In this paper we propose a class of 2D circularly-symmetric filter banks based on a 1D IIR Gaussian prototype. We approach two cases, namely dyadic and uniform filter banks. The Gaussian prototype is obtained using an efficient rational approximation, namely the Chebyshev-Padé approximation. Then, using a frequency transformation, the corresponding 2D filters with circular symmetry are derived....

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...

A new filter design strategy to shorten the length of the filter is introduced for sinusoidal speech synthesis using cosinemodulated filter banks. Multiple sinusoidal waveforms for speech synthesis can be effectively synthesized by using pseudo-quadrature mirror filter (pseudo-QMF) banks, which are constructed by cosine modulation of the coefficients of a lowpass filter. This is because stable ...

The use of a noise-shaping system in oversampled filter banks has been shown to improve the effective resolution of subband coders. Although the filter banks directly determine the noise-shaping coefficients, a comparison between theoretical and simulated results has not been done, while the effect of the selection of the filter banks on the performance of the noise-shaping system has not yet b...

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 modulated maximally decimated FIR filter banks utilizing the FRM technique. For this purpose, a new class of FRM filters is introduced. Filters belonging to this class are used for...

This paper solves an open problem, namely, how to construct perfect reconstruction filter banks with rational sampling factors. Such filter banks have N branches, each one having a sampling factor of p i / q i and their sum equals to one. In this way, the well-known theory of filter banks with uniform band splitting is extended to allow for nonuniform divisions of the spectrum. This can be very...

An optimization-based method is proposed for the design of high-performance separable wavelet filter banks for image coding. This method yields linear-phase perfect-reconstruction systems with high coding gain, good frequency selectivity, and certain prescribed vanishing-moment properties. Several filter banks designed with the proposed method are presented and shown to work extremely well for ...

This paper proposes a novel method for designing two-channel and M-channel causal stable IIR PR filter banks using cosine modulation. In particular, we show that the PR condition of the two-channel IIR filter banks is very similar to the two-channel FIR case. Using this formulation, it is relatively simple to satisfy the PR condition and to ensure that the filters are causal stable. Using a sim...

Subband blind source separation methods have been recently proposed with the objective of reducing the computational complexity and improving the convergence rate of online adaptive algorithms. Oversampled subband structures, employing uniform DFT filter banks, are usually employed in order to avoid aliasing effects and keep enough samples to estimate the statistics of the subband signals. In t...

This paper proposes a novel method for designing two-channel and M-channel causal stable IIR PR filter banks using cosine modulation. In particular, we show that the PR condition of the two-channel IIR filter banks is very similar to the two-channel FIR case. Using this formulation, it is relatively simple to satisfy the PR condition and to ensure that the filters are causal stable. Using a sim...