5. (5 points) It is known that x(0) is a combination of two harmonic waves and x

Question

5. (5 points) It is known that x(0) is a combination of two harmonic waves and x(t) = 5cos(100m) + 1 5 cos(240 m) . (i) What are the circular and cyclic frequencies of the two frequency components respectively? Plot out the magnitude response of the frequency spectrum of r. () Find the minimum sampling frequency required and the corresponding sampling speed in order to avoid aliasing. (ii) Find the maximum resolution required in order to avoid leaking (iv)What are the minimum number of measurements and the sampling period? lto unts plott fo

Explanation / Answer

iii)maximum resolution required = 1/(frequency difference) = 1/(120-50) = 1/70 = 0.014seconds

iv)Minimum number measurements = blocksize = sampling frequncy * resolution = 240*0.014 = 3.5 samples

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