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Exponential, Step, and Impulse Signals

February 8, 2019 by 3200 Creative

This lesson introduces you to three additional important types of signals: exponentials, steps, and impulses. These signals serve as useful models for physical phenomena and as building blocks for more complicated signals. Both continuous- and discrete-time versions are defined. Adding knowledge of these signals to your understanding of sinusoids will complete your dictionary of fundamental signals used in the study of signal processing.

Prerequisites

  • Sinusoidal Signals

Key Concepts and Screenshots

Concepts and Screenshots for Exponential, Step, and Impulse Signals

Supplementary Material

  • m-file: Exponentials Guitar
  • .mat file for the guitar note A
  • Guitar Note

https://allsignalprocessing.com/ASP-Downloads/Foundations/ExponentialStepImpulseSignals/Guitar_G.wav
  • Synthesized Guitar Note

https://allsignalprocessing.com/ASP-Downloads/Foundations/ExponentialStepImpulseSignals/Synthesized_G.wav
QuizzesStatus
1

Exponential Step and Impulse Signals

2

Exponentials Steps Impulse Signals Exercises


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Course Lessons

  • Signals Everywhere

  • Ever-Present Noise

  • Models, Math, and Real-World Signals

  • Four Signal-Processing Themes

  • Building Signals with Blocks: Basis Expansions

  • Signals: The Basics

  • Sinusoidal Signals

  • Sinusoidal Signals Examples

  • Complex Sinusoids

  • Exponential, Step, and Impulse Signals

  • Introduction to Linear, Time-Invariant Systems

  • Introduction to Difference Equation System Descriptions

  • Impulse Response Descriptions for LTI Systems

  • Frequency Response Descriptions for LTI Systems

  • Introduction to the System Function and System Poles and Zeros

  • The Four Fourier Representations

  • Summary Problems for Foundations

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  • Random Signal Characterization

  • Basis Representations of Signals

  • Estimation of Power Spectra and Coherence

  • Introduction to Signal Estimation and Detection Theory

  • MMSE Filtering and Least-Squares Problems

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