|
Date
|
Topics
|
Keywords
|
Textbook
Pages
|
Quiz
|
HW/
Projects
|
|
Jan 16
|
introduction and motivation;
applications of digital signal processing
|
analog; digital
|
1-6
|
|
|
|
Jan 18
|
sampling; A/D conversion
|
Nyquist rate; sampling frequency
|
7-33
|
Quiz1
|
HW1
|
|
Jan 21
|
quantization; classification of discrete-
time signals
|
quantization noise; unit impulse/unit step/exponentional signal;
energy/power/periodic signal; even/odd signal
|
43-52
|
Quiz2
|
|
|
Jan 23
|
discrete-time systems
|
static/dynamic system; time variant/time invariant system; linear/nonlinear
system; causal/noncausal system; stability;
linear convolution
|
56-90
|
Quiz3
|
|
|
Jan 25
|
difference equations
|
FIR; IIR; homogeneous and particular solutions; characteristic
polynomial
|
91-105;
111-118
|
Quiz4
|
HW2
|
|
Jan 28
|
difference equations
|
zero-input and zero-state solutions; stability and linearity; region
of convergence (ROC)
|
106-110;
151-153
|
Quiz5
|
|
|
Jan 30
|
z transform; inverse z transform
|
(bilateral) z transform; Cauchy integral theorem
|
154-172;
184-185
|
Quiz6
|
|
|
Feb 1
|
inverse z transform;
rational z transforms
|
Cauchy residue theorem; partial fraction expansion; transfer function;
system function
|
172-174;
181-183;
186-197
|
|
HW3
|
|
Feb 4
|
application of the residue theorem; z transform of even signals
|
|
184-195
|
Quiz7
|
|
|
Feb 6
|
Fourier transforms; relationship between Laplace transform, z-transform,
and Fourier transform
(by Xiaowen Liu)
|
discrete-time Fourier transforms;
frequency response function
|
197-209;
175-181
|
|
|
|
Feb 8
|
(no class)
|
|
|
|
|
|
Feb 11
|
one-sided z-transform;
pole-zero plots
|
proper and improper rational functions
|
197-202
|
|
|
|
Feb 13
|
pole-zero plots; pole-zero cancellation
|
FIR filter
|
208-212
|
Quiz8
Quiz9
Quiz10
|
|
|
Feb 15
|
signal flow graphs
|
source/sink nodes, transmittances, graph determinants; Masons's
rule
|
521-526
|
|
HW4
|
|
Feb 18
|
signal flow graphs; response of an LTI system to an exponential
input
|
transposition; basis functions;
eigenfunction; frequency response function
|
521-526;
230-320
|
Quiz11
|
|
|
Feb 20
|
computation of the frequency response
|
|
321-325
|
Quiz 12
|
|
|
Feb 22
|
discrete Fourier transform (DFT) (introduction)
|
frequency domain sampling,
Nth root of unity
|
394-402
|
Quiz14
|
HW5
|
|
Feb 25
|
DFT as a linear transform;
DFT properties
|
basis vectors, orthonormal matrix;
cyclic (circular) convolution, shift, and reversal
|
409-425
433-440
|
Quiz15
Quiz 17
|
Exam 1
Info
|
|
Feb 27
|
DFT
|
|
425-433
|
Quiz18
Quiz19
|
|
|
Mar 1
|
linear filtering using the DFT
|
overlap-add and overlap-save methods
|
425-433
|
Quiz16
|
|
|
Mar 4
|
Cooley-Tukey FFT
|
Cooley-Tukey FFT, brute-force DFT
|
448-456
|
|
|
|
Mar 6
|
fast cyclic convolution, radix-2 FFT
|
butterfly
|
456-464
|
Quiz20
|
Project 1
Guidelines
|
|
Mar 8
|
frequency analysis
|
window function, main lobe width, side lobe level
|
433-440
|
Quiz21
|
|
|
Mar 22
|
frequency analysis
|
classical (Bartlett, Hann, Hamming, Blackman) and modern (Kaiser
and Dolph) windows
|
624-628
|
Quiz22,
Quiz23
|
|
|
Mar 25
|
introduction to digital filters
|
LP, HP, BP, BS, passband, stopband, transition band, passband ripple,
stopband attenuation
|
330-340
614-620
|
|
|
|
Mar 27
|
linear phase filters
|
continuous-phase representation,
group delay, phase delay
|
|
|
HW6
|
|
Apr 3
|
linear phase filters,
window-based FIR filter design
|
strict/generalized linear phase,
class I, II, III, IV filters
|
620-630
620-623
|
Quiz24
|
|
|
Apr 5
|
FIR filters
|
minimum-phase, maximum-phase, mixed-phase filters
|
359-362
|
Quiz25
|
HW7
Project 2
|
|
Apr 8
|
design by the frequency sampling method;
optimum equiripple FIR filter design
|
frequency-sampling realization;
Remez exchange algorithm; Parks-McClellan algorithm
|
506-510;
630-652
|
Quiz26,
Quiz27
|
|
|
Apr 10
|
|
(second midterm exam)
|
|
|
|
|
Apr 12
|
analog Butterworth filters
|
cut-off frequency
|
681-683
|
|
|
|
Apr 15
|
analog Butterworth filters
|
maximal flatness, asymptotic attenuation
|
|
Quiz28
|
HW8
speech.asc
|
|
Apr 17
|
analog Chebyshev filters of type I and II
|
|
683-698
|
Quiz29
|
|
|
Apr 19
|
Elliptic and Bessel filters
|
|
671-681
|
|
|
|
Apr 22
|
frequency transformations
|
|
|
Quiz30
|
|
|
Apr 24
|
design of discrete-time IIR filters from analog filters
|
impulse invariant transformation, matched-z transformation, bilinear
transformation, prewarping
|
569-587
|
|
|
|
Apr 26
|
IIR filter design example
|
|
|
|
|
|
Apr 29
|
Matlab fdatool
|
|
|
|
TCE
|
May 1
(last class)
|
finite word length and quantization problems
|
relative sensitivity, absolute sensitivity, coupled-form
filter realization, round-off effects, limit cycles
|
569-587
|
|
|