. The first exchange algorithm we describe allows (1) the explicit specification of ffi p and ffi s and (2) the specification of the halfmagnitude frequency, !o . The set of lowpass filters obtained with this algorithm is the same as the set of lowpass filters produced by the PM algorithm. We also find that if passband monotonicity is desired in the design of filters having very flat passbands it is also desirable to modify the usual way of treating the band edges. The second multiple exchange algorithm we describe produces filters having a specified ffi p and ffi s but also includes a measure of the integral square error. 1 Introduction In this paper, several modifications of the ParksMcClellan (PM) program [11, 13, 17] are described. Recall that in their approach to the design of digital filters, the band edges are specified and the ...