A Theory for Multiresolution Signal Decomposition: The Wavelet Representation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Multirate systems and filter banks
Multirate systems and filter banks
Wavelets and subband coding
A High Speed Shift-Invariant Wavelet Transform Chip for Video Compression
ISVLSI '02 Proceedings of the IEEE Computer Society Annual Symposium on VLSI
Wavelets and filter banks: theory and design
IEEE Transactions on Signal Processing
The discrete wavelet transform: wedding the a trous and Mallatalgorithms
IEEE Transactions on Signal Processing
Fast algorithms for discrete and continuous wavelet transforms
IEEE Transactions on Information Theory - Part 2
Frequency domain volume rendering by the wavelet X-ray transform
IEEE Transactions on Image Processing
Symmetric self-Hilbertian filters via extended zero-pinning
Signal Processing
Novel color demosaicking for noisy color filter array data
Signal Processing
A new automatic target recognition system based on wavelet extreme learning machine
Expert Systems with Applications: An International Journal
A new method for expert target recognition system: Genetic wavelet extreme learning machine (GAWELM)
Expert Systems with Applications: An International Journal
A new class of almost symmetric orthogonal Hilbert pair of wavelets
Signal Processing
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Given a signal and its Fourier transform, we derive formulas for its polyphase decomposition in the frequency domain and for the reconstruction from the polyphase representation back to the Fourier representation. We present two frequency-domain implementations of the shift-invariant periodic discrete wavelet transform (SI-DWT) and its inverse: one that is based on frequency-domain polyphase decomposition and a more efficient 'direct' implementation, based on a reorganisation of the a trous algorithm. We analyse the computational complexities of both algorithms, and compare them to existing time-domain and frequency domain implementations of the SI-DWT. We experimentally demonstrate the reduction in computation time achieved by the direct frequency domain implementation of the SI-DWT for wavelet filters with non-compact support.