Question

9 Matlab - Convolution Write a Matlab script file to compute the convolution in Problem 8. Your script file should: (a) plot x(t); (b) plot h(t); and (c) plot y(t) = x(t) * h(t). Note: Use the Matlab function conv to compute a numerical approximation of the convolution integral. 10 Matlab - Component of a Signal Write a Matlab script file to approximate x(t) in terms of y(t) x(t) \approx cy(t), for 0 < t < 1. Your script file should: (a) compute c that minimizes the energy of the error signal e(t) = x(t) - cy(t), for 0 < t < 1; (b) compute the energy of the error e(t), for 0 < t < 1. (c) plot x(t); (d) plot y(t); and (d) plot cy(t). Note: Use Matlab to compute numerical approximations of the integrals in items (a) and (b). 1 x(t) 1 t 1 y(t) sin(\pi t), for 0 < t < 1 t 0 1 Figure 5. Square pulse x(t) and half-cycle sinusoidal pulse y(t).

          9 Matlab - Convolution
Write a Matlab script file to compute the convolution in Problem 8. Your script file should:
(a) plot x(t);
(b) plot h(t); and
(c) plot y(t) = x(t) * h(t).
Note: Use the Matlab function conv to compute a numerical approximation of the convolution integral.
10 Matlab - Component of a Signal
Write a Matlab script file to approximate x(t) in terms of y(t)
x(t) \approx cy(t), for 0 < t < 1.
Your script file should:
(a) compute c that minimizes the energy of the error signal e(t) = x(t) - cy(t), for 0 <
t < 1;
(b) compute the energy of the error e(t), for 0 < t < 1.
(c) plot x(t);
(d) plot y(t); and
(d) plot cy(t).
Note: Use Matlab to compute numerical approximations of the integrals in items (a) and
(b).
1
x(t)
1
t
1
y(t)
sin(\pi t), for 0 < t < 1
t
0
1
Figure 5. Square pulse x(t) and half-cycle sinusoidal pulse y(t).

9 Matlab - Convolution
Write a Matlab script file to compute the convolution in Problem 8. Your script file should:
(a) plot x(t);
(b) plot h(t); and
(c) plot y(t) = x(t) * h(t).
Note: Use the Matlab function conv to compute a numerical approximation of the convolution integral.
10 Matlab - Component of a Signal
Write a Matlab script file to approximate x(t) in terms of y(t)
x(t) ≈cy(t), for 0 < t < 1.
Your script file should:
(a) compute c that minimizes the energy of the error signal e(t) = x(t) - cy(t), for 0 <
t < 1;
(b) compute the energy of the error e(t), for 0 < t < 1.
(c) plot x(t);
(d) plot y(t); and
(d) plot cy(t).
Note: Use Matlab to compute numerical approximations of the integrals in items (a) and
(b).
1
x(t)
1
t
1
y(t)
sin(πt), for 0 < t < 1
t
0
1
Figure 5. Square pulse x(t) and half-cycle sinusoidal pulse y(t).

Added by Nancy G.

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