DISCRETE FOURIER TRANSFORM
Discrete Fourier Transform, transforms one function into another which is called the frequency domain repreransentation. In this experiment, we found Discrete Fourier Transform of the input signal and then verified it by mathematical formulae. Then we plotted the magnitude spectrum of the output signal and analysed the results. We found that as N(length of the signal) increases,frequency spacing reduces, approximate error reduces and resolution of the spectra increases. DFT is used to convert signals from Time Domain to Frequency Domain.
Effect of length on spectra is mentioned which is good
ReplyDelete😃
DeleteVery informative and well written.
ReplyDeleteDFT has more computations which makes it slower than FFT
ReplyDeleteAs the length of the signal increases the resolution increases because basically we are taking more samples.
ReplyDeleteYes exactly
DeleteYes therefore we use FFT for fast computations
ReplyDeleteThe magnitude spectrum is periodic due to the characteristic of twiddle factor
ReplyDelete