A tripletone signal contains exactly three frequencies: 300Hz, 1000Hz, and 1200Hz
Question # 00635689
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Updated on: 01/10/2018 05:45 AM Due on: 01/10/2018
A tripletone signal contains exactly three frequencies: 300Hz, 1000Hz, and 1200Hz. The signal is sampled at a rate of fs=4000Hz.
a) What is the smallest number of samples that could be collected in order to know for sure whether or not the 1000Hz component is present? Assume you are using a Rectangular window.
b) What is the minimum order of DFT that you could use to know whether or not all three frequency components are present? Again, assume you are using a Rectangular window.
c) Assume you use an FFT algorithm to compute your DFT. Which FFT coefficients will have the highest values if all three frequency components are present?
a) What is the smallest number of samples that could be collected in order to know for sure whether or not the 1000Hz component is present? Assume you are using a Rectangular window.
b) What is the minimum order of DFT that you could use to know whether or not all three frequency components are present? Again, assume you are using a Rectangular window.
c) Assume you use an FFT algorithm to compute your DFT. Which FFT coefficients will have the highest values if all three frequency components are present?

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Solution: A tripletone signal contains exactly three frequencies: 300Hz, 1000Hz, and 1200Hz