It is desired to estimate the spectrum of x[n] by applying a 512-point Kaiser window to the signal before computing X(ejω).
(a) The requirements for the frequency resolution of the system specify that the largest allowable main lobe for the Kaiser window is π/100. What is the best side-lobe attenuation expected under these constraints?
(b) Suppose that you know that x[n] contains two sinusoidal components at least π/50 apart, and that the amplitude of the stronger component is 1. Based on your answer to part (a), give a threshold on the smallest value of the weaker component you would expect to see over the side lobe of the stronger sinusoid.
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