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If the output of the system is \(y(n)=\sum_{k=-\infty}^nx(y)\) with an input of x(n) then the system will work as ___________(a) Accumulator(b) Adder(c) Subtractor(d) MultiplierThis question was posed to me during an internship interview.Enquiry is from Discrete Time Systems topic in portion Discrete Time Signals and Systems of Digital Signal Processing

Answer»

The CORRECT OPTION is (a) Accumulator

For explanation I would say: From the equation given, y(n)=x(n)+x(n-1)+x(n-2)+…. .This system calculates the RUNNING sum of all the past input values TILL the present time. So, it acts as an accumulator.



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