Books › Probability, random variables, and random signal principles
Probability, random variables, and random signal principles
First published 1980 · 462 pages
A rigorous, methodical deep dive into the mathematical architecture of probability and digital signals.
What it feels like
Reading this book is a highly cerebral and methodical experience, demanding focus and rewarding it with deep analytical clarity. The pace is necessarily steady, as the text builds a sturdy architecture of understanding through precise, technical prose. Rather than a narrative, the reader is guided through a rigorous intellectual obstacle course, anchored by hundreds of practical examples and extensive problem sets designed for MATLAB. The mood is deeply academic and structured, immersing the reader in a world of permutations, ergodicity, and sampling theory. It is an experience crafted specifically for the serious senior or graduate student, offering the profound satisfaction that comes from mastering complex theoretical foundations and applying them to modern digital systems.
- Mood
- cerebral
- focused
- structured
- Tone
- academic
- instructional
- rigorous
- objective
- Pace
- steady
- Themes
- mathematical rigor · problem-solving · theoretical foundations · analytical mastery
- The writing
- Technical, precise, and heavily structured around practical examples and problem sets.
- The arc
- Moves from foundational concepts to a rigorous, structured mastery of complex systems.
- Who it's for
- Seniors or first-year graduate students seeking a comprehensive, problem-based foundation in digital signal processing and probability.
About the book
"This edition maintains the original level and intent of the book as well as its audience of seniors or first-year graduate students. However, many improvements have been made. These include: sampling theory for random processes and how sampling forms the basis for discrete-time random processes. Other new material for digital signal processing (DSP) topics and a summary of DSP systems is included; new examples and problems have been added based on the use of MATLAB software.
There are now 134 examples and nearly 900 homework problems; and other topics expanded or added include discussion of probability as a relative frequency, permutations, combinations, transformations of random variables, ergodicity of random processes, laws of large numbers, estimation, various inequalities, properties of impulses, and chapter-end summaries. This new material will prove most useful for students concerned with modern digital systems."--BOOK JACKET.
Description from Open Library.
Books like Probability, random variables, and random signal principles
See why they match
Signals and systemsSimon Haykin and Barry Van VeenA rigorous, hands-on journey through the foundational mathematics and real-world applications of engineering systems.
Signals and SystemsAlan V. Oppenheim and Alan S. WillskyA demanding, mathematically rigorous descent into the foundational architecture of modern engineering and signal processing.
Discrete-time signal processingAlan V. OppenheimA rigorous, uncompromising descent into the mathematical foundations of how we process the digital world.
A first course in probabilitySheldon M. RossA rigorous yet intuitive journey through the mathematics of chance, rewarding patient study with profound logical clarity.
Digital signal processingProakis, JohnA massive, rigorous, and deeply analytical immersion into the mathematical foundations of digital systems.
Probability and statistics for engineers and scientistsRonald E. Walpole and Raymond H. MyersA weighty, methodical immersion into the mathematical frameworks that govern uncertainty and empirical analysis.