For each of the following systems, determine whether they are static or dynamic linear or non-linear...
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For each of the following systems, determine whether they are static or dynamic linear or non-linear ii) v) time-invariant or time-varying causal or non-causal Stable or unstable. Hints: a. if you suspect the system is unstable, find an example of a bounded input signal that produces an unbounded output. b. If you suspect the system is stable, you can try to prove it by using the BIBO stability definition i.e. assume that if |x(n)| < Mx < ∞, for all n, then for a stable system, show that: ly(n) < My < ∞ E.g. For a system: y(n)= x(n) - x(n-1) |y(n)] = |x(n) − x(n − 1)| ≤ |x(n)| + |x(n − 1)| < Mx + Mx = 2Mx = My < 0⁰ Therefore, the system is stable. For each of the following systems, determine whether they are static or dynamic linear or non-linear ii) v) time-invariant or time-varying causal or non-causal Stable or unstable. Hints: a. if you suspect the system is unstable, find an example of a bounded input signal that produces an unbounded output. b. If you suspect the system is stable, you can try to prove it by using the BIBO stability definition i.e. assume that if |x(n)| < Mx < ∞, for all n, then for a stable system, show that: ly(n) < My < ∞ E.g. For a system: y(n)= x(n) - x(n-1) |y(n)] = |x(n) − x(n − 1)| ≤ |x(n)| + |x(n − 1)| < Mx + Mx = 2Mx = My < 0⁰ Therefore, the system is stable.
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To determine the characteristics of the given systems lets go through each criterion i Static or dyn... View the full answer
Related Book For
Principles Of Financial Accounting
ISBN: 9781118757147
1st Canadian Edition
Authors: Jerry J. Weygandt, Michael J. Atkins, Donald E. Kieso, Paul D. Kimmel, Valerie Ann Kinnear, Barbara Trenholm, Joan E. Barlow
Posted Date:
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