Write Python programs to calculate the coefficients in the discrete Fourier transforms of the following periodic functions sampled at N = 1000 evenly spaced points, and make %3D plots of their amplitudes: a) A single cycle of a square-wave with amplitude 1 b) The sawtooth wave yn = n c) The modulated sine wave yn = sin(rin/N) sin(20rtn/N)

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Computational physics question. Please provide a correct and well explained code. Python
Write Python programs to calculate the coefficients in the discrete Fourier transforms of
the following periodic functions sampled at N = 1000 evenly spaced points, and make
plots of their amplitudes:
a) A single cycle of a square-wave with amplitude 1
b) The sawtooth wave yn = n
c) The modulated sine wave Yn = sin(rın/N) sin(20rtn/N)
Transcribed Image Text:Write Python programs to calculate the coefficients in the discrete Fourier transforms of the following periodic functions sampled at N = 1000 evenly spaced points, and make plots of their amplitudes: a) A single cycle of a square-wave with amplitude 1 b) The sawtooth wave yn = n c) The modulated sine wave Yn = sin(rın/N) sin(20rtn/N)
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