The concept of cyclic filter banks was introduced independently in Ref. [1] and [2], though in [1], a different nomenclature was used. “Cyclic filter banks” is a superset of the traditional non-cyclic filter banks, and readily suggest implementation of subband filtering through DFT. In this paper we show that the DFT implementation is also advantageous for the conventional FIR filter banks. The...

The frequency-response masking (FRM) approach was introduced as a means of generating narrow transition band linear-phase FIR filters with a low arithmetic complexity. This paper proposes an approach for synthesizing two-channel maximally decimated FIR filter banks utilizing the FRM technique. Compared to conventional quadrature-mirror filter (QMF) banks, the proposed banks lower significantly ...

The lifting scheme is a flexible method of designing perfect reconstruction multiwavelet filter banks for signal and image processing. This paper is on the usage of the lifting scheme in constructing such filter banks. It is shown that the constructed filter banks can be implemented very efficiently. Two algorithms on the design of multiwavelet filter banks using the lifting scheme are proposed...

The aim of this paper is to analyze the performance of adaptive synthesis filter banks for image compression at low bit rates. In adaptive synthesis filter banks, analysis section comprises of linear phase filters whereas, synthesis section manages a combination of linear phase and non linear filters (in form of delay filters). The adaptive synthesis filter banks have advantages over convention...

With the development of the theory of wavelet transform, biorthogonal wavelet filter banks with linear phase and compact support characteristics are widely used in signal and image processing. We study the multiscale edge detection using anti-symmetrical biorthogonal wavelet filter banks with the same even length based on the analysis of the properties of this wavelet filter banks. The steps of...

Manuscript received December 17, 1998. Manuscript revised March 2, 1999. † The authors are with the Institute of Industrial Science, The University of Tokyo, Tokyo, 106-8558 Japan. SUMMARY Lossless block transforms and filter banks that map integers to integers are important for unified lossless and lossy image coding systems. In this paper, we present simple yet effective methods for designing...

The ability to support multiple channels of different communication standards, in the available bandwidth, is of importance in modern software defined radio (SDR) receivers. An SDR receiver typically employs a channelizer to extract multiple narrowband channels from the received wideband signal using digital filter banks. Since the filter bank channelizer is placed immediately after the analog-...

We present the characterization and design of multidimensional oversampled FIR filter banks. In the polyphase domain, the perfect reconstruction condition for an oversampled filter bank amounts to the invertibility of the analysis polyphase matrix, which is a rectangular FIR matrix. For a nonsubsampled FIR filter bank, its analysis polyphase matrix is the FIR vector of analysis filters. A major...

Recent years have numerous algorithms to learn a sparse synthesis or analysis model from data. Recently, a generalized analysis model called the ’transform model’ has been proposed. Data following the transform model is approximately sparsified when acted on by a linear operator called a sparsifying transform. While existing transform learning algorithms can learn a transform for any vectorized...

We investigate a special class of N-channel oversampled linearphase perfect reconstruction filter banks with a smaller decimation factor M than N. We deal with systems in which all analysis and synthesis filters have the same FIR length and share the same center of symmetry. We provide the general lattice factorization of a polyphase matrix of a particular class of these oversampled filter bank...