1. Using the frequency sampling method, design a linear phase highpass FIR filter with cutoff frequency Ωc = π/3 and Lh = 15. Show an efficient block diagram realization of the filter.
2. Using the frequency sampling method, design a linear phase bandpass FIR filter with cutoff frequencies Ωc1 = π/4, Ωc2 = 5π/8, and Lh = 70.