Question

Which of the following gives the complete definition of the state of a system at time n0?

(a) Amount of information at n0 determines output signal for n≥n0

(b) Input signal x(n) for n≥n0 determines output signal for n≥n0

(c) Input signal x(n) for n≥0 determines output signal for n≥n0

(d) Amount of information at n0+input signal x(n) for n≥n0 determines output signal for n≥n0

The question was asked during an interview for a job.

The doubt is from State-Space System Analysis and Structures in portion Discrete Time Systems Implementation of Digital Signal Processing

Answer 1

Right answer is (d) Amount of information at n0+input signal x(n) for n≥n0 determines output signal for n≥n0

Best explanation: We define the state of a system at time n0 as the amount of information that must be provided at time n0, which, together with the input signal x(n) for n≥n0 determines output signal for n≥n0.