DASP :: Assignment 3 2008.09.16.T
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ELE 591/CIS 500 :: Digital Audio Signal Processing :: Assignment 3
OBJECTIVE: Get familiar with Filters used in Audio
Total Points = 60
Due date: 07 Oct 2008 at the start of class OR before
Any form of plagiarism will have serious consequences.
NAME: ___________________________ SU ID: ______________________
Question
Pts
Q1
Define the following terms for filters:
(a) cutoff frequency, fc, (b) center frequency, fo, (c) pass band, (d) stop band,
(e) bandwidth, (f) Q and (g) roll off
7
Q2
Provide a brief description of the following types of filter characteristics:
(a) Low pass, (b) High pass, (c) Band pass, (d) Band stop, (e) Peaking, and
(f) Shelving
6
Q3
Assume there is a digital system with sample rate Fs=44.1 kHz, provide
(i) the difference equations for each of the following filters:
(a) second order low pass filter fc = โd8/2โ kHz,
(b) second order high pass filter fc = โd8/2โ kHz,
(c) second order band pass filter fo = โd7/2โ kHz, Q = โd6/10โ
(d) second order band stop filter fo = โd5/2โ kHz, Q = โd4โ
(e) peaking filter fo = โd3/2โ kHz, Q = 1, Gain = โ+3+(d2/2)โ dB
(f) peaking filter fo = โd3/2โ kHz, Q = 1, Gain = โ-3-(d2/2)โ dB
(g) low pass shelving filter fc = โd1โ kHz, Gain = โ-3-(d0/2)โ dB
(h) high pass shelving filter fc = โd1โ kHz, Gain = โ+3+(d0/2)โ dB
(ii) verify the frequency response of each of the filters in (i) using
MATLAB [plot dB versus log of frequency; see example 9.4 in the
MATLAB tutorial on the class web site]
(iii) what would you expect to hear in each case above if you were to
process audio signals using the filters described?
You may consider your SU ID to consist of the digits:
[d8 d7 d6 d5 d4 d3 d2 d1 d0].
If any of these digits is a zero, please use the value of ten instead.
47
TOTAL =
60
