Tree-structured complementary filter banks are developed with transfer functions that are simultaneously all-pass complementary and power complementary. Using a formulation based on unitary transforms and all-pass functions, we obtain analysis and synthesis filter banks which are related through a transposition operation, such that the cascade of analysis and synthesis filter banks achieves an ...

In this paper, we propose an optimisation method based on a multi-objective Genetic Algorithm (GA) for the design of orthogonal filter banks in an image coding scheme. A parameterization is used to achieve perfect reconstruction orthonormal FIR filter banks with a first order regularity. We search the optimal parameter set according to the coding gain, frequency selectivity and the group delay ...

We present two-dimensional filter banks with directional vanishing moments. The directional-vanishing-moment condition is crucial for the regularity of directional filter banks. However, it is a challenging task to design orthogonal filter banks with directional vanishing moments. Due to the lack of multidimensional factorization theorems, traditional one-dimensional methods cannot be extended ...

It is well known that the analysis and synthesis filters of orthonormal DFT filter banks can not have good frequency selectivity. The reason for this is that each of the analysis and synthesis filters have only one passband. Such frequency stacking (or Configuration) in general does not allow alias cancelation when the individual filters have good stopband attenuation. A frequency stacking of t...

A new approach to the non-expansive two band decomposition of finite length signals is introduced. The technique is based on the time-varying perfect reconstruction filter banks concept. In this approach the main analysis filter bank is instantaneously switched, at the signal boundaries, to a shorter filter bank: the D1 or Haar filter bank. The technique can be applied to all types of two band ...

This paper reports on the application of spatially variant IIR filter banks to subband image coding. The new filter bank is based on computationally efficient recursive polyphase decompositions that dynamically change in response to the input signal. In the absence of quantization, reconstruction can be made exact. However, by proper choice of an adaptation scheme, we show that subband image co...

A design method for causal bi-orthogonal PR FIR M -band filter banks is described, which allows an explicit control over system delay, independent of the filter length, with the lowest possible delay equal to the blocking delay of M 1 samples. The design method is very general and can be applied to non-uniform filter banks but also treats uniform modulated filter banks as a special case.

Efficient iterative methods are described for designing orthogonal and biorthogonal two-channel perfect-reconstruction FIR filter banks in such a way that for the analysis and the synthesis lowpass filter the number of zeros at z = −1 are fixed and the energies in the given filter stopband regions are minimized. The regularity of the analysis and the synthesis filter banks resulting when using ...

In this paper, we introduce a new generation of perfect-reconstruction filter banks that can be obtained from classical critically sampled filter banks by means of frequency transformations. The novel filters are Laguerre type IIR filters that can be directly derived and designed from ordinary orthogonal or biorthogonal filter banks. Generalized downsampling and upsampling operators based on di...