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.

Algorithms for Optimal Multirate Filter Bank Design

Abstract: This paper is coiiccriied with the problem of tlesigiiiiig optimal multirate filter banks. Three desigii crit.eria are considered for linear phase FIR filter hik5: H’ measure, H, aid the mixture of them. -4 closetl-fnriii solution is preseiit.ed for optimal Hz filter bail; tlcssigii. For optimal H, filter bank design, two algoritliiiis are given which involve solving the design probhn risiiig positive semi-definite programming techniques. The mixed H2/H, desigii problem is also solved. Tlie results of this paper are excepted to be useful in applications sucli as speecli codmg, sampling rate coiiv(.wim and multi-stage filtcriiig.

A new algorithm for designing prototype filters for M-band Pseudo QMF banks

Abstract: This paper presents a simple and efficient method to design M-band Pseudo Quadrature Mirror Filter (QMF) banks This method does not rely on a conventional nonlinear optimization method but rather on an Iterative Least Squares algorithm The algorithm is rapidly converging, simple to implement and flexible Its convergence does not depend on the starting point Moreover iteratively calculated weighting functions can be used to shape the stopband of the prototype filter and the filter bank transfer function, and perform the minimax or the gain constrained least squares approximation Design examples and a MATLAB program implementing the proposed algorithm are included

Non-separable 2d biorthogonal wavelets with two-row filters

Abstract: In the literature 2D (or bivariate) wavelets are usually constructed as a tensor product of 1D wavelets. Such wavelets are called separable. However, there are various applications, e.g. in image processing, for which non-separable 2D wavelets are prefered. In this paper, we investigate the class of compactly supported orthonormal 2D wavelets that was introduced by Belogay and Wang.2 A characteristic feature of this class of wavelets is that the support of the corresponding filter comprises only two rows. We are concerned with the biorthogonal extension of this kind of wavelets. It turns out that the 2D wavelets in this class are intimately related to some underlying 1D wavelet. We explore this relation in detail, and we explain how the 2D wavelet transforms can be realized by means of a lifting scheme, thus allowing an efficient implementation. We also describe an easy way to construct wavelets with more rows and shorter columns.

Design of nonrecursive quadrature mirror filters

Abstract: A new method of designing nonrecursive quadrature mirror filters with small deviation from the desired overall response is described. By imposing linear constraints at the midpoint of the filter frequency scale, in addition to the normal passband and stopband constraints, a solution that is very close (doubt) optimum is obtained. Satisfactory designs can thus be obtained without resorting to techniques involving the solution of nonlinear constraints. Some results of practical interests are presented.