Question

a) Write a MATLAB function that will calculate the discrete Fourier transform (DFT) using the formulas given in Slide 86 of 3) Signal Characteristics: Input: Y = discreteFT (y, N) N = number of data points y = N values of y Output: Y = N values of the discrete Fourier transform of y Write a driver to call your function using the following data: y(t) = 10 sin 2?t, 0 ? t ?1 ?t = 0.125 s, N=8 b) Also calculate the FFT for y using the MATLAB function fft. Note that the fft is a modified from of the DFT, so the data from discreteFT and fft should be the same. c) Also calculate and plot the one-sided power spectrum. Submit a copy of your driver and function; a copy of the output of your DFT and MATLAB's FFT and the plot of the one-sided power spectrum.

          a)
Write a MATLAB function that will calculate the discrete Fourier transform (DFT)
using the formulas given in Slide 86 of 3) Signal Characteristics:
Input:
Y = discreteFT (y, N)
N = number of data points
y = N values of y
Output:
Y = N values of the discrete Fourier transform of y
Write a driver to call your function using the following data:
y(t) = 10 sin 2?t, 0 ? t ?1
?t = 0.125 s, N=8
b)
Also calculate the FFT for y using the MATLAB function fft. Note that the fft is
a modified from of the DFT, so the data from discreteFT and fft should be the same.
c) Also calculate and plot the one-sided power spectrum.
Submit a copy of your driver and function; a copy of the output of your DFT and MATLAB's
FFT and the plot of the one-sided power spectrum.

a)
Write a MATLAB function that will calculate the discrete Fourier transform (DFT)
using the formulas given in Slide 86 of 3) Signal Characteristics:
Input:
Y = discreteFT (y, N)
N = number of data points
y = N values of y
Output:
Y = N values of the discrete Fourier transform of y
Write a driver to call your function using the following data:
y(t) = 10 sin 2?t, 0 ? t ?1
?t = 0.125 s, N=8
b)
Also calculate the FFT for y using the MATLAB function fft. Note that the fft is
a modified from of the DFT, so the data from discreteFT and fft should be the same.
c) Also calculate and plot the one-sided power spectrum.
Submit a copy of your driver and function; a copy of the output of your DFT and MATLAB's
FFT and the plot of the one-sided power spectrum.

Added by Lisa F.

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