Q. 1 Sketch following signals (sketch only)
a) u(2-t) b) -2u(t+4) c) -3.5 r(t) d) 2r(t+2) e) u(-t)
Q. 2 For the given signal Compute the following signals mathematically using appropriate steps and sketch them also.
a) x(2n) b) x(2n-1) c) x(-n) d) x(n+2) e) y(-n)
f) y(2-2n) g) y(n+4) h) x(2n)+y(n-4) i) x(n-2) δ(n-2)
1. Find whether following systems are dynamic or not:
a. y(n) = x(n-4) b. y(n) = x(2n) c. y(n) = x(n-3) + x(n)
2. Check whether following system are causal or not:
a. y(n) = x(2n) b. y(n) = x(n) + x(n-2) c. y(n) = x(-n) d. y(n) = sin[x(n)]
3. Determine whether following system are time invariant or not:
a. y(n) = x(n) + nx(n-4) b. y(n) = x(n/2)
4. State whether the following system is linear, causal, time invariant and stable or not:
a. y(n) + y(n-1) = x(n) + x(n-2) b. y(n) = -y(n-1) + x(n) + x(n-2)
5. If the system is represented by following equation, Check
a. Is the system linear ? Explain b. Is the system shift invariant? Explain c. Is the sytem causal ? Why or Why not ?