ICASSP '97 Proceedings of the 1997 IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP '97)-Volume 3 - Volume 3
Sampling of linear canonical transformed signals
Signal Processing
New sampling formulae related to linear canonical transform
Signal Processing
Sampling rate conversion for linear canonical transform
Signal Processing
Sampling and discretization of the linear canonical transform
Signal Processing
Generalized Hilbert transform and its properties in 2D LCT domain
Signal Processing
Uncertainty principles for linear canonical transform
IEEE Transactions on Signal Processing
Cyclic LTI systems in digital signal processing
IEEE Transactions on Signal Processing
Eigenfunctions of linear canonical transform
IEEE Transactions on Signal Processing
Closed-form discrete fractional and affine Fourier transforms
IEEE Transactions on Signal Processing
Uncertainty Principle for Real Signals in the Linear Canonical Transform Domains
IEEE Transactions on Signal Processing - Part I
Digital Computation of Linear Canonical Transforms
IEEE Transactions on Signal Processing
Two Channel Paraunitary Filter Banks Based on Linear Canonical Transform
IEEE Transactions on Signal Processing
Hi-index | 0.08 |
The linear canonical transform (LCT) has been shown to be a powerful tool for optics and signal processing. This paper investigates multi-channel filter banks associated with the LCT. First, the perfect reconstruction (PR) conditions are analyzed and design method of PR filter banks for the LCT is proposed, which demonstrates that the LCT based filter banks can inherit conventional design methods of filter banks in the Fourier domain. Then polyphase decompositions in the LCT domain are defined and polyphase realization of the LCT based filter banks is derived in terms of polyphase matrices. Furthermore, multi-channel cyclic filter banks associated with the LCT are proposed by defining circular convolution in the LCT domain. The PR design method and polyphase representation of cyclic filter banks for the LCT are derived similarly. Finally, simulations validate the proposed design methods of the LCT based filter banks and also demonstrate potential application of the LCT based cyclic filter banks in image subband decomposition.