Fig. 7. Output power trajectories of the two algorithms in the scenario of Fig. 6. curves demonstrates the much better tracking performance of the new algorithm, despite its higher computational requirements. In general, with an implicit assumption of a linearly changing environment , the new algorithm has a better performance when the environment changes in a nonabrupt or fairly smooth manner ...

In the context of multivariate signal processing, factorizations involving so-called para-unitary matrices are relevant as well demonstrated in the book of Vaidyanathan [11], or [4, 1] and more recently in a series of papers by McWhirter and co-authors [5, 6]. However, known factorizations of matrix polynomials, such as the Smith form [10], involve unimodular matrices but usual factorizations s...

Biorthogonal modulated lter banks when compared to paraunitary ones provide the advantage that the overall system delay can be chosen independently of the lter length thus resulting in low delay lter banks They have recently been studied by several authors In the paper we connect di erent design methods quadratic constrained least squares optimization cascade of sparse self inverse matrices and...

Energy compaction filters have attracted considerable attention due in part, to the fact that they are the building blocks of optimal orthonormal (paraunitary) filter banks. In this paper we introduce some new design techniques for optimum M-channel FIR compaction filters for a given input power spectrum. Some properties of the optimum FIR compaction filters and the corresponding maximum compac...

The role of one-dimensional (I-D) digital FIR lossless matrices in the design of FIR perfect reconstruction QMF banks has been explored in several recent articles. Structures which can realize the complete family of FIR lossless transfer matrices have also been developed, with QMF application in mind. For the case of 2-D QMF banks, the same concept of lossless polyphase matrix has been used to ...

Multirate filter banks are fundamental systems commonly used in digital signal processing (DSP). Typically, they are used to decompose a discrete-time signal into a set of frequency selective components called subband signals. Filter banks have been found to be useful for lossy data compression schemes such as MP3 and JPEG 2000, denoising, and signal estimation. In the last decade, transmultipl...

This paper investigates various classi cation techniques, applied to subband coding of images, as a way of exploiting the non-stationary nature of image subbands. The advantages of subband classi cation are characterized in a rate-distortion framework in terms of \classi cation gain" and overall \subband classi cation gain." Two algorithms, maximum classi cation gain and equal mean-normalized s...