Question

The response of any discrete time system can be decomposed as _____________

(a) Total Response=Impulse+step

(b) Total Response=Impulse+Ramp

(c) Total Response=zero-output response

(d) Total Response=zero-state response+zero-input response

The question was asked in an international level competition.

I want to ask this question from Discrete-Time Systems in the Time-Domain topic in section Signals and Systems Basics of Signals and Systems

Answer 1

Right option is (d) Total Response=zero-state response+zero-input response

The best explanation: There are two approaches to analyzing response of a system:

 Direct solution of difference solution

 Decomposing in terms of impulse signals

In the first method, the response of the system can be decomposed as:

Total Response = zero-state response + zero-input response.