Consider the low pass filters
y(n) = ay(n – 1) + bx(n) 0 < a < 1
(a) Determine b so that |H(0)| = 1.
(b) Determine the 3-dB bandwidth ω3 for the normalized filter in part (a).
(c) How does the choice of the parameter a affect ω3?
(d) Repeat parts (a) through (c) for the high pas filter obtained by choosing -1 < a < 0.