![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1264985/image.png)
Plotting complex sinusoid to a cosine wave
45 次查看(过去 30 天)
显示 更早的评论
I have the complex exponential equation (z) and I want to adjust the plot to produce a cosine wave of amplitude of 5.0 that is shifted by 45 degrees. I have attached my code so far below. If someone could direct me to where I should make adjustments to plot a cosine wave with a = 5.0 shifted by 45 degrees that would be greatly appreciated. Thank you.
z = exp(-j*2*pi*t);
clear all; close all;
Tt = 1; % Total time
fs = 500; % Sampling frequncy
t = (0:1/fs:Tt); % Time vector
a = 5.0; % Amplitude
z = exp(-j*2*pi*t); % Complex sinusoid
plot(t,real(z),'k',t,imag(z),':k'); % Plot result
xlabel('Time (sec)', 'FontSize',14);
ylabel('y(t)','FontSize',14);
0 个评论
回答(1 个)
Star Strider
2023-1-15
Add
to the complex argument to shift the complex exponential result by 45° —
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1264985/image.png)
Tt = 1; % Total time
fs = 500; % Sampling frequncy
t = (0:1/fs:Tt); % Time vector
a = 5.0; % Amplitude
z = exp(-1j*(2*pi*t+pi/4)); % Complex sinusoid
plot(t,real(z),'k',t,imag(z),':k'); % Plot result
xlabel('Time (sec)', 'FontSize',14);
ylabel('y(t)','FontSize',14);
.
4 个评论
Star Strider
2023-1-16
Not quite, since it multiplies both the real and imaginary parts of ‘z’ by ‘a’.
To be absolutely rigorous, the real and imaginary parts of ‘a’ need to be multiplied respectively by the real and imaginary parts of ‘z’.
Your Question specified that the cosine (real) part of the complex exponential function was to be multiplied by ‘a’. It just depends on how much detail (and how rigorously) you want to define this.
I leave that to your discretion.
另请参阅
类别
在 Help Center 和 File Exchange 中查找有关 General Applications 的更多信息
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!