(Solved) : 3 Problem Consider Signal Made Sum Three Simultaneously Present Sinusoids T N 2m Fit Sin 2 Q37196681 . . .
can someone help me solve this problem by using matlab?
3. For this problem, we consider a signal made of the sum of three simultaneously present sinusoids (t)n(2m fit) sin(2m fat) sin(2mfat) at frequencies of fi = 3 llz, f2 = 7 Hz, and fa = 11 Hz. (a) Plot the signal as a function of time. Label the axis as amplitude and time in seconds. You can pick a range that covers several periods of the sinusoids (b) The signal is to be sampled by a detector. According to the Nyquist Sampling Theorem discussed in class, what is the minimum (lowest) sampling frequency that will allow these I’ from the samples (i.e. from the sampled three sinusoids to be correctly ‘reconstructed signal)? (c) Plot two sinusoids at twice the Nyquist frequency and at half the Nyquist frequency on top of the curve in part (a). Use only two different symbols instead of connected curves in the plot of the two sinusoids. Describe which symbol represents oversampling and undersampling of the signal in part (a). What would happen to the reconstructed result if the sampling frequency is below the Nyquist frequency? (Hint: a similar plot is shown in Lecture 12 slide) Show transcribed image text 3. For this problem, we consider a signal made of the sum of three simultaneously present sinusoids (t)n(2m fit) sin(2m fat) sin(2mfat) at frequencies of fi = 3 llz, f2 = 7 Hz, and fa = 11 Hz. (a) Plot the signal as a function of time. Label the axis as amplitude and time in seconds. You can pick a range that covers several periods of the sinusoids (b) The signal is to be sampled by a detector. According to the Nyquist Sampling Theorem discussed in class, what is the minimum (lowest) sampling frequency that will allow these I’ from the samples (i.e. from the sampled three sinusoids to be correctly ‘reconstructed signal)? (c) Plot two sinusoids at twice the Nyquist frequency and at half the Nyquist frequency on top of the curve in part (a). Use only two different symbols instead of connected curves in the plot of the two sinusoids. Describe which symbol represents oversampling and undersampling of the signal in part (a). What would happen to the reconstructed result if the sampling frequency is below the Nyquist frequency? (Hint: a similar plot is shown in Lecture 12 slide)
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Answer to 3. For this problem, we consider a signal made of the sum of three simultaneously present sinusoids (t)n(2m fit) sin(2m …
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