a) i. Based on Tablle 3.1, state the name of the most appropriate type of filter that

achieves the required stopband rejection. Justify your choice.

ii. Calculate the width of the transition band for the filter type chosen in i.

iii. If a different filter type with a stopband rejection of 90 dB would be used instead,

what is a disadvantage (side effect) of this new filter, still using 23 taps? How can this

disadvantage be partially compensated for? Recalculate the new value(s) of the design

parameter(s) that you have changed.

b) Derive an expression for the nonwindowed filter coefficients, Cn, simplifying your

answer as far as possible.

c)

i. State an appropriate expression for the window function coefficients wn for this filter

type in part a)i). (The expression should contain only n as a parameter.)

ii. Based on this expression, calculate the windowed filter coefficients cn' = Wn Cn for

the following values of n:

(A) n = 0;

(B) n = 2.