Howtosignalprocessing
- What is the Fourier transform of a square wave?
- How do you find the Fourier series of a square wave in MATLAB?
- How do you represent a square wave in MATLAB?
What is the Fourier transform of a square wave?
Example: Fourier Transform of Square Wave
n, below (in this case the coefficients are all real numbers - in the general case they would be complex). Using the result derived previously, the Fourier Transform of the function is. XT(ω)=+∞∑n=−∞cn2πδ(ω−nω0)=2π+∞∑n=−∞0.8sinc(0.8n)δ(ω−nω0)=1.6π+∞∑n=−∞sinc(0.8n)δ(ω−nω0)
How do you find the Fourier series of a square wave in MATLAB?
A MATLAB code is used to plot the square wave function along with the Fourier sine series in order to compare the accuracy and error between the approximation and the actual function. sum = sum + 4/pi*sin(j*pi*x)/j; end plot(x, sum, 'r') hold on plot(x,f,'LineWidth',2) hold on error = abs(sum-F) Plot(x, error);
How do you represent a square wave in MATLAB?
Description. x = square( t ) generates a square wave with period 2π for the elements of the time array t . square is similar to the sine function but creates a square wave with values of –1 and 1. x = square( t , duty ) generates a square wave with specified duty cycle duty .
