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IEEE Transactions on Signal Processing

Issue 4 • April 1998

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Displaying Results 1 - 25 of 35
  • Guest Editorial Special Issue on Theory and Application of Filter Banks and Wavelet Transforms

    Publication Year: 1998, Page(s): 829
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  • A generalized algorithm for linear-phase paraunitary filter banks

    Publication Year: 1998, Page(s):1154 - 1158
    Cited by:  Papers (4)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (236 KB)

    A new algorithm for a subclass of linear-phase paraunitary filter banks with generalized filter length and symmetry polarity is reported. New properties in the polyphase matrix are derived, and the lattice factorizations for filter banks with an even and odd number of channels are examined in a generalized algorithm View full abstract»

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  • Divide-and-conquer 2-D phase retrieval using subband decomposition and filter banks

    Publication Year: 1998, Page(s):1152 - 1154
    Cited by:  Papers (2)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (96 KB)

    The two-dimensional (2-D) discrete phase-retrieval problem is to reconstruct a discrete-time signal whose support is known and compact from the magnitude of its discrete Fourier transform. We show how a subband decomposition of this problem can be performed using filter banks. The result is a series of smaller 2-D phase-retrieval problems whose solutions are the phases of the original problem in d... View full abstract»

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  • M-channel compactly supported biorthogonal cosine-modulated wavelet bases

    Publication Year: 1998, Page(s):1142 - 1151
    Cited by:  Papers (18)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (376 KB)

    We generalize the theory of compactly supported biorthogonal two-channel wavelet bases to M-channel. A sufficient condition for the M-channel perfect reconstruction filter banks to construct M-channel biorthogonal bases of compactly supported wavelets is derived. It is shown that the construction of biorthogonal M-channel wavelet bases is equivalent to the design of a M-channel perfect reconstruct... View full abstract»

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  • Oversampled cosine-modulated filter banks with arbitrary system delay

    Publication Year: 1998, Page(s):941 - 955
    Cited by:  Papers (36)  |  Patents (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (840 KB)

    Design methods for perfect reconstruction (PR) oversampled cosine-modulated filter banks with integer oversampling factors and arbitrary delay are presented. The system delay, which is an important parameter in real-time applications, can be chosen independently of the prototype lengths. Oversampling gives us additional freedom in the filter design process, which can be exploited to find FIR PR pr... View full abstract»

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  • Formulas for orthogonal IIR wavelet filters

    Publication Year: 1998, Page(s):1138 - 1141
    Cited by:  Papers (34)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (132 KB)

    Explicit solutions are given for the rational function P(z) for two classes of IIR orthogonal two-band wavelet bases, for which the scaling filter is maximally flat. P(z) denotes the rational transfer function H(z)H(1/z), where H(z) is the (lowpass) scaling filter. The first is the class of solutions that are intermediate between the Daubechies (1992) and the Butterworth wavelets. It is found that... View full abstract»

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  • FIR principal component filter banks

    Publication Year: 1998, Page(s):930 - 940
    Cited by:  Papers (19)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (548 KB)

    Two-dimensional (2-D) principal component filter banks (PCFBs) of finite impulse response (FIR) are proposed. For 2-D signals, among all uniform paraunitary FIR analysis/synthesis filter banks, the FIR PCFBs have the most energy compaction and maximize the arithmetic mean to geometric mean ratio (AM/GM ratio) of subband variances, which is the theoretic coding gain (TCC) of the systems under prope... View full abstract»

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  • Sampling approximation of smooth functions via generalized coiflets

    Publication Year: 1998, Page(s):1133 - 1138
    Cited by:  Papers (4)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (296 KB)

    We present the sampling approximation power of a newly constructed class of compactly supported orthonormal wavelets called generalized coiflets. We study the accuracy of generalized coiflets-based sampling approximation of smooth functions by developing convergence rates for the pointwise approximation error as well as its LP-norm. We show: (i) that the L2-error due to the a... View full abstract»

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  • Theory and design of signal-adapted FIR paraunitary filter banks

    Publication Year: 1998, Page(s):920 - 929
    Cited by:  Papers (63)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (404 KB)

    We study the design of signal-adapted FIR paraunitary filter banks, using energy compaction as the adaptation criterion. We present some important properties that globally optimal solutions to this optimization problem satisfy. In particular, we show that the optimal filters in the first channel of the filter bank are spectral factors of the solution to a linear semi-infinite programming (SIP) pro... View full abstract»

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  • Construction of biorthogonal wavelets starting from any two multiresolutions

    Publication Year: 1998, Page(s):1130 - 1133
    Cited by:  Papers (15)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (244 KB)

    Starting from any two given multiresolution analyses of L2 , {Vj1}j∈Z and {Vj2}j∈Z, we construct biorthogonal wavelet bases that are associated with this chosen pair of multiresolutions. Thus, our construction method takes a point of view opposite to the one of Cohen-Daubechies-Feauveau (1992), which starts from... View full abstract»

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  • Theory and design of optimum FIR compaction filters

    Publication Year: 1998, Page(s):903 - 919
    Cited by:  Papers (66)  |  Patents (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (936 KB)

    The problem of optimum FIR energy compaction filter design for a given number of channels M and a filter order N is considered. The special cases where N<M and N=∞ have analytical solutions that involve eigenvector decomposition of the autocorrelation matrix and the power spectrum matrix, respectively. We deal with the more difficult case of M<N<∞. For the two-channel case and... View full abstract»

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  • On the least asymmetric wavelets

    Publication Year: 1998, Page(s):1125 - 1130
    Cited by:  Papers (2)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (272 KB)

    The asymmetry of Daubechies' (1988, 1992) scaling functions and wavelets can be diminished by minimizing a special second moment in time for the wavelet-generating discrete-time filter. The moment is involved in an uncertainty relation for discrete-time signals. Other measures of asymmetry are addressed as well, and corresponding results are compared View full abstract»

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  • Orthogonal multiwavelets with optimum time-frequency resolution

    Publication Year: 1998, Page(s):830 - 844
    Cited by:  Papers (44)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (1028 KB)

    A procedure to design orthogonal multiwavelets with good time-frequency resolution is introduced. Formulas to compute the time-durations and the frequency-bandwidths of scaling functions and multiwavelets are obtained. Parameter expressions for the matrix coefficients of the multifilter banks that generate symmetric/antisymmetric scaling functions and multiwavelets supported in [O,N] are presented... View full abstract»

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  • Robust image transmission over energy-constrained time-varying channels using multiresolution joint source-channel coding

    Publication Year: 1998, Page(s):1012 - 1026
    Cited by:  Papers (27)  |  Patents (11)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (352 KB)

    We explore joint source-channel coding (JSCC) for time-varying channels using a multiresolution framework for both source coding and transmission via novel multiresolution modulation constellations. We consider the problem of still image transmission over time-varying channels with the channel state information (CSI) available at (1) receiver only and (2) both transmitter and receiver being inform... View full abstract»

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  • Wavelet-based statistical signal processing using hidden Markov models

    Publication Year: 1998, Page(s):886 - 902
    Cited by:  Papers (869)  |  Patents (8)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (452 KB)

    Wavelet-based statistical signal processing techniques such as denoising and detection typically model the wavelet coefficients as independent or jointly Gaussian. These models are unrealistic for many real-world signals. We develop a new framework for statistical signal processing based on wavelet-domain hidden Markov models (HMMs) that concisely models the statistical dependencies and non-Gaussi... View full abstract»

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  • Balanced multiwavelets theory and design

    Publication Year: 1998, Page(s):1119 - 1125
    Cited by:  Papers (131)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (276 KB)

    This article deals with multiwavelets, which are a generalization of wavelets in the context of time-varying filter banks and with their applications to signal processing and especially compression. By their inherent structure, multiwavelets are fit for processing multichannel signals. This is the main issue in which we are interested. First, we review material on multiwavelets and their links wit... View full abstract»

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  • Efficient deformable filter banks

    Publication Year: 1998, Page(s):1168 - 1173
    Cited by:  Papers (18)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (240 KB)

    This article describes efficient schemes for the computation of a large number of differently scaled/oriented filtered versions of an image. We generalize the well-known steerable/scalable (“deformable”) filter bank structure by imposing X-Y separability on the basis filters. The resulting systems, designed by an iterative projections technique, achieve substantial reduction of the com... View full abstract»

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  • Least squares approximation of perfect reconstruction filter banks

    Publication Year: 1998, Page(s):968 - 978
    Cited by:  Papers (13)  |  Patents (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (484 KB)

    Designing good causal filters for perfect reconstruction (PR) filter banks is a challenging task due to the unusual nature of the design constraints. We present a new least squares (LS) design methodology for approximating PRFBs that avoids most of these difficult constraints. The designer first selects a set of subband analysis filters from an almost unrestricted class of rational filters. Then, ... View full abstract»

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  • Fractionally spaced linear and decision-feedback detectors for transmultiplexers

    Publication Year: 1998, Page(s):996 - 1011
    Cited by:  Papers (39)  |  Patents (2)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (476 KB)

    We investigate improved detectors for transmultiplexer-based high bit rate transmission over dispersive channels like telephone wires. The transmitter is based on a synthesis stage. For the receiver, we design fractionally spaced single-input/multiple-output linear detectors, possibly upgraded with a multiple-input/multiple-output decision-feedback section, for an MMSE criterion. The performance o... View full abstract»

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  • Discrete frequency warped wavelets: theory and applications

    Publication Year: 1998, Page(s):874 - 885
    Cited by:  Papers (21)  |  Patents (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (388 KB)

    We extend the definition of dyadic wavelets to include frequency warped wavelets. The new wavelets are generated and the transform computed in discrete-time by alternating the Laguerre transform with perfect reconstruction filterbanks. This scheme provides the unique implementation of orthogonal or biorthogonal warped wavelets by means of rational transfer functions. We show that the discrete-time... View full abstract»

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  • A human identification technique using images of the iris and wavelet transform

    Publication Year: 1998, Page(s):1185 - 1188
    Cited by:  Papers (450)  |  Patents (8)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (96 KB)

    A new approach for recognizing the iris of the human eye is presented. Zero-crossings of the wavelet transform at various resolution levels are calculated over concentric circles on the iris, and the resulting one-dimensional (1-D) signals are compared with model features using different dissimilarity functions View full abstract»

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  • Wavelet functions to estimate velocity in spatiotemporal signals

    Publication Year: 1998, Page(s):1105 - 1118
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (504 KB)

    This paper establishes a framework to estimate velocity from spatiotemporal signals using the wavelet transform and multiresolution techniques. Initial theory is derived with the assumption that the spatiotemporal signal can be represented by a polynomial of order M. Wavelet functions are derived for polynomials of different degree from which the velocity can be estimated as the ratio of two of th... View full abstract»

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  • Motion estimation using a complex-valued wavelet transform

    Publication Year: 1998, Page(s):1069 - 1084
    Cited by:  Papers (90)  |  Patents (3)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (808 KB)

    This paper describes a new motion estimation algorithm that is potentially useful for both computer vision and video compression applications. It is hierarchical in structure, using a separable two-dimensional (2-D) discrete wavelet transform (DWT) on each frame to efficiently construct a multiresolution pyramid of subimages. The DWT is based on a complex-valued pair of four-tap FIR filters with G... View full abstract»

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  • Conditions for convergence of a delayless subband adaptive filter and its efficient implementation

    Publication Year: 1998, Page(s):1158 - 1167
    Cited by:  Papers (7)  |  Patents (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (360 KB)

    This article considers the convergence characteristics of the delayless subband adaptive digital filters (ADFs) proposed by Morgan and Thi (see ibid., vol.43, p.1819-30, 1995). We derive a formula for the step-size parameter to ensure the convergence of ADPs and show that the derived formula enables self-adjusting of its value to ensure convergence regardless of the type of analysis filters employ... View full abstract»

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  • Design of hybrid filter banks for analog/digital conversion

    Publication Year: 1998, Page(s):956 - 967
    Cited by:  Papers (128)  |  Patents (42)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (336 KB)

    This paper presents design algorithms for hybrid filter banks (HFBs) for high-speed, high-resolution conversion between analog and digital signals. The HFB is an unconventional class of filter bank that employs both analog and digital filters. When used in conjunction with an array of slower speed converters, the HFB improves the speed and resolution of the conversion compared with the standard ti... View full abstract»

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Aims & Scope

IEEE Transactions on Signal Processing covers novel theory, algorithms, performance analyses and applications of techniques for the processing, understanding, learning, retrieval, mining, and extraction of information from signals

Full Aims & Scope

Meet Our Editors

Editor-in-Chief
Sergios Theodoridis
University of Athens