1.

The formula y(n)=\(\sum_{k=-\infty}^{\infty}x(k)h(n-k)\) that gives the response y(n) of the LTI system as the function of the input signal x(n) and the unit sample response h(n) is known as ______________(a) Convolution sum(b) Convolution product(c) Convolution Difference(d) None of the mentionedThe question was posed to me in an interview for job.I would like to ask this question from Analysis of Discrete time LTI Systems in portion Discrete Time Signals and Systems of Digital Signal Processing

Answer»

The correct answer is (a) CONVOLUTION sum

Easiest EXPLANATION: The input X(n) is CONVOLUTED with the impulse response h(n) to yield the OUTPUT y(n). As we are summing the different values, we call it as Convolution sum.



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