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A triple-tone 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?

 

Electrical & Electronics, Engineering

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