We propose a novel way to design maximally decimated FIR cosine modulated filter banks, in which each analysis and synthesis filter has linear phase. The system can be designed to have either the approximate reconstruction property (pseudoQMF system) or perfect reconstruction property (PR system). In the PR case, the system is a paraunitary filter bank. As in earlier work on cosine modulated sy...

Scaling functions and orthogonal wavelets are created from the coeecients of a lowpass and highpass lter (in a two-band orthogonal lter bank). For \multiilters" those coeecients are matrices. This gives a new block structure for the lter bank, and leads to multiple scaling functions and wavelets. Geronimo, Hardin, and Massopust constructed two scaling functions that have extra properties not pr...

The idea of a lapped transform (LT, for short) maintaining orthogonality and nonexpansion of the samples was developed in the early 80’s at MIT by a group of researchers unhappy with the blocking artifacts so common in traditional block transform coding of images. The idea was to extend the basis function beyond the block boundaries, creating an overlap, in order to eliminate the blocking effec...

The growing demands for delivering multimedia services over Internet and wireless networks call for high-performance and low-complexity data compression and transmission algorithms. Various such algorithms are developed in this dissertation using the filter bank theory. We first present a systematic design of multiplierless approximation of the Discrete Cosine Transform (DCT). Our method simpli...

Recently, research on two distinct types of wavelet frames have emerged, each with its own characteristics. The dual-tree discrete wavelet transform (DWT) [1] is based on the concatenation of two wavelet bases, where the two wavelets are designed to form a Hilbert transform pair, Ãg(t) = HfÃh(t)g [4]. A second type of wavelet frame is based on a single scaling function and two distinct wavelets...

The growing popularity of wireless applications has placed enormous burden on valuable resources such as spectral bandwidth. This has brought about a major revamp of traditional resource allocation policies culminating in an explosion of research activity in the field of cognitive radio (CR) (Mitola, Cognitive radio: an integrated agent architecture for software defined radio, Doctoral disserta...

The aim of speech scrambling algorithms is to transform clear speech into an unintelligible signal so that it is difficult to decrypt it in the absence of the key. Most of the existing speech scrambling algorithms tend to retain considerable residual intelligibility in the scrambled speech and are easy to break. Typically, a speech scrambling algorithm involves permutation of speech segments in...

This paper proposes to investigate a new class of M-band linear phase modulated lter banks. In particular we propose to investigate diierent methods for designing the prototype lter based on perceptual measures such as reduced image artifacts as well as more traditional measures such as coding gain and mean square diierence. Image compression at low bit rates typically introduces image artifact...

A lattice structure based on the singular value decomposition (SVD) is introduced. The lattice can also be proven to use a minimal number of delay elements and to completely span a large class of M-channel linear phase perfect reconstruction filter bank (LPPRFB): all analysis and synthesis filters have the same FIR length of L = K M , sharing the same center of symmetry. The lattice also struct...

Motivated by the heterogeneity of today’s world of wireless communications, there is a growing demand for terminals supporting different services and applications over a variety of networks. Reconfigurability is a key ingredient of such terminals in order to deliver optimal quality of service over diverse communication environments. We consider a reconfigurable baseband receiver architecture wh...