Question

1. Consider a rectangular pulse with amplitude A (volts) and duration T (seconds) given by $x(t) = \begin{cases} A & \text{for } 0 \le t \le T \\ 0 & \text{else} \end{cases}$. x(t) A 0 T a. Find an equation for the signal energy $E_x$. b. How does doubling the amplitude A affect the value of the signal energy $E_x$? c. How does doubling the duration T affect the value of the signal energy $E_x$? d. Assuming that A and T are finite values, is x(t) an energy signal? e. Assuming that A and T are finite values, is x(t) a power signal? 2. For each of the following voltage signals, find the D.C. value, the average signal power $P_x$, and the RMS value for each of the following signals. Also list the units. a. x(t) = 4 b. x(t) = 4cos(2?100t) c. x(t) = [cos(2?100t)]$^2$ d. The periodic square wave x(t) shown below where A = 4 and the period T = 1 µS. x(t) A -T T -A

          1. Consider a rectangular pulse with amplitude A (volts) and duration T (seconds)
given by $x(t) = \begin{cases} A & \text{for } 0 \le t \le T \\ 0 & \text{else} \end{cases}$.
x(t)
A
0
T
a. Find an equation for the signal energy $E_x$.
b. How does doubling the amplitude A affect the value of the signal energy
$E_x$?
c. How does doubling the duration T affect the value of the signal energy $E_x$?
d. Assuming that A and T are finite values, is x(t) an energy signal?
e. Assuming that A and T are finite values, is x(t) a power signal?
2. For each of the following voltage signals, find the D.C. value, the average signal
power $P_x$, and the RMS value for each of the following signals. Also list the
units.
a. x(t) = 4
b. x(t) = 4cos(2?100t)
c. x(t) = [cos(2?100t)]$^2$
d. The periodic square wave x(t) shown below where A = 4 and the period
T = 1 µS.
x(t)
A
-T
T
-A

1. Consider a rectangular pulse with amplitude A (volts) and duration T (seconds)
given by x(t) = A for 0 ≤ t ≤ T
0 else.
x(t)
A
0
T
a. Find an equation for the signal energy Ex.
b. How does doubling the amplitude A affect the value of the signal energy
Ex?
c. How does doubling the duration T affect the value of the signal energy Ex?
d. Assuming that A and T are finite values, is x(t) an energy signal?
e. Assuming that A and T are finite values, is x(t) a power signal?
2. For each of the following voltage signals, find the D.C. value, the average signal
power Px, and the RMS value for each of the following signals. Also list the
units.
a. x(t) = 4
b. x(t) = 4cos(2?100t)
c. x(t) = [cos(2?100t)]^2
d. The periodic square wave x(t) shown below where A = 4 and the period
T = 1 µS.
x(t)
A
-T
T
-A

Added by Ronald G.

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