Consider estimating the spectrum of a discrete time signal x n using the DFT with a Hamming window for w n A conservative rule of thumb for the frequency resolution of windowed DFT analysis is that the frequency resolution is equal to the width of the main lobe of W(e j ) You wish to be able to resolve sinusoidal signals that are separated by as little as 100 in In addition, your window length L is constrained to be a power of 2 What is the minimum length L 2 v that will meet your resolution requirement

Question: Consider estimating the spectrum of a discrete-time signal x[n] using the DFT with a Hamming window for w[n]. A conservative rule of thumb for the

Consider estimating the spectrum of a discrete-time signal x[n] using the DFT with a Hamming window for w[n]. A conservative rule of thumb for the frequency resolution of windowed DFT analysis is that the frequency resolution is equal to the width of the main lobe of W(e^jω). You wish to be able to resolve sinusoidal signals that are separated by as little as π/100 in ω. In addition, your window length L is constrained to be a power of 2. What is the minimum length L = 2^v that will meet your resolution requirement?

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