TY - GEN AU - Lyakhov,Pavel AU - Lyakhov,Pavel TI - Mathematics and Digital Signal Processing SN - books978-3-0365-1475-8 PY - 2021/// CY - Basel, Switzerland PB - MDPI - Multidisciplinary Digital Publishing Institute KW - Information technology industries KW - bicssc KW - digital filter KW - finite field algebra KW - conversion device KW - module KW - memory device KW - residue KW - feedback regulation KW - digital signal analysis KW - control efficacy KW - residue number system KW - redundant residue number system KW - modular division KW - fraction KW - algorithm KW - mathematical models of digital signal processing KW - digital filtering KW - maximum correntropy KW - impulsive noise KW - sparse channel estimation KW - discrete wavelet transform KW - medical imaging KW - 3D image processing KW - quantization noise KW - harmonic wavelets KW - classification KW - kNN-algorithm KW - deep neural networks KW - machine learning KW - Fourier transform KW - short-time Fourier transform KW - wavelet transform KW - spectrogram KW - confusion matrix KW - ROC curve KW - 3D model KW - prosthetic design KW - orientation KW - positioning KW - reconstruction KW - speech enhancement KW - adaptive filter KW - microphone array KW - sub-band processing KW - filter bank KW - posture classification KW - skeleton detection KW - motion capture KW - exercise classification KW - virtual rehabilitation KW - wood defect KW - CNN KW - ELM KW - genetic algorithm KW - detection N1 - Open Access N2 - Modern computer technology has opened up new opportunities for the development of digital signal processing methods. The applications of digital signal processing have expanded significantly and today include audio and speech processing, sonar, radar, and other sensor array processing, spectral density estimation, statistical signal processing, digital image processing, signal processing for telecommunications, control systems, biomedical engineering, and seismology, among others. This Special Issue is aimed at wide coverage of the problems of digital signal processing, from mathematical modeling to the implementation of problem-oriented systems. The basis of digital signal processing is digital filtering. Wavelet analysis implements multiscale signal processing and is used to solve applied problems of de-noising and compression. Processing of visual information, including image and video processing and pattern recognition, is actively used in robotic systems and industrial processes control today. Improving digital signal processing circuits and developing new signal processing systems can improve the technical characteristics of many digital devices. The development of new methods of artificial intelligence, including artificial neural networks and brain-computer interfaces, opens up new prospects for the creation of smart technology. This Special Issue contains the latest technological developments in mathematics and digital signal processing. The stated results are of interest to researchers in the field of applied mathematics and developers of modern digital signal processing systems UR - https://mdpi.com/books/pdfview/book/4521 UR - https://directory.doabooks.org/handle/20.500.12854/76930 ER -