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28 Nov 2020
Problem 1 : (50 points)
Considering the following continuous real signal x(t), 8 samples from the signal x(t) are
collected to form the discrete signal x[n]. The sampling rate of x(t) is 2400 samples per
second.
1. Calculate the DFT X[m] of x[n] for 0 ≤ m < 4 where X[2] corresponds to the
spectrum of x(t) at the frequency 1.2KHz.
2. Calculate the DFT X[m] of x[n] for 0 ≤ m < 6 where X[2] corresponds to the
spectrum of x(t) at the frequency 0.8KHz.
3. Calculate the DFT X[m] of x[n] for 0 ≤ m < 8 where X[2] corresponds to the
spectrum of x(t) at the frequency 0.6KHz.
Recalculate the coe cients x[n] in the three cases. Interpret your result.
If you want to save the DFT coe cients, how many coe cients would you choose. Which
ones ?
Problem 1 : (50 points)
Considering the following continuous real signal x(t), 8 samples from the signal x(t) are
collected to form the discrete signal x[n]. The sampling rate of x(t) is 2400 samples per
second.
1. Calculate the DFT X[m] of x[n] for 0 ≤ m < 4 where X[2] corresponds to the
spectrum of x(t) at the frequency 1.2KHz.
2. Calculate the DFT X[m] of x[n] for 0 ≤ m < 6 where X[2] corresponds to the
spectrum of x(t) at the frequency 0.8KHz.
3. Calculate the DFT X[m] of x[n] for 0 ≤ m < 8 where X[2] corresponds to the
spectrum of x(t) at the frequency 0.6KHz.
Recalculate the coe cients x[n] in the three cases. Interpret your result.
If you want to save the DFT coe cients, how many coe cients would you choose. Which
ones ?
sonurana4949Lv3
5 Apr 2023