ECE 251D: Homework #1 Solutions
Problem 2.4.1
(a) The beam pattern for a 21-element ULA steered in the T direction is given by
B (, T ) = w(T )H v()
1
=
v(T )H v()
N
d
1 sin[ N
(cos cos T )]
=
N sin
13.8,13.9
Received April 1968
15
Deep-Sea Ambient-Noise Statistics*
T. AR.\SI,: \.Xl ELtZAB],Yr[ M. hle.\,E
Iludson l.abnrah*rie. (blumbla ! 'niversily,Dobbs
of
Frrry, .Yea,York 10522
The statistics a
Some statistical properties of lake surface reverberation
Marshall
E. Frazer
Applied
Research
Lboratorie [lniversitp Texas Austin,
The
of
at
Austin,
Texas
78712
(Received March 1978)
27
This report de
[email protected]
Sat, Jan 31 1:16 PM
to [email protected]
cc Guanwen Yao
Subject: ECE 251A / SIO 207B - Mid-Term Project Notes
ECE 251A / SIO 207B Class:
Appended below are a few clarifying notes a
Mid-Term Project
Note: You should treat this project as a take-home exam. Thus, you should neither give nor receive
assistance on completing the project. See the Academic Integrity document on TED
(Mi
The Application of
Generalized Linearity to
Automatic Gain Control
THOMAS G. STOCKHAM, JR., menace, IEEE
Abstract—The important concept of a linear system has been
generalized to include situations in
Multipath Propagation
I.
Analytic
Look over the solution to Problem #8.64 in [1].
II.
Numerical
Fix n0 = 4 and use the same vertical axis dynamic range on all FFT plots since the desire is to
compare
Single Sideband Generation
A. Implement the block diagram shown below (Figure 11.11a in [1]) and demonstrate the successful
generation of both upper and lower single sideband signals.
B. Let xr(n) be
Discrete Random Sequences
I.
Random Numbers
A. Generate 1024-point sequences of independent random variables which have the following
probability density functions:
1. Uniform (distributed on [0,1]).
Spectral Averaging
The purpose of the following assignment is to investigate the effect of segmenting a time
series on estimation of the power spectrum.
Generate a 1024-point time series consisting of
Transfer Function and Coherence Function Estimation
Implement the following measurement model:
low pass
filter
h(n)
w1(n)
y(n)
+
r(n)
w2(n)
where: wl(n) is a Gaussian random sequence with mean = 0 and
Critical Values for the Two-sample Kolmogorov-Smirnov test (2-sided)
Table gives critical D-values for = 0.05 (upper value) and = 0.01 (lower value) for
various sample sizes. * means you cannot reject
Homework Reports Grading / Expectations
Numerical grades are given on a 0-100 scale. The interpretation is 90-100 is equal to an "A", 8090 is a "B", etc.
My expectations for the homework are the follo
ECE 251D: Homework #3
1. 3.7.2
2. 3.10.1, Parts a and c
3. Consider a 32 element ULA with six plane waves impinging on the array. The snapshot vector is
given by
Y[n] =
6
X
sl [n]V(l ) + W[n], n = 1,
ECE251D: Homework #5 Solutions
Problem 4.2.1
Consider an 8-element circular array with equal spacing between elements. It could also be viewed
as two 4-element rectangular arrays with the rst array or
ECE251DN: Homework #4 Solutions
Problem 4.1.5
(a) 0 = 0
Beam Pattern: The Kaiser window can be computed by
s
2
2n N 1
N 1
Wkaiser [n] = I0 1
,
n
N
2
2
Where = 6, N = 11.
For a broadside array, the s
ECE 251D: Homework #6
Consider a 32 element ULA with six plane waves impinging on the array. The snapshot vector is given
by
Y[n] =
6
sl [n]V(l ) + W[n], n = 1, ., M
l=1
Choose the six angle of arriva
IEEE TRANSACTIONS ON AUDIO AND ELECTROACOUSTICS
VOL.
AU-20. NO. 2
Digital Inverse Filtering A New Tool for Formant
Trajectory Estimation
JOHN D. MARKEL
Speech Commun. Res. Lab., Inc.
Santa Barbara, Ca
Statistical Tests on Time Series
A.
Generate the following N = 1024 point time series:
1.
2.
Gaussian white noise with E[x(n)]=0 and var[x(n)] = 1.
" A2 %
"&
#
Add to (A1) a sinusoid % ! = ( such that