Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
P-2.8 Suppose that MATLAB is used to plot a sinusoidal signal. The following MATLAB code generates the signal and makes the plot. Derive a formula for the signal; then without running the program, draw a sketch of the plot that will be done by MATLAB. dt = 1/1000; tt = -0.15 : dt: 0.15; Fo = 7; zz = 15*exp(j* (2*pi*Fo* (tt + 0.875))); xx = real( zz ); plot ( tt, xx ), grid on title('SECTION xlabel ('TIME of a SINUSOID' ) (s)/ )

P-2.8 Suppose that MATLAB is used to plot a sinusoidal signal. The following MATLAB code generates the signal and makes the plot. Derive a formula for the signal; then without running the program, draw a sketch of the plot that will be done by MATLAB. dt = 1/1000; tt = -0.15 : dt: 0.15; Fo = 7; zz = 15*exp(j* (2*pi*Fo* (tt + 0.875))); xx = real( zz ); plot ( tt, xx ), grid on title('SECTION xlabel ('TIME of a SINUSOID' ) (s)/ )

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Question

Please assist with question P-2.8. With details on how to do it. Thank you.

### Complex Numbers and MATLAB #### P-2.7 Simplify the following expressions: (a) \( 3e^{j\pi/3} + 4e^{-j\pi/6} \) (b) \( (\sqrt{3} - j3)^{10} \) (c) \( (\sqrt{3} - j3)^{-1} \) (d) \( (\sqrt{3} - j3)^{1/3} \) (e) \( \Re \left\{ je^{-j\pi/3} \right\} \) **Instructions**: Give the answers in both Cartesian form (\( x + jy \)) and polar form (\( re^{j\theta} \)). #### P-2.8 MATLAB Plotting a Sinusoidal Signal **Scenario**: Suppose that MATLAB is used to plot a sinusoidal signal. The following MATLAB code generates the signal and makes the plot. Derive a formula for the signal; then without running the program, draw a sketch of the plot that will be done by MATLAB. ```matlab dt = 1/1000; tt = -0.15 : dt : 0.15; Fo = 7; zz = 15*exp(j*(2*pi*Fo*(tt + 0.875))); xx = real( zz ); plot( tt, xx ), grid on title('SECTION of a SINUSOID') xlabel('TIME (s)') ``` **Explanation**: This code snippet generates a section of a sinusoidal wave. Let’s break down the code to derive the formula for the signal and sketch the plot. 1. **Line 1**: ```matlab dt = 1/1000; ``` This sets the time step \( dt \) to 0.001 seconds. 2. **Line 2**: ```matlab tt = -0.15 : dt : 0.15; ``` This creates a time vector \( tt \) from -0.15 to 0.15 seconds in increments of \( dt \). 3. **Line 3**: ```matlab Fo = 7; ``` This sets the frequency \( F_o \) to 7 Hz. 4. **Line 4**: ```matlab zz = 15*exp(j*(2*pi*Fo
Transcribed Image Text:### Complex Numbers and MATLAB #### P-2.7 Simplify the following expressions: (a) \( 3e^{j\pi/3} + 4e^{-j\pi/6} \) (b) \( (\sqrt{3} - j3)^{10} \) (c) \( (\sqrt{3} - j3)^{-1} \) (d) \( (\sqrt{3} - j3)^{1/3} \) (e) \( \Re \left\{ je^{-j\pi/3} \right\} \) **Instructions**: Give the answers in both Cartesian form (\( x + jy \)) and polar form (\( re^{j\theta} \)). #### P-2.8 MATLAB Plotting a Sinusoidal Signal **Scenario**: Suppose that MATLAB is used to plot a sinusoidal signal. The following MATLAB code generates the signal and makes the plot. Derive a formula for the signal; then without running the program, draw a sketch of the plot that will be done by MATLAB. ```matlab dt = 1/1000; tt = -0.15 : dt : 0.15; Fo = 7; zz = 15*exp(j*(2*pi*Fo*(tt + 0.875))); xx = real( zz ); plot( tt, xx ), grid on title('SECTION of a SINUSOID') xlabel('TIME (s)') ``` **Explanation**: This code snippet generates a section of a sinusoidal wave. Let’s break down the code to derive the formula for the signal and sketch the plot. 1. **Line 1**: ```matlab dt = 1/1000; ``` This sets the time step \( dt \) to 0.001 seconds. 2. **Line 2**: ```matlab tt = -0.15 : dt : 0.15; ``` This creates a time vector \( tt \) from -0.15 to 0.15 seconds in increments of \( dt \). 3. **Line 3**: ```matlab Fo = 7; ``` This sets the frequency \( F_o \) to 7 Hz. 4. **Line 4**: ```matlab zz = 15*exp(j*(2*pi*Fo
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS