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EE 603 Digital Signal Processing and its Applications

Filter Design Assignment: Autumn Semester 2012-2013This is an individualfilter design assignment for each student who has registered for the course.

In the discussion below, the specification of each filter is provided according to its number. Each

student who has registered for the course, for credit or audit, is required to design twoFilters withthe specifications as per the Filter Number M assigned to the student, by the Teaching ssociates

for this course, on the course Moodle webpage. This assignment of numbers M, will be put up onthe course website by !" ugust !"#!.

In the filter design, you are encouraged to partly ma$e use of %&I'() MT'( or any

equivalent open source software as available. *ou are encouraged to contact the &omputer

&entre) the +& 'aboratory in the epartment of Electrical Engineering for more information on

open source softwares available in the Institute. It is not mandatory to use any pac$age, of course-

*ou could write a small & program ) high level language program as well.

For designing the II and FI filters, you are N/T permitted to use 0filter design1 commands

directly. Neither are you permitted to carry out the whole design simply by using a filter designpac$age. *ou may use basic %&I'() MT'( statements relating to matri2 operations,

window function generation, and so on. *ou may write small programs in MT'(. *our final

design submission must be as follows3

4se good quality paper

5rite, on top, your name, roll number and filter number M.

The following data pertinent to each of the two filter designs assigned to you, must be

submitted, in that order.

#. The un6normali7ed discrete time filter specifications3 including whether the passband and

stopband are equiripple or monotonic respectively.

!. The corresponding normali7ed digital filter specifications.8. The corresponding analog filter specifications for the same type of analog filter using the

bilinear transformation.

9. The frequency transformation to be employed with relevant parameters.

:. The frequency transformed lowpass analog filter specifications.

;. The analog lowpass filter transfer function .?. The analog transfer function for the appropriate type of filter.

@. The discrete time filter transfer function.

A. Its reali7ation using irect Form II.

#". Its reali7ation using the lattice structure.

##. n FI Filter Transfer function for reali7ing the same specifications using the Baiser

5indow. *ou may use a MT'( statement for generating the Baiser window

coefficients directly.

s it is tedious to write out coefficients and data by hand each time, you are welcome to attach a

printout of results) data from a computer program) %&I'() MT'( program wherever

appropriate. Furter! "ou must demonstrate te #re$uenc" response o# te #ilter tat "ouave designed in %A&'A() an" oter means* 5e shall also ma$e an arrangement for you to

try out your filter design actually on a hardware6software interface in the laboratories on the

Third Floor, Elect. Engg. ept. Two of the staff members of the epartment have agreed to co6

ordinate this activity. *ou may ta$e their assistance. %ome additional credit will be awarded to

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the student, for demonstrating the response in this environment*The demonstration must be made

to a Teaching ssociate for thiscourse. The evaluation scheme will be displayed on the course

web6page in due course. &e report is due to +e su+mitted at least one wee, prior to te

semester-end eamination in tis course.

&e Filter Speci#ications:

5e wish to build a series of discrete time filters, as described below, to e2tract specific bands of

this analog signal, or to suppress specific parts of the analog signal.

=i> For all filters, the passband N stopband tolerances are ".#: in magnitude. That is,the filter magnitude response =note: ./& magnitude s$uared> must lie between#.#: and ".@: in the passbandC and between " and ".#: in the stopband.

=ii> For bandpass filters, the transition band is # $.

First Filter Speci#ication: n analog signal is bandlimited to 9! $ ", q=8"> !

r=m> m #"q=m>. For e2ample, r=:> :, r=8"> #"

('=m> ! D ".? q=m> D ! r=m>. For e2ample, ('=8"> ! D ".? =!> D ! =#"> !8.9

( ('=m> D :.

Second Filter Speci#ication:n analog signal is bandlimited to 8! $ ", q=8"> !

r=m> m #"q=m>. For e2ample, r=:> :, r=8"> #"

('=m> ! D ".; q=m> D #.: r=m>. For e2ample, ('=8"> ! D ".; =!> D #.: =#"> #@.!

( ('=m> D 8.

4se either (utterwort or e+"sev approimationto design the Filteras appropriate.For the F Filter, use the aiser windowas stated above.

&otal credit #or #ilter design assignment: 40 mar,s 520 percent weigt

5End o# #ilter design assignment