Problem 4. (Plotting complex-valued signals) When we are dealing with complex-valued signals, we cannot plot them in (regular) two-dimensional plots. There are two ways of imagining/plotting those signals on the plain that will be explained in this exercise for the complex-valued signal x(t) = test. Remember that, we use Re[z] for the real part, Im[z] for the imaginary part, |2| for the magnitude, and Zz for the angle (phase) of the complex number z, respectively. a. Method 1: Plotting real part and imaginary part: Find the expressions for the signals x,(t) = Re[x(t)] and x¿(t) = Im[x(t)]. Note that each of these expressions will depend on the time variable t and each of these signals will be a real-valued signal. Plot x, (t) and x(t) separately (as a function of t). r b. Method 2: Plotting magnitude and angle: Find the expressions for the signals xm(t) = |x(t)| and xa(t) = Zx(t) (you don't need to find a close expression for xa(t)). Again each of these. expressions will depend on the time variable t and each of these signals will be a real-valued signal. Plot xm(t) and xa(t) separately (as a function of t). Plot results in Matlab.
Problem 4. (Plotting complex-valued signals) When we are dealing with complex-valued signals, we cannot plot them in (regular) two-dimensional plots. There are two ways of imagining/plotting those signals on the plain that will be explained in this exercise for the complex-valued signal x(t) = test. Remember that, we use Re[z] for the real part, Im[z] for the imaginary part, |2| for the magnitude, and Zz for the angle (phase) of the complex number z, respectively. a. Method 1: Plotting real part and imaginary part: Find the expressions for the signals x,(t) = Re[x(t)] and x¿(t) = Im[x(t)]. Note that each of these expressions will depend on the time variable t and each of these signals will be a real-valued signal. Plot x, (t) and x(t) separately (as a function of t). r b. Method 2: Plotting magnitude and angle: Find the expressions for the signals xm(t) = |x(t)| and xa(t) = Zx(t) (you don't need to find a close expression for xa(t)). Again each of these. expressions will depend on the time variable t and each of these signals will be a real-valued signal. Plot xm(t) and xa(t) separately (as a function of t). Plot results in Matlab.
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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![Problem 4. (Plotting complex-valued signals) When we are dealing with complex-valued signals, we
cannot plot them in (regular) two-dimensional plots. There are two ways of imagining/plotting those
signals on the plain that will be explained in this exercise for the complex-valued signal x(t) = test.
Remember that, we use Re[z] for the real part, Im[z] for the imaginary part, |2| for the magnitude, and
Zz for the angle (phase) of the complex number z, respectively.
a. Method 1: Plotting real part and imaginary part: Find the expressions for the signals x,(t) =
Re[x(t)] and x¿(t) = Im[x(t)]. Note that each of these expressions will depend on the time variable
t and each of these signals will be a real-valued signal. Plot x, (t) and x(t) separately (as a function
of t).
r
b. Method 2: Plotting magnitude and angle: Find the expressions for the signals xm(t) = |x(t)|
and xa(t) = Zx(t) (you don't need to find a close expression for xa(t)). Again each of these.
expressions will depend on the time variable t and each of these signals will be a real-valued
signal. Plot xm(t) and xa(t) separately (as a function of t).
Plot results in Matlab.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Feaf923b1-621b-4242-8f85-61b87d833819%2F45e1680a-81b0-4444-b7d4-b920d128b6ec%2Fiw4pw1g_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problem 4. (Plotting complex-valued signals) When we are dealing with complex-valued signals, we
cannot plot them in (regular) two-dimensional plots. There are two ways of imagining/plotting those
signals on the plain that will be explained in this exercise for the complex-valued signal x(t) = test.
Remember that, we use Re[z] for the real part, Im[z] for the imaginary part, |2| for the magnitude, and
Zz for the angle (phase) of the complex number z, respectively.
a. Method 1: Plotting real part and imaginary part: Find the expressions for the signals x,(t) =
Re[x(t)] and x¿(t) = Im[x(t)]. Note that each of these expressions will depend on the time variable
t and each of these signals will be a real-valued signal. Plot x, (t) and x(t) separately (as a function
of t).
r
b. Method 2: Plotting magnitude and angle: Find the expressions for the signals xm(t) = |x(t)|
and xa(t) = Zx(t) (you don't need to find a close expression for xa(t)). Again each of these.
expressions will depend on the time variable t and each of these signals will be a real-valued
signal. Plot xm(t) and xa(t) separately (as a function of t).
Plot results in Matlab.
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