Design a BPF using Hanning window with M-7. Given that lower cutoff frequency e1 = 2rad/sec and 02 - 3rad/sec. a) Find the closed form of he[n]. b) Find closed form of the impulse response h[n] and the values of all filter coefficients. c) Find H[z] d) Find H[Q]. e) Use Matlab and your findings in parts (a) through (d) to prove that your filter works. This means you should apply an input within the passband and stopband and show what output is being produced. Design a BPF using Hanning window with M-7. Given that lower cutoff frequency e1 = 2rad/sec and 02 - 3rad/sec. a) Find the closed form of he[n]. b) Find closed form of the impulse response h[n] and the values of all filter coefficients. c) Find H[z] d) Find H[Q]. e) Use Matlab and your findings in parts (a) through (d) to prove that your filter works. This means you should apply an input within the passband and stopband and show what output is being produced