Consider estimating the spectrum of a discrete-time signal x[n] using the DFT with a Hamming window applied to x[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(ejω). 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 = 2ν that will meet your resolution requirement?
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