Discrete vs Continuous Time Impulse Signals

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SUMMARY

The discussion clarifies the distinction between discrete time impulse signals (DT) and continuous time impulse signals (CT). A discrete time impulse function is defined as zero for all points except at zero, where it equals one. In contrast, a continuous time impulse function is also zero for all points except at one, where it approaches infinity, yet the total area under the impulse remains equal to one. This fundamental difference highlights the mathematical properties and applications of each signal type.

PREREQUISITES
  • Understanding of signal processing concepts
  • Familiarity with impulse functions in mathematics
  • Knowledge of discrete and continuous time systems
  • Basic principles of integration and area under curves
NEXT STEPS
  • Research the mathematical representation of discrete time signals
  • Explore the properties of continuous time signals in signal processing
  • Learn about the applications of impulse signals in systems theory
  • Study the Fourier Transform and its relation to impulse signals
USEFUL FOR

Students and professionals in electrical engineering, signal processing researchers, and anyone interested in the mathematical foundations of discrete and continuous time systems.

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Whats the difference between a discrete time impulse and a continuous time impulse signal ?
 
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DT: the function is zero for all points not equal to 0 and equals 1 at 0
CT: the function is zero for all points not equal to 0, equals infinity at 1, but the total area under the impulse is 1
 

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