Ee351- find whether each of the following sequences is

Question

1. For each of the following discrete systems, determine whether they are

- Linear
- Shift-Invariant
- Causal
- Memoryless
- Stable

Clearly show your work.

a) y(n) = nx(n)
b) y(n) = x(2-n)
c) y(n) = x(n)u(n)
d) y(n) = x(n)x(n-1)

2. Find whether each of the following sequences is periodic or not. If periodic what is the period, if not why not.

a. x(n) = e^j7πn/9
b. x(n) = cos(6πn/9)
c. x(n) = sin (7n/9)