Discrete vs Continuous Time Impulse Signals

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Discrete time impulse signals are defined as being zero at all points except at zero, where they equal one. In contrast, continuous time impulse signals are also zero at all points except at zero, but they equal infinity at that point, with the total area under the impulse equal to one. The key distinction lies in the representation and behavior of the impulse at the origin, affecting their applications in signal processing. Understanding these differences is crucial for analyzing systems in both discrete and continuous domains. This knowledge is fundamental for engineers and scientists working with signal processing techniques.
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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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