Question
Download Solution PDFWhich of the following points CANNOT be observed about a unit impulse function if it is assumed in the form of a pulse?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFUnit impulse signal:
It is defined as a pulse compressed along the horizontal axis and stretched along the vertical axis keeping the area unity.
It is defined as,
It exists only at t = 0 and the area under impulse function is unity.
Properties:
1.
2.
3. x(t) δ(t – t0) = x(t0)
4.
5.
6.
The discrete time version of the unit impulse is defined by
Properties:
1. x[n] δ[n] = x[0] δ[n]
2.
3. x[n] δ[n – n0] = x[n0] δ[n – n0]
4.
5. δ[an] = δ[n]
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