Observation signals are often distorted, incomplete and noisy and hence, noise reduction and elimination of distortion channel is an important part of signal processing systems. Advanced Digital Signal Processing and Noise Reduction, Third Edition, provides fully updated and structured presentation of theory and application of statistical signal processing and noise reduction methods. Noise is the eternal curse of communications engineers, who are always trying to find new ways to increase the ratio of signal-to-noise in communication systems and these resources will help them with this task. * Features two new chapters on Noise, Distortion and Diversity in Mobile Environments and Noise Reduction Method of Speech Improvement over Noisy Mobile Devices. * Topics covered include: probability theory, Bayesian estimation and classification, hidden Markov models, adaptive filters, multi-band linear prediction, spectral estimation, and impulsive and transient noise removal. * Explore practical solutions to interpolate missing signals, echo cancellation, removal of impulsive noise and transients, channel equalization, HMM-based signal and noise decomposition. This is an invaluable text for seniors, graduate students and researchers in the field of digital signal processing, telecommunications and statistical data analysis.