1053-5888/06/$20.00©2006IEEE I n this article, we show how to extend the popular overlap-save (OS) fast convolution filtering technique to create a flexible and computationally efficient bank of filters, with frequency translation and decimation implemented in the frequency domain. In addition, we supply some tips for choosing appropriate fast Fourier transform (FFT) size. Fast convolution is a...

In this letter, we introduce a new syndrome-based decoder where deep neural network (DNN) estimates the error pattern from reliability and syndrome of received vector. The proposed algorithm works by iteratively selecting most confident positions to be bits pattern, updating vector when position is selected. Simulation results for (63,45) (63,36) BCH codes show that approach outperforms existin...

High-speed recursive filter structures for interpolation and decimation with factors of two, and quadrature mirror filter (QMF) banks with perfect magnitude reconstruction, are proposed. The structures are composed of identical all-pass subfilters that are interconnected via extra multipliers. For the case of interpolation and decimation filters, the overall transfer function corresponds in the...

This paper demonstrates a novel lower dimension multi resolution analysis technique to represent facial images using wavelet transform and decimation, which alleviate heavy computational load, reduce noise, produce a representation in low frequency domain and hence make the facial images less sensitive to facial expressions and small occlusions. All coefficients of wavelet transform do not have...

A modification of block truncation coding (BTC) is proposed in this paper. The modification is with a novel adaptive decimation and interpolation method, and predictive entropy coding of the quantization data. The decimation algorithm is designed based on the directional gradients of image blocks so as 1) to preserve the edge information, 2) to enable the interpolator utilize the already recons...

Renormalization Group transformations of the decimation type in more than one dimension. Abstract We develop a formalism for performing real space renormalization group transformations of the " decimation type " using low temperature perturbation theory. This type of transformations beyond d = 1 is highly nontrivial even for free theories. We construct such a solution in arbitrary dimensions an...

We use spectral decimation to provide formulae for computing the harmonic tangents and gradients of Laplacian eigenfunctions on the Sierpinski Gasket. These formulae are given in terms of special functions that are defined as infinite products.