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Chapter 2: Fundamentals of Signals and Systems

Chapter 2: Fundamentals of Signals and Systems

pp. 10-61

Authors

, California Institute of Technology
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Extract

This chapter introduces different types of signals, and studies the properties of many kinds of systems that are encountered in signal processing. Signals discussed include the exponential signal, the unit step, single-frequency signals, rectangular pulses, Dirac delta signals, and periodic signals. Two-dimensional signals, especially 2D frequencies and sinusoids, are also demonstrated. Many types of systems are discussed, such as homogeneous systems, additive systems, linear systems, stable systems, time-invariant systems, and causal systems. Both continuous and discrete-time cases are discussed. Examples are presented throughout, such as music signals, ECG signals, and so on, to demonstrate the concepts. Subtle differences between discrete-time and continuous-time signals and systems are also pointed out.

Keywords

  • Exponentials
  • sinusoids
  • periodicity
  • frequency
  • linear systems
  • stable systems
  • time-invariant systems
  • causal systems

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