Browsing ECE Publications by Author "Burrus, C. Sidney"
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Adaptive Iterative Reqeighted Least Squares Design of LP FIR Filters
Vargas, Ricardo; Burrus, C. Sidney (19990301)This paper presents an efficient adaptive algorithm for designing FIR digital filters that are efficient according to an Lp error criteria. The algorithm is an extension of Burrus' iterative reweighted leastsquares (IRLS) ... 
Approximate continuous wavelet transform with an application to noise reduction
Lewis, James M.; Burrus, C. Sidney (19980520)We describe a generalized scaleredundant wavelet transform which approximates a dense sampling of the continuous wavelet transform (CWT) in both time and scale. The dyadic scaling requirement of the usual wavelet ... 
Automatic Generation of Prime Length FFT Programs
Selesnick, Ivan W.; Burrus, C. Sidney (19960101)We describe a set of programs for circular convolution and prime length FFTs that are short, possess great structure, share many computational procedures, and cover a large variety of lengths. The programs make clear the ... 
Complex Wavelet Transforms with Allpass Filters
Fernandes, Felix; Selesnick, Ivan W.; van Spaendonck, Rutger; Burrus, C. Sidney (20030820)Complex discrete wavelet transforms have significant advantages over real wavelet transforms for certain signal processing problems. Two approaches to the implementation of complex wavelet transforms have been proposed ... 
Constrained FIR Filter Design for 2band Filter Banks and Orthonormal Wavelets
Markus, Lang; Selesnick, Ivan W.; Odegard, Jan E.; Burrus, C. Sidney (19941020)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 L<sub>Â â ... 
Constrained Least Square Design of FIR Filters Without Specified Transition Bands
Selesnick, Ivan W.; Lang, Markus; Burrus, C. Sidney (19960115)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 ... 
Constrained Least Square Design of FIR Filters Without Specified Transition Bands
Selesnick, Ivan W.; Lang, Markus; Burrus, C. Sidney (19950115)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 ... 
Design of Linear Phase Cosine Modulated Filter Banks for Subband Image Compression
Odegard, Jan E.; Gopinath, Ramesh A.; Burrus, C. Sidney (19940115)Wavelet methods give a flexible alternative to Fourier methods in nonstationary signal analysis. The concept of bandlimitedness plays a fundamental role in Fourier analysis. Since wavelet theory replaces frequency with ... 
Digital Signal Processing Structures: Block and Multidemensional Formulation and Distributed Arithmetic
Burrus, C. Sidney (19780120)In this report we will consider a special class of digital filter structure; and by structure we mean the particular arrangement and sequence of arithmetic and storage operations to realize a desired signal processing ... 
Directional ComplexWavelet Processing
Fernandes, Felix; van Spaendonck, Rutger; Burrus, C. Sidney (20000820)Poor directional selectivity, a major disadvantage of the separable 2D discrete wavelet transform (DWT), has previously been circumvented either by using highly redundant, nonseparable wavelet transforms or by using ... 
Discrete finite variation: A new measure of smoothness for the design of wavelet basis
Odegard, Jan E.; Burrus, C. Sidney (19960520)A new method for measuring and designing smooth wavelet basis which dispenses with the need for having a large number of zero moments of the wavelet is given. The method is based on minimizing the "discrete finite variation", ... 
Exchange Algorithms that Complement the ParksMcClellan Algorithm for Linear Phase FIR Filter Design
Selesnick, Ivan W.; Burrus, C. Sidney (19970201)This paper describes an exchange algorithm for the frequency domain design of linear phase FIR equiripple filters where the Chebyshev error in each band is specified. The algorithm is a hybrid of the algorithm of Hofstetter, ... 
Extending Winograd's Small Convolution Algorithm to Longer Lengths
Selesnick, Ivan W.; Burrus, C. Sidney (19940115)For short data sequences, Winograd's convolution algorithms attaining the minimum number of multiplications also attain a low number of additions, making them very efficient. However, for longer lengths they require a ... 
Generalized Digital Butterworth Filter Design
Selesnick, Ivan W.; Burrus, C. Sidney (19950115)This paper presents a formulabased method for the design of IIR filters having more zeros than (nontrivial) poles. The filters are designed so that their square magnitude frequency responses are maximallyflat at <i>m</i> ... 
Generalized Digital Butterworth Filter Design
Selesnick, Ivan W.; Burrus, C. Sidney (19960115)This paper presents a formulabased method for the design of IIR filters having more zeros than (nontrivial) poles. The filters are designed so that their square magnitude frequency responses are maximallyflat at <i>m</i> ... 
Joint Compression and Speckle Reduction of SAR Images using Embedded Zerotree Models
Odegard, Jan E.; Guo, Haitao; Burrus, C. Sidney; Baraniuk, Richard G. (19960301)We propose a new method for speckle reduction in synthetic aperture radar (SAR) imagery based on the embedded zerotree image compression algorithm. This new approach to denoising is inspired by the realization that the ... 
MBand Multiwavelet Systems
Burrus, C. Sidney; Fernandes, Felix (19990320)In this paper we investigate multiwavelet systems whose scaling functions have disjoint support. We demonstrate that, with the exception of a trivial case, this property may not be attained by two band multiwavelet systems. ... 
Magnitude Squared Design of Recursive Filters with the Chebyshev Norm Using a Constrained Rational Remez Algorithm
Selesnick, Ivan W.; Lang, Markus; Burrus, C. Sidney (19941001)We describe a Remez type exchange algorithm for the design of stable recursive filters for which the Chebyschev norm of H(w)  F(w) is minimized, where H(w) and F(w) are the realized and desired magnitude squared frequency ... 
Magnitude Squared Design of Recursive Filters with the Chebyshev Norm Using a Constrained Rational Remez Algorithm
Selesnick, Ivan W.; Lang, Markus; Burrus, C. Sidney (19940501)We describe a Remez type exchange algorithm for the design of stable recursive filters for which the Chebyschev norm of H(w)  F(w) is minimized, where H(w) and F(w) are the realized and desired magnitude squared frequency ... 
New class of wavelets for signal approximation
Odegard, Jan E.; Burrus, C. Sidney (19960520)This paper develops a new class of wavelets for which the classical Daubechies zero moment property has been relaxed. The advantages of relaxing higher order wavelet moment constraints is that within the framework of ...