Abslraci --It is shown that a large class of real-coefficient doubly-complementary IIR transfer function pairs can be implemented by means of a single complex allpass filter. For a real input sequence, the real part of the output sequence corresponds to the output of one of the transfer functions G(z) (foi example, lowpass), whereas the imaginary part of the output sequence corresponds to its “...

Energy compaction filters have attracted considerable attention due in part, to the fact that they are the building blocks of optimal orthonormal (paraunitary) filter banks. In this paper we introduce some new design techniques for optimum M-channel FIR compaction filters for a given input power spectrum. Some properties of the optimum FIR compaction filters and the corresponding maximum compac...

This paper studies the fundamental issue of determining if a linear precoder, such as a filter bank, introduces enough redundancy to enable the receiver to identify the unknown finite impulse response channel. Prior to the work herein, identifiability had only been resolved for specially designed linear precoders for which linear algebra or z-matrix theory sufficed.

J. S. Mao S. C. Chan K. L. Ho The University of Hong Kong Department of Electrical and Electronic Engineering Pokfulam Road Hong Kong E-mail: [email protected] [email protected] [email protected] Abstract. A new method for designing two-channel causal stable IIR PR filter banks and wavelet bases is proposed. It is based on the structure previously proposed by Phoong et al. (1995). Such a filter b...

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 ...

In radar, sonar, and ultrasonic detection system, interference due to clutter can severely deteriorate the quality of the received signal to the point of concealing the target. This paper presents theoretical analysis of order statistic processors for improved target detection. The sort function is used to provide in s i i t into the optimal rank for detection of various targets and clutter env...

In this paper we propose oversampled three channels FIR filter banks [FB]. Channels are selected likewise which gives the result near perfect reconstruction filter bank. The inband aliasing is significantly reduced by selecting proper frequency spectrum and design of filters of filter banks. This design gives the result of oversampled FIR filter bank for two dimensional MRI image with peak sign...

In the feed forward Active Noise Control system (ANC) with secondary path modelling there are two important requirements to be satisfied. The first is that an accurate estimate of ) (z S should be produced, regardless of the controller transfer function ) (z W . This independence property will ensure that the overall ANC system is robust. The second requirement is that the adaptive filter ) ( ˆ...

Tight Weyl–Heisenberg frames in `(Z) are the tool for short-time Fourier analysis in discrete time. They are closely related to paraunitary modulated filter banks and are studied here using techniques of the filter bank theory. Good resolution of short-time Fourier analysis in the joint time–frequency plane is not attainable unless some redundancy is introduced. That is the reason for consideri...