A Theory for Multiresolution Signal Decomposition: The Wavelet Representation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Ten lectures on wavelets
A friendly guide to wavelets
Wavelets and subband coding
A Wavelet Tour of Signal Processing, Third Edition: The Sparse Way
A Wavelet Tour of Signal Processing, Third Edition: The Sparse Way
Wavelets and filter banks: theory and design
IEEE Transactions on Signal Processing
The wavelet transform, time-frequency localization and signal analysis
IEEE Transactions on Information Theory
Image coding using wavelet transform
IEEE Transactions on Image Processing
Fast and efficient 3D face recognition using wavelet networks
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
Electrocardiogram Signal Compression Using Beta Wavelets
Journal of Mathematical Modelling and Algorithms
Beta wavelet based ECG signal compression using lossless encoding with modified thresholding
Computers and Electrical Engineering
Classification improvement of local feature vectors over the KNN algorithm
Multimedia Tools and Applications
Hi-index | 0.00 |
Wavelets are known to have many connections to several other parts of mathematics, notably phase-space analysis of signal processing, reproducing kernel Hilbert spaces, coherent states in quantum mechanics, spline approximation theory, windowed Fourier transforms, filter banks and image analysis. In this paper, we study a new orthogonal mother wavelet and wavelet basis system based on Beta function as well as its derivatives. The most important conditions of mother wavelets to be satisfied are the admissibility, the regularity and the orthogonality. All these conditions were verified in the case of the proposed Beta wavelets family. Compared to most known wavelets as Haar, Daubechies, and Coifflet ones, the Beta wavelet family improves efficient results and performances presented in this paper for image compression context.