The Dirac-delta function δ(t) is defined as
A. $$\delta \left( t \right) = \left\{ {\matrix{ {1,} & {t = 0} \cr {0,} & {{\rm{otherwise}}} \cr } } \right.$$
B. $$\delta \left( t \right) = \left\{ {\matrix{ {\infty ,} & {t = 0} \cr {0,} & {{\rm{otherwise}}\,} \cr } } \right.$$
C. $$\delta \left( t \right) = \left\{ {\matrix{ {1,} & {t = 0} \cr {0,} & {{\rm{otherwise}}} \cr } } \right.\,\,{\rm{and}}\,\int\limits_{ - \infty }^\infty {\delta \left( t \right)dt = 1} $$
D. $$\delta \left( t \right) = \left\{ {\matrix{ {\infty ,} & {t = 0} \cr {0,} & {{\rm{otherwise}}} \cr } } \right.\,\,{\rm{and}}\,\int\limits_{ - \infty }^\infty {\delta \left( t \right)dt = 1} $$
Answer: Option D
This Question Belongs to Electronics And Communications Engineering >> Signal Processing
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