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.
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09 Jul 2015
TL;DR: In this article, a design method of the optimum quadrature mirror filters (QMF), by using grouped B-spline functions in each transition band, is presented, which can approximate the response of each frequency band.
Abstract: The design of two channel Quadrature Mirror Filter (QMF) banks is considered with constraints on the peaks of the reconstruction error and that of the subband filter ripple sizes. In this paper a design method of the optimum quadrature mirror filters (QMF), by using grouped B-spline functions in each transition band, is presented. It was shown that linear phase FIR filters cannot exactly satisfy the condition that the squared amplitude frequency responses are mirror images of each other about the line ω = π / 2, which has led to the name quadrature mirror flters. It is important to have a flat frequency response for the filters. The solution is to approximate the response of each frequency band by using grouped B-spline functions, that insures continuous superior order derivatives.
2 citations
01 Jan 2008
TL;DR: This thesis solves the lack of a closed-form run-time solution to the nontrivial problem of rotating wavelets, which is fundamental to solving the environment lighting problem, and derives closed- form expressions for linear phase-shifting in the Haar domain for one-dimensional signals, which can be generalized to N- dimensional signals due to separability.
Abstract: In this thesis, we establish the underlying research background necessary for tackling the problem of phase-shifting in the wavelet transform domain. Solving this problem is the key to reducing the redundancy and huge storage requirement in Image-Based Rendering (IBR) applications, which utilize wavelets. Image-based methods for rendering of dynamic glossy objects do not truly scale to all possible frequencies and high sampling rates without trading storage, glossiness, or computational time, while varying both lighting and viewpoint. This is due to the fact that current approaches are limited to precomputed radiance transfer (PRT), which is prohibitively expensive in terms of memory requirements when both lighting and viewpoint variation are required together with high sampling rates for high frequency lighting of glossy material. At the root of the above problem is the lack of a closed-form run-time solution to the nontrivial problem of rotating wavelets, which we solve in this thesis. We specifically target Haar wavelets, which provide the most efficient solution to solving the tripleproduct integral, which in turn is fundamental to solving the environment lighting problem. The problem is divided into three main steps, each of which provides several key theoretical contributions. First, we derive closed-form expressions for linear phase-shifting in the Haar domain for one-dimensional signals, which can be generalized to N-dimensional signals due to separability.
2 citations
01 Jan 2012
TL;DR: The theoretical analysis proposed that Unscented Kalman Filter is only a special case for Sparse-grid Quadrature Filter, thus SSRQF is more flexible in terms of choosing points and controlling accuracy, and is a high accuracy nonlinear filter algorithm with computationally efficient.
Abstract: For nonlinear estimation with additive noise,we utilized the sparse-grid theory to propose a novel nonlinear filter,Sparse-grid Square-Root Quadrature Filter(SSRQF).The quadrature points for the conventional QF increases exponentially with the dimension.However,the new filter SSRQF uses the sparse-grid theory to reduce the number of quadrature points to a polynomial with the dimension,which alleviates the computation burden greatly.Through the theoretical analysis,we proposed that Unscented Kalman Filter(UKF) is only a special case for Sparse-grid Quadrature Filter(SQF),thus SSRQF is more flexible in terms of choosing points and controlling accuracy.The simulation results show that the SSRQF achieves higher accuracy than the UKF and the Extended Kalman Filter(EKF).Thus,it is a high accuracy nonlinear filter algorithm with computationally efficient.
2 citations
01 Jan 2005
TL;DR: In this article, the authors propose a method to solve the problem of homonymity in the context of homonyms, i.e., homophily-based homonyms.
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2 citations
01 Oct 2019
TL;DR: This paper presents the minor component analysis algorithm for designing 2-channel quadrature mirror filter using the polyphase structure and demonstrates that the exploited neural learning algorithm achieves accurate design performance.
Abstract: Polyphase framework has been found considerable investigation due to its flexibility in filter implementation. This paper presents the minor component analysis algorithm for designing 2-channel quadrature mirror filter using the polyphase structure. The low-pass prototype analysis filter is achieved when the linear neural model reaches convergence. Simulation results demonstrate that the exploited neural learning algorithm achieves accurate design performance.
2 citations