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1) An analog signal x(t) = cos(320rt) + 2 cos(480nt) – cos(960rt ) is sampled with sampling frequency of 640 samples per second. a. Find the Nyquist frequency and Nyquist rate in Hz. b. Draw the Continuous Fourier Transform of x(t)

1) An analog signal x(t) = cos(320rt) + 2 cos(480nt) – cos(960rt ) is sampled with sampling frequency of 640 samples per second. a. Find the Nyquist frequency and Nyquist rate in Hz. b. Draw the Continuous Fourier Transform of x(t)

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1) An analog signal x(t) = cos(320nt) + 2 cos(480t) – cos(960rt ) is sampled with sampling frequency of 640 samples per second. a. Find the Nyquist frequency and Nyquist rate in Hz. b. Draw the Continuous Fourier Transform of x(t) c. Find the sampled discrete signal x[n] d. Draw the DTFT of x[n]. Find the frequencies present in the discrete signal and explain your observations
Transcribed Image Text:1) An analog signal x(t) = cos(320nt) + 2 cos(480t) – cos(960rt ) is sampled with sampling frequency of 640 samples per second. a. Find the Nyquist frequency and Nyquist rate in Hz. b. Draw the Continuous Fourier Transform of x(t) c. Find the sampled discrete signal x[n] d. Draw the DTFT of x[n]. Find the frequencies present in the discrete signal and explain your observations
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