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Signals and Systems (Pws-Kent Series in Electrical Engineering)

Poularikas, Alexander D., Seely, Samuel 1990

The second edition of this comprehensive text continues to explore basic concepts and applications of signal system analysis. It is assumed students have completed a course in circuits and have a proficiency in the use of differential equations. Modern applications are included on such topics as optical system processing and photonics. The text contains abundant examples, illustrations, and problems. Detailed appendixes cover complex variable theory and matrix theory. The second edition features a combined section on optical and acousto-optical principles and applications in signal processing studies. New discussions on the Hartley transform and the discrete Hartley transform have been added where appropriate, and new examples from a variety of disciplines are included. A solutions manual is available to qualified instructors.


Why Read This Book

You will gain a rigorous, application-oriented grounding in signals and systems that connects transform-domain theory to practical problems in communications, radar, audio/speech, and optical signal processing. The book balances mathematical depth (Laplace, Fourier, Z-transforms) with worked examples, problems, and appendices that make it a durable reference for engineers who need both theory and applied techniques.

Who Will Benefit

Intermediate-level electrical engineers, DSP students, and signal-processing practitioners who want a mathematically solid text that links classical transform methods to applications in communications, radar, audio, and optical processing.

Level: Intermediate — Prerequisites: One course in circuits and proficiency with differential equations, plus comfort with calculus and basic linear algebra (complex-variable and matrix background is helpful).

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Key Takeaways

  • Analyze continuous- and discrete-time signals and LTI systems using Fourier, Laplace, and Z-transforms.
  • Design and evaluate frequency-domain characteristics of analog and digital filters and relate impulse/step responses to system behavior.
  • Apply DFT/FFT and Hartley transforms for efficient spectral analysis and fast convolution implementations.
  • Use state-space and matrix methods to represent, analyze, and assess stability of linear systems.
  • Perform basic statistical and spectral analysis of random signals and noise for communications and radar problems.
  • Translate theory to practice in applications such as optical/acousto-optical processing, communications links, and audio/speech signal tasks and build a foundation for adaptive filtering and modern wavelet-based methods.

Topics Covered

  1. 1. Basic Signal Concepts and System Definitions
  2. 2. Time-Domain Analysis of Continuous-Time LTI Systems
  3. 3. Fourier Series and Fourier Transform for Continuous-Time Signals
  4. 4. Laplace Transform and System Function Analysis
  5. 5. Sampling Theorem and Continuous-to-Discrete Conversion
  6. 6. Discrete-Time Signals and Systems; Z-Transform
  7. 7. Discrete Fourier Transform, FFT Algorithms, and Efficient Convolution
  8. 8. Digital Filter Design: FIR and IIR Techniques and Frequency Response
  9. 9. State-Space Methods and Matrix Representations of Systems
  10. 10. Spectral Analysis and Statistical Signal Processing of Random Processes
  11. 11. Applications: Communications, Radar, Audio/Speech, and Optical Signal Processing
  12. 12. Hartley Transform and the Discrete Hartley Transform
  13. Appendices: Complex Variable Theory, Matrix Theory, and Solutions Manual

Languages, Platforms & Tools

Mathematical analysis (primary focus)MATLAB (recommended companion for exercises)Python with NumPy/SciPy (recommended companion for numerical experiments)

How It Compares

Covers the same fundamental ground as Oppenheim & Willsky's Signals and Systems but places more emphasis on applied examples (optical/acousto‑optical and Hartley transforms); it is less focused on modern DSP algorithm implementation than Proakis & Manolakis' DSP texts.

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