The description of filter banks using lifting structures does not only benefit low-complexity implementation in software or hardware, but is also advantageous for the design of filter banks because of the guaranteed perfect reconstruction property. This paper proposes a new design method for wavelet filter banks, which is explained based on a single lifting structure suitable for 9/7 filter pai...

In this work we provide polyphase, modulation, and frame theoretical analyses of a filter bank on a discrete abelian group. Thus, multidimensional or cyclic filter banks as well as filter banks for signals in `(Z×Zs) or `(Zr ×Zs) spaces are studied in a unified way. We obtain perfect reconstruction conditions and the corresponding frame bounds.

A new class of two-channel IIR/FIR filter banks was introduced in [1] with half-band IIR analysis filters and FIR synthesis filters. This type of filter bank features very lowcomplexity analysis filters and simultaneously a low overall complexity. In this paper, we consider finite-wordlength effects of these filter banks.

An efficient iterative method is described for designing orthogonal two-channel perfect-reconstruction FIR filter banks in such a way that the low-pass analysis filter has the given number of fixed zeros at z = −1 and its energy in the given stopband region is minimized. When using the resulting two-channel filter bank for generating discrete-time wavelet banks, the number of vanishing moments ...

The design of two-channel filter banks with rational sampling factors is considered based on the use of linearphase finite-impulse response (FIR) filters whose stopband performances are minimized in the least squares sense. It is shown that a proper selection of the filter orders enables one to synthesize a perfect reconstruction filter bank. The optimization of the overall filter bank is carri...

Much attention has recently been given to the construction of signaladapted orthonormal filter banks designed to optimize a particular objective function such as coding gain or a multiresolution criterion. For certain classes of filter banks, the optimum solution is a principal component filter bank (PCFB), which is simultaneously optimal for several objectives including the ones mentioned abov...

In this paper, a new approach for designing two-channel PR FIR filter banks with low system delay is proposed. It is based on the generalization of the structure previously proposed by Phoong et al 161. Such structurally PR filter banks are parameterized by two functions a ( z ) and b ( z ) which can be chosen as linear-phase FIR or allpass functions to construct FIMIR filter banks with good fr...

This paper considers the design and properties of two-channel alias-free finite-impulse response (FIR) filter banks where the analysis filters are optimized by using the peak-constrained least squares (PCLS) optimization criterion. All the alias-free twochannel filter banks proposed in the literature are under consideration. For the proposed PCLS designs, the maximum of the stopband energies of...

In this paper we connect the design of biorthogonal modulated filter banks with the idea of lifting schemes, which were proposed for the construction of biorthogonal wavelets. Based on this formulation, we derive a lattice-like structure for the polyphase components. As the rotationbased structures for the design and implementation of paraunitary modulated filter banks, our structure automatica...