Question

1. Suppose x(t) -3u(t+3) - u(t)+ 3H(t-3) - 5H(t-6) a. Sketch x(t). b. For the signal x(t) given, determine and sketch the following signals: ,g(t) x(t-6) g2(t) - x(3t-6) ii. s(t) x(3t-6) +2 c. Create a MATLAB script that uses a function to express x(t), and plots x(t) in the time interval- 5 < t < 8s, using a time increment of At= 0.01s. Next, use the function to graph each of the signals in part b. Plot gl(t) in the time interval 0 < t < 14s, using a time increment of At= 0.01s; plot g2(t) in the time interval 0 < t < 6s, using a time increment of At= 0.01s; and plot gs(t) in the time interval-5 < t < 8s, using a time increment of At-0.01s. Display gı(t), g2(t) and g3(t) on the same figure using the MATLAB subplot function. Divide the figure into a 3 by 1 grid

I need a Matlab code example plz

Answer 1

The function x(4) is as follows ()-3u+3)-)3u-3)-5u(-6) The terms in x() are separately wrtten as follows: ·The first step starts at -3 with magnitude 3 3«(r+3)3. /2-3 At t 0, the step is reduced by one unit. I. 120 0, <0 . At 1-3 , the step is increased by 3 units. 3. 123 0, 1<3 At-6, the step is reduced by 5 units t26 1<6 The graph of x(4) is shown in Figure 1 5, 0, Su(t-6)

x(t) -3 Figure 1: Graph of x(f) Hence, graph of x(4) has been sketched.

The desired function is x(31-6) First, obtain x(t-6) Shift the function x(i) by 6 units towards right. Substitute (-6) for t in equation (1). 3u(t-3)--6+3u-92).. 2) Now, obtain x(3r-6) Scale the function x(-6) by 3 units. Substitute 3 for t in equation (2). (3r-6)-3u(3r-3)-(3-+u(3-9)-Su(3-12) (3) Since (at-)-therefore, equation (3) modifies as follows 12

The terms in equation (4) are separately written as follows: The first step starts at th magnitude 3 3u(-1 At-2, the step is reduced by one unit. 3. 121 l. 122 At -3,the step is increased by 3 units Bu(t-3) At -4, the step is reduced by 5 units. Su(t-4 The graph of x(3r-6) is shown in Figure 2 3. 123 5, 124

x(31-6) Figure 2 : Graph of x(3t- 6) Hence, graph of x(3r-6) has been sketched.

Answer 2

the energy of x(t)=3u(t)_3u(t_4)