In: Electrical Engineering
Typed please. You are working for a company that has developed a new speaker that is supposed to reproduce any and all signals in the frequency range of 20 Hz to 20 kHz with a flat frequency response. You have been selected to test the speaker in order to verify the operation. You are supplied with a microphone that has a flat response, a perfect power amplifier, a white noise generator, and an anechoic chamber. How do you utilize Fourier transforms to test the speaker?
Okay see the concept is simple firstly your are given with the frequecy range of the signals which must be reproduced. So your band is 20Hz to 20KHZ.
Now you have time domain signals but our concern is frequency so here is where the Fourier transform comes into play. Using a software you can convert the time domain signals to frequecy domain using the Fourier transform and ya you must make sure both the microphone and the power amplifiers operations region has 20hz to 20khz in it . And again the Fourier transform of white noise is also calculated in order to see the magnitude response . Your signal must not get completely deteriorated by the noise.
So fianlly in short we can say using Fourier transform find the response of the power amplifier and the microphone. Then generate the signals of your requirement and analyse the output using its Fourier transform and do the required troubleshooting if desired results dont come .