probability and random processes.pdf

随机信号处理英文教程probability and random processes This book has been written for several reasons, not all of which are academic. This material was for many years the rst half of a book in progress on information and ergodic theory. The intent was and is to provide a reasonably self-contained advanced treatment of measure theory, probability theory, and the theory of discrete time random processes with an emphasis on general alphabets and on ergodic and stationary properties of random processes that might be neither ergodic nor stationary. The intended audience was mathematically inclined engineering graduate students and visiting scholars who had not had formal courses in measure theoretic probability. Much of the material is familiar stu for mathematicians, but many of the topics and results have not previously appeared in books.