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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≥n0The 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» 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.


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