The convolution of a function with an impulse function delayed to an instant 3 in time results in ____________(a) An advance in the function by 3 units in time(b) The function itself(c) A delay in the function by 3 units in time(d) Cannot be determinedI got this question in final exam.My question is taken from Convolution topic in portion Digital Signal Processing of MATLAB

The convolution of a function with an impulse function delayed to an i

1.	The convolution of a function with an impulse function delayed to an instant 3 in time results in ____________(a) An advance in the function by 3 units in time(b) The function itself(c) A delay in the function by 3 units in time(d) Cannot be determinedI got this question in final exam.My question is taken from Convolution topic in portion Digital Signal Processing of MATLAB
Answer» The correct choice is (c) A delay in the function by 3 units in time To explain I WOULD SAY: The CONVOLUTION of an impulse function with a function results in the function itself. But if the impulse function is delayed, the output will also get delayed by an equal amount. This is because ∫^∞-∞ F(k).δ(t-m-k)dk=f(t-m).

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