The generalized sampling theorem of Papoulis [1], states that a deterministic continuous-time bandlimited signal x t ( ) is uniquely determined from the outputs of M linear systems, sampled at 1 M the Nyquist rate. The concept of multi-channel sampling of Brown, formulates the same property in terms of M analysis and M synthesis analog filters constituting an analog filter bank [2]. In this for...

Hybrid filter banks have received increasing attention in the literature, for applications such as high-speed, high-resolution A/D and D/A converter design. In the manufacturing process, however, the filter coefficients of a hybrid filter bank are plagued with some errors due to technological limitations, particularly those of the analog filters, leading to degradation of the system performance...

A new filter structure and design method for time-varying cosine modulated FIR filter banks with critical sampling, perfect reconstruction, and an efficient implementation is presented. The proposed filter banks have an arbitrary system delay which can be chosen in the design process and is independent of the arbitrary filter length, hence making a low system delay possible. The time variation ...

Filter banks, subband/wavelets, and multiresolution decompositions that employ recursive filters have been considered previously and are recognized for their efficiency in partitioning the frequency spectrum. This paper presents an analysis of a new infinite impulse response (IIR) filter bank in which these computationally efficient filters may be changed adaptively in response to the input. Th...

In this paper, a new approach for the design of non-uniform frequency spacing filter bank using Simulated Annealing has been presented. The filter bank structure is obtained by merging the relevant bands of a uniformly shifted filter bank with integer sampling factors. The design problem is formulated as a single objective unconstrained optimization problem for reducing the amplitude distortion...

Some convergence properties of an adaptive filter structure which employs an analysis filter bank and sparse adaptive subfilters are investigated in this paper. By properly choosing the filter bank and the number of adaptive coefficients, such a structure is capable of modeling any linear system with finite impulse response (FIR). Using the analysis results derived in this paper, an optimizatio...

The existence in L2(R) of biorthogonal wavelet bases associated with perfect reconstruction 2 channel filter banks comprising finite, real filters is determined by the eigenvalues of two related Lawton matrices. Each Lawton matrix is required to have a simple eigenvalue at one and all remaining eigenvalues must have modulus less than one. This being the case then the wavelet bases are said to b...

In this paper we examine the orthogonal wavelet decomposition of ECG signal obtained using computationally efficient IIR perfect reconstruction quadrature-mirror filter (QMF) banks. The decomposition is done using the lowpass branch iterated filter banks. The fifth order Butterworth and elliptic filters are employed. IIR filters’ polyphase components are two real all-pass structures of the firs...

RÉSUMÉ. In this paper, we present a global optimisation method based on a multi-objective Genetic Algorithm (GA) for the design of filter banks in a lossy image coding scheme. To be effective, the filter banks should satisfy a number of desirable criteria related to such scheme. We formulate the optimization problem as multi-objective and we use the Non-dominated Sorting Genetic Algorithm appro...

We propose a novel framework for a new class of two-channel biorthogonal filter banks. The framework covers two useful subclasses: i) causal stable IIR filter banks ii) linear phase FIR filter banks. There exists a very effcient structurally perfect reconstruction implementation for such a class. Filter banks of high frequency selectivity can be achieved by using the proposed framework with low...