We present a novel class of multirate filter banks that are based on a special class of time-varying filters. The filter operations are done by modifying the usual convolution operations with a twist. We will show that the filter banks allow perfect reconstruction, in spite of the fact that the filters are time-varying and the arithmetic is over finite fields. We prove that the one-dimensional ...

In this study, base on traditional lapped transform’s properties, inherit from some of the special characteristic properties of discrete cosine transform, trigonometric identities and the structure of linear phase filter banks. We present some theoretic properties in the generalized structure of linear phase paraunitary filter bank and build some examples corresponding to these properties. Thes...

Contourlet transform is an efficient directional multiscale decomposition of images that combines the Laplacian pyramid (LP) with directional filter banks (DFBs). The LP decomposes the input image into multiple scales, whereas the DFBs applied on bandpass images of the pyramid yields directional localization. Similar to wavelets in 1-D, the key feature of contourlets is that they can quickly “f...

In this work, two ECG compression schemes are presented using two types of filter banks to decompose the incoming signal: wavelet packets (WP) and nearly-perfect reconstruction cosine modulated filter banks. The conventional embedded zerotree wavelet (EZW) algorithm takes advantage of the hierarchical relationship among subband coefficients of the pyramidal wavelet decomposition. Nevertheless, ...

The residual echo signal characteristics of critically sampled subband acoustic echo cancellers are analyzed. For finite impulse response (FIR) filter banks, the residual echo signal usually has a relatively broad spectral nature around the subband edges. The residual echo signal of power symmetric infinite impulse response (PS-IIR) filter banks, on the other hand, has very narrowband spectral ...

With the exception of the Haar basis, real-valued orthogonalwavelet filter banks with compact support lack symmetry and thereforedo not possess linear phase. This has led to the use of biorthogonalfilters for coding of images and other multidimensional data. There are,however, complex solutions permitting the construction of compactlysupported, orthogonal linear phaseQMF...

Tight Weyl–Heisenberg frames in `(Z) are the tool for short-time Fourier analysis in discrete time. They are closely related to paraunitary modulated filter banks and are studied here using techniques of the filter bank theory. Good resolution of short-time Fourier analysis in the joint time–frequency plane is not attainable unless some redundancy is introduced. That is the reason for consideri...

Theory of optimal orthonormal filter banks has recently been developed under the assumption that quantizers operate at high bit rates. We show that the theory can be simplified if a more general model for quantizers is used. With such a model, we show that principal component filter banks (PCFB) are optimal for orthonormal subband coding under all bit rates and bit allocation strategies. This e...