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Consider a discrete-time system that is characterized by the following difference equation:
Y(n) = x(n)cos?0n,
where ?0 is constant value, x(n)are the discrete-time input data of the system, y(n)are the discrete-time output data of the system.
Is the discrete-time system governed by the given difference equation:
(a) static or dynamic?
(b) time-invariant or time-variant?
(c) linear or nonlinear?
(d) causal or noncausal?
(e) stable or unstable?
Explain your answers for all questions and prove your conclusions analytically for questions b,c and d.
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Find the greatest number of 6 digits exactly divisible by 24, 15 and 36. (Ans:999720) Ans: LCM of 24, 15, 36 LCM = 3 × 2 × 2 × 2 × 3 × 5 = 360 Now, the greatest six digit
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