EE3404: Homework 6 Solutions
Demodulation
Prof. Sundeep Rangan
You can send solutions directly to the TA, Farideh Rezagah, [email protected], or upload the
solutions on my.poly. Direct all questions to the TA.
1. Since this is an AWGN channel, the ML detecto
Course Admin
EL3404: Communication Theory
Prof. Sundeep Rangan, NYU-Poly
Spring 2016
1
EE3404: Communication Theory
People
Prof: Sundeep Rangan, [email protected]
Office: 2 MTC 9.104
Text: Proakis, Salehi,
Communications Systems Engineering
Grader: Sour
Lecture 3: Amplitude Modulation
EE3404: Fundamentals of Communication Theory
Prof. Sundeep Rangan, NYU-Poly
Fall 2016
1
EE3404: Communication Theory
Learning Objectives
Write the time-domain expressions of AM DSB-SC and DSB
Draw the spectrum (FT) of an
Lecture 6: Band-Limited Modulation
EL3404: Fundamentals of Communication Theory
Prof. Sundeep Rangan, NYU-Poly
Spring 2014
1
EE3404: Communication Theory
Learning Objectives
Compute the Nyquist rate and degrees of freedom from the
bandwidth
Determine if
Lecture 4: Frequency Modulation
EL3404: Fundamentals of Communication Theory
Prof. Sundeep Rangan, NYU-Poly
Spring 2014
1
EE3404: Communication Theory
Learning Objectives
Write the time-domain expression for angle modulation
Phase modulation and frequen
Lecture 5: Modulation
EL3404: Fundamentals of Communication Theory
Prof. Sundeep Rangan, NYU-Poly
Spring 2014
1
EE3404: Communication Theory
Challenge
Design a system to transmit and receive digital data.
Think about tools we have developed so far:
Pas
Lecture 8: Probability 2
EL3404: Fundamentals of Communication Theory
Prof. Sundeep Rangan
Spring 2016
1
EE3404: Communication Theory
Learning Objectives
Compute the marginal and conditional density / PMF from
2
the joint density / PMF
Compute the expect
Lecture 10: Demodulation
EE3304: Digital Communications
Prof. Sundeep Rangan, NYU-Tandon
Spring 2016
1
EE3404: Communications theory
Outline
Complex Gaussians
Gaussian white noise
Orthogonal linear modulation
Detection in an AWGN channel
Error Probab
Lecture 11: Channel Coding
EL3404: Fundamentals of Communication Theory
Prof. Sundeep Rangan, NYU-Tandon
Spring 2016
1
EE3404: Communication Theory
Learning Objectives
Perform basic binary arithmetic operations
Encode bits given a generator matrix. Iden
Lecture 7: Probability
EL3404: Fundamentals of Communication Theory
Prof. Sundeep Rangan, NYU-Poly
Spring 2014
1
EE3404: Communication Theory
Learning Objectives 1
Describe a sample space, events, and and-or operations using
2
set notation
Compute probab
Lecture 9b: Receive Filtering
EE3304: Digital Communications
Prof. Sundeep Rangan, NYU-Tandon
Spring 2016
1
EE3404: Communication theory
Learning Objectives
Describe the steps in recovering symbols for a linearly
modulated signal
Determine the matched f
Lecture 9: Signal Space Concepts
EE3304: Digital Communications
Prof. Sundeep Rangan, NYU-Tandon
Spring 2016
1
EL6013: Digital Communications, modulation and coding
Outline
Vector space basics (not in text)
Orthonormal modulation
Gram-Schmidt procedure
EE3404: Quiz 8
AWGN Demodulation
Prof. Sundeep Rangan
Quiz is open book. You should not need a calculator for any of the problems, but you are free
to look at your laptop during the quiz. You have 30 minutes.
Problem Suppose that a transmitted value x
wit
EE3404: Quiz 9
Non-Gaussian Detection
Prof. Sundeep Rangan
Quiz is open book. You should not need a calculator for any of the problems, but you are free
to look at your laptop during the quiz. You have 30 minutes.
Problem
A transmitter sends a single bit
EE3404: Quiz 7
Random Variables
Prof. Sundeep Rangan
Quiz is open book. You should not need a calculator for any of the problems, but you are free
to look at your laptop during the quiz. You can even try to run your MATLAB code on your laptop
if you broug
Chapter 4
Static and Dynamic
Routing
TCP/IP Essentials
A Lab-Based Approach
Spring 2017
IP Networking Example
AAA Authentication, Authorization, Accounting
BNG Broadband Network Gateway
DSL Digital Subscriber Line
DSLAM DSL Access Multiplexer
DSSS Direct
EE3404: Homework 2
Power, Energy and Sampling
Prof. Sundeep Rangan
All problems can be found in Proakis & Salehi Upload answers on NYU Classes. Direct all
questions to the TA, Sourjya Dutta, [email protected]
1. Proakis & Salehi, Problem 2.31.
(i) x(t) = et
EE3404: Homework 4
Digital Modulation
Prof. Sundeep Rangan
1. Suppose that a system uses 16-QAM modulation with symbols s[n] = sc [n] + jss [n] with with
sc [n], ss [n] cfw_3A, A, A, 3A at a symbol rate of 10 Msym/s.
(a) Enumerate the constellation points
EE3404: Homework 5
Random Variables
Prof. Sundeep Rangan
Problem 1
a)
Let us denote the revenue by a random variable R.
Thus the average revenue per month per customer is = E[R].
From the given table,
E[R] =
4
X
ri P(R = ri )
i=1
= 0.45 30 + 0.3 50 + 0.15
EE3404: Homework 6
Joint Densities and Estimation
Prof. Sundeep Rangan
1. (a) This is an additive channel so
p(y|x) = pW (y x) =
1
2
2
e(yx) /(2 ) .
2
(b) The ML estimator is
b = arg max p(y|x) = arg max ln p(y|x).
X
x=1
x=1
Since there are only two choi
Lecture 2: Passband Modulation
EE3404: Fundamentals of Communication Theory
Prof. Sundeep Rangan, NYU-Poly
Spring 2014
1
EE3404: Communication Theory
Learning Objectives
Convert between I/Q, complex baseband and real passband
Time and frequency domain e
Lecture 1: Signals & Systems
EL3404: Communication Theory
Prof. Sundeep Rangan, NYU-Poly
Spring 2014
1
EE3404: Communication Theory
Learning Objectives 1
Perform complex arithmetic
add, multiply, divide, absolute value
Compute and draw the FT and inver