A Theory for Multiresolution Signal Decomposition: The Wavelet Representation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Ten lectures on wavelets
Fractal functions and wavelet expansions based on several scaling functions
Journal of Approximation Theory
Signal Processing - Special issue on acoustic echo and noise control
A fast and accurate method to register medical images using Wavelet Modulus Maxima
Pattern Recognition Letters
Multi-wavelets from B-spline super-functions with approximation order
Signal Processing
Complex wavelet transforms with allpass filters
Signal Processing - Special section: Hans Wilhelm Schüßler celebrates his 75th birthday
A new method of estimating wavelet with desired features from a given signal
Signal Processing - Content-based image and video retrieval
Shift invariant properties of the dual-tree complex wavelet transform
ICASSP '99 Proceedings of the Acoustics, Speech, and Signal Processing, 1999. on 1999 IEEE International Conference - Volume 03
A Higher Density Discrete Wavelet Transform
IEEE Transactions on Signal Processing
Symmetric nearly shift-invariant tight frame wavelets
IEEE Transactions on Signal Processing
The discrete wavelet transform: wedding the a trous and Mallatalgorithms
IEEE Transactions on Signal Processing
Symmetric self-Hilbertian filters via extended zero-pinning
Signal Processing
Symmetric wavelets dyadic sibling and dual frames
Signal Processing
A new class of almost symmetric orthogonal Hilbert pair of wavelets
Signal Processing
Sharper Symmetric Self-Hilbertian wavelets
Signal Processing
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This paper presents a new set of higher density wavelet frames with symmetric low-pass and band-pass wavelet filters. Based on the maximally flat low-pass linear-phase FIR filter and spectral factorization, two types of design approaches are proposed, which can respectively obtain odd-length FIR filters and even-length FIR filters. The two compact support wavelets respectively have a specified order of vanishing moments and a high degree of regularity. Several design examples are given. The denoising experiments show that the proposed wavelet frames have better shift invariance and denoising performance than the wavelet frames constructed by I.W. Selesnick. In engineering application, the proposed wavelet frame is applied to extract the fault feature of a roller bearing with out-race fault.