1. Two signals, x, (t) and x(t), are defined as follows, 1 x (t) = 2...

Transcribed Image Text:

1. Two signals, x, (t) and x₂(t), are defined as follows, 1 x₁ (t) = 2 0 x₁ (t) 2 and are shown in Figure 1. Perform the convolution y(t) = x₁(t)*x₂(t). Plot the result y(t) in the time domain and, using MATLAB, in the frequency domain (F{y(t)}) (both magnitude & phase plots). 1.5 1 0.5 0 0 t -1≤t≤0 0≤t≤1 elsewhere 1 2 (1) ²x x₂ (t) = 1 2 1.5 1 0.5 0 -3 2 -2 ≤t≤1 1≤t≤2 0 elsewhere -2 Figure 1: x1(t) and x2(t) for Problem 1. -1 0 t 1 2 3 1. Two signals, x, (t) and x₂(t), are defined as follows, 1 x₁ (t) = 2 0 x₁ (t) 2 and are shown in Figure 1. Perform the convolution y(t) = x₁(t)*x₂(t). Plot the result y(t) in the time domain and, using MATLAB, in the frequency domain (F{y(t)}) (both magnitude & phase plots). 1.5 1 0.5 0 0 t -1≤t≤0 0≤t≤1 elsewhere 1 2 (1) ²x x₂ (t) = 1 2 1.5 1 0.5 0 -3 2 -2 ≤t≤1 1≤t≤2 0 elsewhere -2 Figure 1: x1(t) and x2(t) for Problem 1. -1 0 t 1 2 3