Matrix analysis
A simple Wilson orthonormal basis with exponential decay
SIAM Journal on Mathematical Analysis
Simple regularity criteria for subdivision schemes
SIAM Journal on Mathematical Analysis
Multirate systems and filter banks
Multirate systems and filter banks
The design of perfect reconstruction nonuniform band filter banks
ICASSP '91 Proceedings of the Acoustics, Speech, and Signal Processing, 1991. ICASSP-91., 1991 International Conference
Perfect reconstruction filter banks with rational sampling rate changes
ICASSP '91 Proceedings of the Acoustics, Speech, and Signal Processing, 1991. ICASSP-91., 1991 International Conference
Oversampled FIR and IIR DFT filter banks and Weyl-Heisenberg frames
ICASSP '96 Proceedings of the Acoustics, Speech, and Signal Processing, 1996. on Conference Proceedings., 1996 IEEE International Conference - Volume 03
High-selectivity filter banks for spectral analysis of music signals
EURASIP Journal on Applied Signal Processing
Discrete Zak transforms, polyphase transforms, and applications
IEEE Transactions on Signal Processing
Tight Weyl-Heisenberg frames in l2(Z)
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
The design of nonuniform modulated filterbanks
IEEE Transactions on Signal Processing
Frame-theoretic analysis of oversampled filter banks
IEEE Transactions on Signal Processing
Rational sampling filter banks based on IIR filters
IEEE Transactions on Signal Processing
An Implementation of Rational Wavelets and Filter Design for Phonetic Classification
IEEE Transactions on Audio, Speech, and Language Processing
Image analysis using a dual-tree M-band wavelet transform
IEEE Transactions on Image Processing
Resolution scalable image coding with dyadic complementary rational wavelet transforms
ICISP'10 Proceedings of the 4th international conference on Image and signal processing
| Hi-index | 35.68 |
Methods widely used to design filters for uniformly sampled filter banks (FBs) are not applicable for FBs with rational sampling factors and oversampled discrete Fourier transform (DFT)-modulated FBs. In this paper, we show that the filter design problem (with regularity factors/vanishing moments) for these two types of FBs is the same. Following this, we propose two finite-impulse-response (FIR) filter design methods for these FBs. The first method describes a parameterization of FBs with a single regularity factor/vanishing moment. The second method, which can be used to design FBs with an arbitrary number of regularity factors/vanishing moments, uses results from frame theory. We also describe how to modify this method so as to obtain linear phase filters. Finally, we discuss and provide a motivation for iterated DFT-modulated FBs.