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?