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Design of near perfect reconstruction oversampled filter banks for subband adaptive filters
"... oversampled filter banks for subband adaptive filters. IEEE Transactions on Circuits and Systems ..."
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oversampled filter banks for subband adaptive filters. IEEE Transactions on Circuits and Systems
A simple design method for near perfect reconstruction nonuniform filterbanks
 IEEE Trans. on Signal Processing
, 1997
"... Abstract—In this correspondence, we propose a simple design method for nonuniform integerdecimated filter banks based on a uniform cosinemodulated filter bank. The resulting distortion and aliasing are comparable to the stopband attenuation of the prototype filter. Examples are given to demonstrate ..."
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Cited by 12 (0 self)
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Abstract—In this correspondence, we propose a simple design method for nonuniform integerdecimated filter banks based on a uniform cosinemodulated filter bank. The resulting distortion and aliasing are comparable to the stopband attenuation of the prototype filter. Examples are given to demonstrate the proposed method. I.
Subband Neural Networks Prediction for Online Audio Signal Recovery
 IEEE Trans. on Neural Network
, 2002
"... Abstract—In this paper, a subbands multirate architecture is presented for audio signal recovery. Audio signal recovery is a common problem in digital music signal restoration field, because of corrupted samples that must be replaced. The subband approach allows for the reconstruction of a long audi ..."
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Abstract—In this paper, a subbands multirate architecture is presented for audio signal recovery. Audio signal recovery is a common problem in digital music signal restoration field, because of corrupted samples that must be replaced. The subband approach allows for the reconstruction of a long audio data sequence from forward–backward predicted samples. In order to improve prediction performances, neural networks with spline flexible activation function are used as narrow subband nonlinear forward–backward predictors. Previous neuralnetworks approaches involved a long training process. Due to the small networks needed for each subband and to the spline adaptive activation functions that speedup the convergence time and improve the generalization performances, the proposed signal recovery scheme works in online (or in continuous learning) mode as a simple nonlinear adaptive filter. Experimental results show the mean square reconstruction error and maximum error obtained with increasing gap length, from 200 to 5000 samples for different musical genres. A subjective performances analysis is also reported. The method gives good results for the reconstruction of over 100 ms of audio signal with low audible effects in overall quality and outperforms the previous approaches. Index Terms—Audio signal recovery, audio signal restoration, multirate neural networks (NNs), nonlinear prediction, spline neural networks, subband adaptive filters. I.
Design of digital filters and filter banks by optimization: Applications
 in Proc. of EUSIPCO
, 2000
"... This paper emphasizes the usefulness and the flexibility of optimization for finding optimized digital signal processing algorithms for various constrained and unconstrained optimization problems. This is illustrated by optimizing algorithms in six different practical applications. The first four ap ..."
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Cited by 7 (1 self)
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This paper emphasizes the usefulness and the flexibility of optimization for finding optimized digital signal processing algorithms for various constrained and unconstrained optimization problems. This is illustrated by optimizing algorithms in six different practical applications. The first four applications include optimizing nearly perfectreconstruction filter banks subject to the given allowable errors, minimizing the phase distortion of recursive filters subject to the given amplitude criteria, optimizing the amplitude response of pipelined recursive filters, and optimizing a modified Farrow structure with an adjustable fractional delay. In the last two applications, optimization algorithms are used as intermediate steps for finding the optimum discrete values for coefficient representations for various classes of lattice wave digital (LWD) filters and linearphase finite impulse response (FIR) filters. For the last application, linear programming is utilized, whereas for the first five ones the following twostep strategy is applied. First, a suboptimum solution is found using a simple systematic design scheme. Second, this startup solution is improved by using a generalpurpose nonlinear optimization algorithm, giving the optimum solution. Three alternatives are considered for constructing this generalpurpose algorithm. Index Terms—Optimization, nonlinear optimization, linear programming, digital signal processing, filter banks, digital filters, coefficient quantization, fractional delay filters, linearphase recursive filters, multiplierless design, lattice wave digital filters, VLSI implementation. 1
Design of Practically PerfectReconstruction CosineModulated Filter Banks, a second order cone programming approach
 IEEE Transactions on Circuits and SystemI
, 2004
"... Designing optimal perfectreconstruction (PR) and near PR (NPR) cosinemodulated filter banks is essentially a constrained nonlinear minimization problem. This paper proposes two secondorderconeprogramming based algorithms for designing NPR and practically PR cosinemodulated filter banks with im ..."
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Cited by 6 (1 self)
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Designing optimal perfectreconstruction (PR) and near PR (NPR) cosinemodulated filter banks is essentially a constrained nonlinear minimization problem. This paper proposes two secondorderconeprogramming based algorithms for designing NPR and practically PR cosinemodulated filter banks with improved performance relative to several established design methods. 2 I.
Filter Bank Tree and MBand Wavelet Packet Algorithms in Audio Signal Processing
 IEEE Trans. SP
, 1999
"... This correspondence investigates Mband wavelet packets and a generalized framework for the design and efficient utilization of multirate filter bank trees (FBTs). While the increased flexibility of Mband wavelet packets over the standard 2band wavelet packets is desirable in many signal processin ..."
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This correspondence investigates Mband wavelet packets and a generalized framework for the design and efficient utilization of multirate filter bank trees (FBTs). While the increased flexibility of Mband wavelet packets over the standard 2band wavelet packets is desirable in many signal processing applications, the possibilities in timefrequency design using arbitrary filter bank cascades are even greater. We show how to construct FBTs for arbitrary given treelike splits of the timefrequency plane. Furthermore we give an explicit construction for efficient simultaneous subband and spectral analysis in the general FBT case. Results from audio signal processing applications show that the proposed methods in many cases yield better results than those using standard wavelet packets.
Efficient Design of CosineModulated Filterbanks via Convex Optimization
 Copyright © 2010 SciRes. IJCNS 942
"... Abstract—This paper presents efficient approaches for designing cosinemodulated filter banks with linear phase prototype filter. First, we show that the design problem of the prototype filter being a spectral factor of thband filter is a nonconvex optimization problem with low degree of nonconvex ..."
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Abstract—This paper presents efficient approaches for designing cosinemodulated filter banks with linear phase prototype filter. First, we show that the design problem of the prototype filter being a spectral factor of thband filter is a nonconvex optimization problem with low degree of nonconvexity. As a result, the nonconvex optimization problem can be cast into a semidefinite programming (SDP) problem by a convex relaxation technique. Then the reconstruction error is further minimized by an efficient iterative algorithm in which the closedform expression is given in each iteration. Several examples are given to illustrate the effectiveness of the proposed method over the existing ones. Index Terms—Convex optimization, cosinemodulated filter bank, prototype filter, semidefinite programming. I.
An oversampled filter bank with different analysis and synthesis filters for the use with adaptive filters
 in Conference Record of the ThirtyFirst Asilomar Conference on Signals, Systems and Computers
, 1997
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Nonuniform Multirate Filter Banks: Analysis and Design with an ... Performance Measure
 IEEE Trans. Signal Processing
, 1995
"... A general multirate filterbank system with multiple channels and nonuniform bands is studied with the reconstruction performance measured by the worstcase energy gain (H1 norm) of the error system between the multirate system and a pure timedelay system. Using blocking and polyphase decomposition ..."
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Cited by 4 (2 self)
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A general multirate filterbank system with multiple channels and nonuniform bands is studied with the reconstruction performance measured by the worstcase energy gain (H1 norm) of the error system between the multirate system and a pure timedelay system. Using blocking and polyphase decomposition, we associate with the multirate system an equivalent linear timeinvariant (LTI) system whose transfer matrix can be computed by a simple procedure. Based on this LTI system, the optimal design problem can be reduced to one of H1 optimization, which can be solved by readymade software in many cases. For illustration, optimal synthesis filters are designed for a twochannel example and their properties are studied in detail. EDICS Number: SP 2.4.1. Keywords: digital signal processing, multirate filtering, nonuniform filter banks, fractional decimation, H1 optimization. 1 Introduction This paper treats a general multirate system depicted in Figure 1. Shown are m channels numbered 0; 1; \De...
Adaptive Array Processing for Multipath Fading Mitigation via Exploitation of Filter Banks
 IEEE Trans. Antennas Propagat
, 2001
"... In this paper, we propose subband adaptive array processing for mitigation of both intersymbol interference (ISI) and cochannel interference (CCI) in digital mobile communications. Subband adaptive array processing employs filter banks in a frontend to an adaptive array receiver. By decomposing th ..."
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In this paper, we propose subband adaptive array processing for mitigation of both intersymbol interference (ISI) and cochannel interference (CCI) in digital mobile communications. Subband adaptive array processing employs filter banks in a frontend to an adaptive array receiver. By decomposing the signals into a set of subband sets, the analysis filters enhance the correlation of multipath rays in each subband. This enhancement is blind in the sense that no a priori knowledge of the temporal characteristics or spatial signatures of arriving signals is required. With the increased coherence, the desired signal can be effectively equalized by subsequent spatial processing. Further, the CCI signals and their multipaths can be suppressed with fewer degreesoffreedom. The effects of QMF and DFT filter banks on multipath correlation are delineated. *Corresponding Author: