It is desired to estimate the spectrum of x[n] by applying a 512-point Kaiser window to the signal before computing X(e^jω).

(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 components 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.