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Mathematics, 21.09.2019 01:30 krojas015
Question 2 - signal and system properties. state whether each of the statements is true or false. note that a statement is true if it is always true, without further qualifications. if the statement is false, produce a counterexample to it. (a) if a continuous-time signal is periodic with period t (where t > 0), then it is also periodic with period 2t. (b) let y(t) be the output of a continuous-time linear system for the input x(t). then the output of the system for the input 2x(t) is 2y(t). (c) let y(t) be the output of a continuous-time linear system for the input x(t). then the output of the system for the input x(t + 1) is y(t + 1). (d) if the input x(t) of a stable continuous-time linear system satisfied |x(t)| < 1 for all t, then the output y(t) satisfies |y(t)| < 1 for all t.
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