“Laplace transform of the impulse response of a system gives its transfer function.” − Comment on the statement.
(a) It is true.
(b) This statement is baseless as the transfer function has nothing to do with the impulse response.
(c) It is true only under some conditions.
(d) None of these.
(a) It is true because transfer function P(s) is Y(s)/ X(s), where Y(s) and X(s) are the Laplace transforms of the output and input, respectively, and in case of impulse response, X(s) = 1 giving
P(s) = Y(s)