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ECE · Q62

Signal Processing

Engineering and GATE · ECE · question 62

Q62

The Dirac-delta function δ(t) is defined as

A.
\delta \left( t \right) = \left\{ {\matrix{ {1,} & {t = 0} \\ {0,} & {{\rm{otherwise}}} \\ } } \right.
B.
\delta \left( t \right) = \left\{ {\matrix{ {\infty ,} & {t = 0} \\ {0,} & {{\rm{otherwise}}\,} \\ } } \right.
C.
\delta \left( t \right) = \left\{ {\matrix{ {1,} & {t = 0} \\ {0,} & {{\rm{otherwise}}} \\ } } \right.\,\,{\rm{and}}\,\int\limits_{ - \infty }^\infty {\delta \left( t \right)dt = 1}
D.
\delta \left( t \right) = \left\{ {\matrix{ {\infty ,} & {t = 0} \\ {0,} & {{\rm{otherwise}}} \\ } } \right.\,\,{\rm{and}}\,\int\limits_{ - \infty }^\infty {\delta \left( t \right)dt = 1}
Answer

Answer: Option D

Solution

Answer: Option D
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