7 3 Assume that a random process can be described by two equal amplitude sinusoids in unit random variance white noise as defined by the following equation, x n Asin(n1 1) Asin(n 2 2 ) v n Also assume that 1 2 0 02 radians and Fs 1000 Hz What is the minimum value of data length N such that the two sinusoids can be resolved via the nonparametric periodogram spectral estimation method Compute the frequency resolution for this problem

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Question: 7.3. Assume that a random process can be described by two equal amplitude sinusoids in unit random variance white noise as defined by the following

7.3. Assume that a random process can be described by two equal amplitude sinusoids in unit random variance white noise as defined by the following equation, x[n] = Asin(nθ1 +φ1) + Asin(nθ 2 +φ 2 ) + v[n]

Also assume that Δθ = θ1 −θ 2 = 0.02π radians and Fs = 1000 Hz. What is the minimum value of data length N such that the two sinusoids can be resolved via the nonparametric periodogram spectral estimation method?

Compute the frequency resolution for this problem?

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