Wavelet Transforms and Their Applications Recent Advances

This book delves into an exposition on spectral analysis, restoring, monitoring, and signal processing, as well as essential applications required in waveguides and for the improvement of medical images, proving the wavelet transform to be helpful in resolution analysis in time-frequency, with an emphasis on different methods of the calculus using FFT and DSTFT.

Today, more sophisticated techniques are necessary for spectral analysis, reconstruction, restoration of signals, their digital and analogic processing, specialized signal diagnostics, and short intervals with occurrences that require greater speed and precision. As the frequency domain of the wavelet transform gets more detailed and considerably more specific in various applications, it necessitates specialized scholarly attention in its many forms and relationships with other transforms with special functions.
For example, using the wavelet transform with special functions can prove valuable in creating and designing special signal filters or the interphase between reception-emission devices with specialized sensors for medical use. In quantum phenomena, its corresponding version of the wavelet transform is instrumental in the spectral study of particles and their correlation.
This book covers all the abovementioned subjects.

Contents
1. Analysis and Processing of One-Dimensional Signals Using Wavelet
2. Time Frequency Analysis for Radio Frequency (RF) Signal Processing
3. A Modern Review of Wavelet Transform in Its Spectral Analysis
4. Bases of Wavelets and Multiresolution in Analysis on Wiener Space
5. Wavelet Transform-Spectrum Sensing
6. Monitoring the Condition of Railway Tracks Using a Convolutional Neural Network
7. Image Restoration and Noise Reduction with Context-Dependent Wavelet Graph and ADMM Optimization
8. Application to Medical Image Processing
9. Straight Rectangular Waveguide for Circular Dielectric Material in the Cross Section and for Complementary Shape of the Cross Section