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Schaums Outline of Digital Signal Processing, 2nd Edition

HAYES, Monson H. H. 2011

The ideal review for your digital signal processing course

More than 40 million students have trusted Schaum’s Outlines for their expert knowledge and helpful solved problems. Written by renowned experts in their respective fields, Schaum’s Outlines cover everything from math to science, nursing to language. The main feature for all these books is the solved problems. Step-by-step, authors walk readers through coming up with solutions to exercises in their topic of choice.

  • Outline format facilitates quick and easy review of course fundamentals
  • Hundreds of examples illustrate applications and complex calculations
  • More than 300 solved problems
  • Exercises to help you test your mastery of digital signal processing
  • Appropriate for the following courses: Signals and Systems; Digital Signal Processing; Digital Filters and Signal Processing; Discrete-Time and Continuous-Time Linear Systems
  • Supports and supplements the bestselling textbooks in digital signal processing
  • Easy-to-follow review of digital signal processing
  • Solved problems demonstrate calculation techniques and applications
  • Supports all the major textbooks for digital signal processing courses


Why Read This Book

You should read this if you want a compact, practice-oriented review of core DSP techniques with many worked examples to build problem-solving fluency. The book reinforces theory through hundreds of solved problems so you can quickly check methods and calculations used in DFT/FFT, digital filters, and spectral analysis.

Who Will Benefit

Undergraduate or early graduate students, practicing engineers, and self-learners who need a concise, exercise-heavy companion to develop or refresh practical DSP problem-solving skills.

Level: Intermediate — Prerequisites: Calculus and basic linear algebra, an introductory course in continuous/discrete signals and linear systems, and familiarity with complex numbers and basic probability/statistics.

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Key Takeaways

  • Apply z-transform and discrete-time Fourier transform methods to analyze LTI discrete-time systems
  • Compute DFTs and use FFT algorithms to perform efficient spectral analysis
  • Design and evaluate FIR and IIR digital filters using classic techniques (windows, bilinear transform, pole-zero methods)
  • Perform convolution and correlation computations and interpret system responses
  • Analyze sampled-data systems and apply the sampling theorem and aliasing concepts
  • Solve a wide range of DSP homework-style problems confidently using step-by-step worked solutions

Topics Covered

  1. Brief review of signals and systems
  2. Discrete-time signals and basic operations
  3. The z-transform and system function
  4. Discrete-time Fourier transform (DTFT) and properties
  5. Sampling and the discrete-time model of continuous signals
  6. The discrete Fourier transform (DFT) and properties
  7. Fast Fourier transform (FFT) algorithms
  8. Convolution, correlation, and fast convolution
  9. Design of FIR digital filters (window method, frequency sampling)
  10. Design of IIR filters (bilinear transform, impulse invariance)
  11. Structures for implementing digital filters
  12. Spectral analysis and power spectral density
  13. Selected advanced topics and review
  14. Hundreds of worked problems and exercises with solutions

Languages, Platforms & Tools

MATLAB / Octave (commonly used for worked examples and numericalverification though not required)

How It Compares

Serves the same role as Schaum's Outlines for DSP practice; compared to Oppenheim & Schafer's Discrete-Time Signal Processing it is much more concise and problem-focused rather than theory‑heavy.

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