EE103L Visualizing signal in Matlab Assignment 2
Hello, dear friend, you can consult us at any time if you have any questions, add WeChat: daixieit
EE103L
Visualizing signal in Matlab
Assignment 2
1. For the following function:
g(t) = 3π sin (8πt + 1 .3) cos (4πt − 0 .8)esin (12πt)
create an m-file that plots the function within the window t ∈ [−1, 1] in a 3-by- 1 subplot with steps of t equal to 0 . 1, 0 .01, and 0.001. What is the period of this signal?
2. For the following function
⎧ − 2 t + 10,
create an m-file that plots the function x(t) within the window t ∈ [−10, 15] . Also create a separate figure that has 4 sublpots in 2-by-2 arrangement with the following signals:
(a) x(t+2)
(b) x(t-3)
(c) x(-t)
(d) -3x(-t+4)
3. Consider the signal x(t) = te− 0 .15t, − 20 ≤ t ≤ 20 . Plot
(a) The signal x(t)
(b) The even decomposition xe (t) of x(t)
(c) The odd decomposition xo (t) of x(t)
(d) The signal y(t)=xe (t)+xo (t)
4. For the signal g(x) in problem 1, calculate the energy of the signal in the window t ∈ [0 .25, 0 .75]. Also calculate the power of the signal.
5. Suppose Ndifferent musicians in an orchestra are trying to play a pure tone, a sinusoid of frequency 160 Hz . Assume the Nplayers while trying to play the pure tone (160 Hz) end up playing tones separated by Δ Hz, so the overall sound they produced is:
y(t) = 10 cos (2πfit)
where the fi are the frequencies from 159 to 161 Hz. Generate the signal y( t), 0 ≤ t ≤ 200 sec considering that each musician is playing a unique frequency . First
assume the number of musicians to be N = 51 with Δ= 0.04 Hz, and then N=101
with Δ= 0.02 Hz. Plot y( t) for the two cases on the same figure .
2022-04-19