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1) Determine the autocorrelation function RXX(T) for the continuous-time random process X(t) that has the power spectrum (show all steps for your derivation)
where K > 0 is a real constant and WX is the spectral extent of the process.
2) Write a Matlab code to produce the estimated power spectrum from the autocorrelation function obtained in step (1) for N=5 normalized frequencies. Note: You may use the FFT function to calculate the Fourier transform. See Example 7.5-5
3) Plot on the same figure the estimated power spectrum on top of the given power spectrum
4) Repeat steps (2) and (3) for N=10 normalized frequencies.
5) Plot on the same figure the estimated power spectrum of step (4) on top of the given power spectrum
6) Compare your results
The slopes in the direction field are all identical along horizontal lines and new solutions can be generated from old ones by time shifting (i.e., replacing y(t) with y(t - t0).
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An area is calculated by multiplying the length by the width. The pseudocode program below should ask the user for the length and width of a rectangular room in order to calculate the area, and display the room's area. Will it do the job.
Question 3: The null hypothesis for the test of independence states that no correlation exists between the variables.
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