Topic
Quadrature mirror filter
About: Quadrature mirror filter is a research topic. Over the lifetime, 955 publications have been published within this topic receiving 28900 citations.
Papers published on a yearly basis
Papers
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TL;DR: In this paper, the minor component analysis algorithm based on the neural learning rule is exploited to the design of eigenfilter and results confirm that the proposed neural-based method can achieve accurate performance by incorporating the simple neural model.
Abstract: The design of two-channel quadrature mirror filter banks can be constructed based on real infinite impulse response (IIR) all-pass digital filters without yielding magnitude distortion. The design problem is first formulated as a phase optimization using IIR all-pass filters in the least-squares sense. Then the nonlinear phase optimization is further converted into solving an eigenproblem of an appropriate real, symmetric, and positive-definite matrix. In this paper, the minor component analysis algorithm based on the neural learning rule is exploited to the design of eigenfilter. When the learning algorithm achieves convergence, the weights of the neural system approximate the smallest eigenvector, which are the optimal filter coefficients of the IIR all-pass filters. The simulation results confirm that the proposed neural-based method can achieve accurate performance by incorporating the simple neural model.
13 citations
TL;DR: It is shown in this paper that this problem can be reduced either to convex linear matrix inequality (LMI) optimization or to semi-infinite linear (SIP) programming (when filters are of linear phase), which can be very efficiently solved either by the standard LMI solvers or the previously developed SIP solver.
Abstract: The quadrature mirror filter (QMF) bank with multicriterion constraints such as minimal aliasing and/or minimal error coding is among the most important problems in filterbank design, for solving which linear algebra-based methods are still heuristic and do not always work, especially for large filter length. It is shown in this paper that this problem can be reduced either to convex linear matrix inequality (LMI) optimization (when filters are of nonlinear phase) or to semi-infinite linear (SIP) programming (when filters are of linear phase), which can be very efficiently solved either by the standard LMI solvers or our previously developed SIP solver. The proposed computationally tractable optimization formulations are confirmed by several simulations.
13 citations
Journal Article•
13 citations
23 May 1989
TL;DR: The authors present a novel subband coding method, directional sub band coding of images, in order to match human visual sensitivity, an image is decomposed into a low-frequency component and many high-frequency directional components using a separable quadrature mirror filter and a directional filter.
Abstract: The authors present a novel subband coding method, directional subband coding of images. In order to match human visual sensitivity, an image is decomposed into a low-frequency component and many high-frequency directional components using a separable quadrature mirror filter and a directional filter. Effective coding methods are then used to encode the component images. The method is computationally simple and avoids potentially difficult design problems. Computer simulations show that the method performs well. >
13 citations
08 May 1989
TL;DR: In this article, a discussion is presented of several other criteria that are important for quadrature mirror filters that are to be used in the coding of images, especially image sequences, along with an evaluation of the resulting filters in an image coding environment.
Abstract: When filters for use in quadrature mirror filters (QMF) banks are developed, the only criteria are often frequency behavior, i.e., the filters should have a flat passband and large attenuation in the stopband, and a condition on reconstruction fidelity. A discussion is presented of several other criteria that are important for QMF banks that are to be used in the coding of images, especially image sequences. It turns out that these criteria are different from those that are used in the coding of speech. A list of such criteria is proposed along with an evaluation of the resulting filters in an image coding environment. This evaluation clearly demonstrates the importance of additional criteria in filter design for image coding. >
13 citations