Using the zero-placement method, design the FIR filters for
the multirate system in Multirate Filtering: Introduction.
Recall that the

Use this relation to design a low-pass filter
(for the anti-aliasing and anti-imaging filters of the multirate
system) by placing twelve
complex zeros on the unit circle at

Design your filters by writing a MATLAB script to compute the
filter coefficients from the given zero locations. The MATLAB
function `poly`

is very useful for this; type
`help poly`

in MATLAB for details.

Once you have determined the coefficients of the filters, use
MATLAB function `freqz`

to plot the frequency
responses. You will find that the frequency response of these
filters has a large gain. Adjust the resulting filter
coefficients to ensure that the largest frequency gain is less
than or equal to one by dividing the coefficients by an
appropriate value. Do the frequency responses match your
expectations based on the locations of the zeros in the
z-plane?

Comments:"Doug course at UIUC using the TI C54x DSP has been adopted by many EE, CE and CS depts Worldwide "