Week 2 Assignment - Discrete-time Signals & Systems

Week 2 

Assignment 1: Discrete-time Signals & Systems

Note: You may use Matlab to solve the problems where necessary

All questions carry equal points

1. Is the sequence, absolutely summable?

2. Find the fundamental period of the sequence x[n] = cos(0.125nπ).

3. If x[n], y[n], and g[n] represent three finite-length sequences of lengths N, M, and L, respectively, with the first sample of each sequence occurring at n = 0, what is the length of the sequence ?

4. Evaluate the linear convolution of x[n] with itself, where x[n] = {1, 1}, 0 ≤ n ≤ 1.

5. Determine if the system described by y[n] = x[n+1] + x[n] + x[n-1] + x[n-2] is causal.

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