56:178 Digital Systems Simulation
HW1 Due: February 6th (Wednesday), 1:15pm
Spring 13
Note: Submit your solution inclass. Do NOT use ICON to submit your work for this
assignment.
1. Carry out the handsimulation for the simple processing system in Chapte
56:178 Digital Systems Simulation
HW1 Due: February 9 (Wednesday), 9:00am
Spring 11
1. Carry out the handsimulation for the simple processing system in Chapter 2 using the
following input (assume part 1 arrives at time 0; the unit is hour):
Part Number
I
56:178 Digital Systems Simulation
HW8 Due: April 21 (Wednesday), 9:00am
Spring 10
Note: Submit your solution through ICON Dropbox. You should upload THREE files:
one .doc file reporting statistics/results required in each problem, and two .doe ARENA
model
56:178 Digital Systems Simulation
Exam 1
5:00~6:15 pm, March 5, 2014
NOTES:
1.
2.
3.
4.
5.
Open book, open notes.
Write your answer clearly on this exam paper. DO NOT use your own paper.
The exam is worth 25 points.
Partial credit may be given for partial
324
DIGITAL COMMUNICATIONS
Set I
u,(~h
o~,
Se1 II
Set Ill
FIGURE PS13
However, a lower error probability is possible with coherent detection of FSK if llf is
increased beyond 1/2T. Show that the optimum value of llf is 0.715/T and
determine the probabili
C'HAl'H.R
~
Of'TIMt;M
RECEIVERS
FOR THE
AODITrVE
WHITI: GAUSSIAN
NOISE
(HANNEI.
323
b p(u, <!>). where u = Va2 + b2 and <P =tan "b ] a;
c p(u ).
Note: In (b) it is convenient to define ()=tan ' (m,/ m,) so that
m, = v'm; + m7 cos e.
m,
=:
v'm~ + m~ sin 8.
322
DIGITAL COMMUNICATIONS
$i(J
s 1(r)
A
A
0
A
0
!r 2
T
A
FIGURE PS8
process with autocorrelation function ti>. (r> N06(r), Let /.,(t), m = 1, 2, . , M,
be a set of M orthogonal equivalent lowpass waveforms defined on the interval
0 ~ t ~ T. Define
N,.
CHAPTER
5:
OPTIMUM
RECEIVERS
FOR THE
ADDITIVE
WHITE
UAU~SIAN
NOISE
CHANNEL
)2)
53 This problem deals with the characteristics of a DPSK signal. a
Suppose we wish to transmit the data sequence
l 1 0 1 0 0 0 1 0 1 l 0
by binary DPSK Let s(t) =A cos (21ifrt
320
DIGITAL COMMt'NICATIONS
matched filter was first proposed by North (1943) for use in radar detection,
and is sometimes called the North filter. An alternative method for deriving
the optimum demodulator and detector is the KarhunenLoeve expansion,
wh
CHAPTER
):
OPTIM\:M
RECEIVERS
FOR THE ADDITIVE
WHITE
GAUSSIAN
NOISE
CHANNEL
319
it follows that
)gh)
R( No req
SNR per bit. Hence,
PR No
(5516)
if we have PR/ No and the required
data rate that is possible.
where (th/ No)req is the required
SNR per bit,
318
OllHTAL
cmtMl'NKATIONS
antenna pattern. For example, the 3 dB beamwidth of a parabolic antenna is a
pproxima le ly
(5512)
so that GT is inversely proportional to e~. That is, a decrease of the beamwidth by
a factor of two, which is obtained by doub
CHAPTER
5:
OPTIMUM
RECEIVERS
The factor
FOR THE ADDITIVE WHITE GAUSSIAN NOISE fHANNEL
Ls = 41Ul
(~)2
317
(557)
is called the freespace path loss. Jf other losses, such as atmospheric losses, are
encountered in the transmission of the signal, they may b
316
DIGITAL COMMlJNK .TIONS
I
I
, ,. I
I
f
,
I
I
I
 . .
, " 
. .
I
.
'"
',
\
.~
.
I
'
\
FlGURE 552
'
Isotropically radiating antenna.
l
',
'
\
'
'
"'
'
, Amcnna,
.
"'
,
.,.,_.,
\
"
\
\
t
I
t
I
'
I
,'
t
I
'
about 18.3 dB, or approximately 70 times the
56:178 Digital Systems Simulation
HW8 Due: April 21 (Wednesday), 9:00am
Spring 10
Problem 1  For Exercise 513, suppose the average interarrival times of both types of customers
are doubled for the last 4 hours each day, modify the model correspondingly
56:178 Digital Systems Simulation
HW7 Due: April 14 (Wednesday), 9:00am
Spring 10
Note: Submit your solution through ICON Dropbox. You should upload FIVE files: one .doc
file reporting statistics/results required in each problem, and four .doe ARENA model
56:178 Digital Systems Simulation
HW2 Due: February 17 (Wednesday), 9:00am
Spring 10
Solve the following problems from the textbook:
35 (Please report the average WIP and the maximum WIP in your .doc file)
36 (Do NOT need the plots asked by the third bu
56:178 Digital Systems Simulation
HW3 Due: February 20 (Wednesday), 12:00pm
Spring 13
Note: Submit your solution through ICON Dropbox. You should upload THREE files: one
.doc file reporting statistics required in each problem, and two .doe ARENA model fil
56:178 Digital Systems Simulation
HW7 Due: April 10 (Wednesday), 12:00pm
Spring 13
Note: Submit your solution through ICON Dropbox. You should upload FOUR files:
one .doc file reporting statistics/results required in each problem, and three .doe ARENA
mod
56:178 Digital Systems Simulation
HW10 NOT GRADED
Spring 13
Problem 1 For Model 94, suppose the maximum size of the first batch after each startup is 6
instead of 10 (the batch size limits of the other batches are unchanged), modify the model
correspondi
56:178 Digital Systems Simulation
HW8 Due: April 17 (Wednesday), 12:00pm
Spring 13
Note: Submit your solution through ICON Dropbox. You should upload FOUR files:
one .doc file reporting statistics/results required in each problem, three .doe ARENA model
f
56:178 Digital Systems Simulation
HW5 Due: March 13 (Wednesday), 12:00pm
Spring 13
Note: Submit your solution through ICON Dropbox. You should upload FOUR files:
one .doc file reporting statistics/results required in each problem, and three .doe ARENA
mod
56:178 Digital Systems Simulation
HW6 Due: March 27 (Wednesday), 12:00pm
Spring 13
Note: Submit your solution through ICON Dropbox. You should upload THREE files: one
.doc file reporting statistics/results required in each problem, and two .doe ARENA mode
56:178 Digital Systems Simulation
HW4 Due: February 27 (Wednesday), 12:00pm
Spring 13
Note: Submit your solution through ICON Dropbox. You should upload THREE files:
one .doc file reporting statistics required in each problem, and two .doe ARENA model fil
56:178 Digital Systems Simulation
HW2 Due: February 13 (Wednesday), 1:15pm
Spring 13
Solve the following problem from the textbook:
27 (do NOT need to compare the confidence intervals or clarify the differences)
This file was downloaded
from the Solutions area of
the website for the 3d ed.
of "Simulation With Arena"
by Kelton, Sadowski, and
Sturrock.
Exercise 417
Generate each data set using the Input Analyzer itself. First open a new file via File > New. Then
g
56:178 Digital Systems Simulation
HW5 Due: March 24 (Wednesday), 9:00am
Spring 10
Problem 1  Exercise 41: Please pull apart the animation for all queues and resources in an
area separate from the model logic. Please use Station and Route modules and the
UfAf'll
f< 5
CW!l.\H'~I Kl<Tfl"lRS FOR THE ADl)rJI\ f WHITF. (iAIJ.\SJA!\
a bit error for one hop (signal
repeater in the chain) is
transmission
JJ_5
:\OISI 'H.\'>:1'1
from one repeater
to the nc xt
Since errors occur with low probability, we may ignore
CHAPTER
5:
Ol"flMl .M RECEIVERS
FOR THE
ADDITIVE
WHITE
GAl sslA:1
:>;OISE
313
CHA:>;~U
,
I ;s;
.
.
~ .
Q.
"
=
z
'o"'
s,
:c
11)4
FIGURE 54l>
I
I
I
Pb=~
e
111
"lpl = 0.6 '
"
.
'
I"\. "\.
lpl,O.~
I
I() b

Probability of error for noncoherent
detection
314
DIGITAL COMMUNICATIONS
Trasmiued
signal
Received
r(t)
.<(I)
nGURE
551
Mathematical model of channel with attenuation
and additive noise.
Attenuation
a
= signal + n(t)
QJ(I)
Noist
n!)
where "th is the transmitted energy per bit and !Ne> is the power