Periodic signals
The Fourier transform
Applications of the Fourier transform
Two signals with different frequecies
How can we find out the original frequencies?
Mathematical tool able to decompose the signal in its original frequencies
Plotting the result of the integral as we change the frequency
Sum of two frequencies
Decaying signal with frequency 3Hz
The Fourier transform is a mathematical tool
Takes a signal as input
Gives us the frequencies is made of as output
Sound is change in air pressure
The A (La) note is a sine wave with frequency 440Hz
Talking or music is a sum of many different frequencies in the audible spectrum (20Hz - 20000Hz)
We can perform a Fourier transform on them!