A matlab toolbox has been developed that analyzes digital lter structures. After describing the digital lter structure in a SPICE-like format, the programs of this toolbox can map a digital lter structure into a state-space description, convert a state-space description to a z-domain transfer function, compute the maximum signal magnitude when input is bounded by unity, compute noise power at t...

|The magnitude of the lters associated with Daubechies' wavelets is shown to converge to an ideal high-pass lter when the length of the support of the wavelets increases to 1. The convergence of the lters is monotonic. That is, the larger support of a Daubechies' wavelet, the better quality of the lter associated with. The rate of the convergence is also given. The magnitude of the lter associa...

This article addresses the problem of designing twochannel near-perfect-reconstruction lter banks over multidimensional lattices. First, a cosine-modulated lter structure having arbitrary spatial shift and phase parameters is considered. The use of this structure leads to many possible two-channel multirate systems. The perfect reconstruction conditions are studied and appropriate choices for t...

Recently connections between the wavelet transform and lter banks have been established. We show that similar relations exist between the Gabor expansion and DFT lter banks. We introduce the \z-Zak transform" by suitably extending the discrete-time Zak transform and show its equivalence to the polyphase representation. A systematic discussion of parallels between DFT lter banks and Weyl-Heisenb...

In this paper we have two interesting results. One is of theoretical interest and the other practical. The theoretical result is that the optimum FIR orthonormal lter bank of a xed nite degree that maximizes the coding gain does not always contain an optimum compaction lter. In other words, in general, there does not exist a principal component lter bank (PCFB) of a given nonzero degree. This i...

| This paper studies approximations for a class of nonlinear lters known as Volterra lters. Although the Volterra lter provides a relatively simple and general representation for nonlinear ltering, often it is highly over-parameterized. Due to the large number of parameters, the utility of the Volterra lter is limited. The over-parameterization problem is addressed in this paper using a tensor ...

This paper studies the design of quadrature mirror lter (QMF) banks via frequency domain optimizations. A direct approach is adopted that gives the necessary and suucient condition for perfect reconstruction (PR). While analysis lter banks are designed to achieve frequency domain speciications required for subband coding, synthesis lter banks are designed to minimize the reconstruction error in...

The performance and complexity of blind algorithms in a digital receiver is dependent on the pre lter prior to discretization of the received continuous time signal and the sampling rate. This paper shows that symbol spaced blind equalization algorithms are in general sub-optimal, since a matched lter cannot be used. We show that, for fractionally spaced equalizers, the prelter can be a general...

Symmetric -Stable (S S) processes are used to model impulsive noise. Wiener lter theory is generally not meaningful in S S environments because the expectations may be unbounded. To develop a lter theory for linear nite impulse response systems with independent identically distributed S S inputs, we propose median orthogonality as a linear lter criterion, present a generalized Wiener-Hopf solut...

This paper introduces a new structure for stack lter-ing, where the lter adapts to the local characteristics encountered in data. Both supervised and unsupervised techniques for optimal design are investigated. We split the image into small regions and select the stack lter to process each region according to the spatial domain or threshold level domain characteristics of the input signal. This...