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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 21 (2 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
"... We presented the basic concepts for peakconstrained leastsquares (PCLS) optimization in previous papers. We present advanced PCLS optimization concepts in this paper. ..."
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Cited by 19 (0 self)
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We presented the basic concepts for peakconstrained leastsquares (PCLS) optimization in previous papers. We present advanced PCLS optimization concepts in this paper.
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 ā 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 ā 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.
Constrained FIR filter design for 2band filter banks and orthonormal wavelets
 In Sixth Digital Signal Processing Workshop
, 1994
"... ..."
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 ...
Design of Digital Filters Using Genetic Algorithms
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Adaptive Equalizer Based on SecondOrder Cone Programming in Underwater Acoustic Communication
, 2013
"... Abstract: An improved adaptive equalizer based on the principle of minimum mean square error (MMSE) is proposed. This optimization problem which is shown to be convex, is transformed to secondorder cone (SOC) and solved using the interior point method instead of conventional iterative methods such ..."
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Abstract: An improved adaptive equalizer based on the principle of minimum mean square error (MMSE) is proposed. This optimization problem which is shown to be convex, is transformed to secondorder cone (SOC) and solved using the interior point method instead of conventional iterative methods such as least mean squares (LMS) or recursive least squares (RLS). To validate its performance a singlecarrier system for underwater acoustic communication with digital phaselocked loop and the adaptive fractional spaced equalizers was designed and a lake trial was carried out. According to the results, comparing with traditional equalizers based on LMS and RLS algorithms, the equalizer proposed needs no iterative process and gets rid of the contradiction between convergent rate and precision. Therefore it overcomes the difficulty of parameters setting. Furthermore, the algorithm needs much less training codes to achieve the same equalization performance and improves the