ECE 5000: INTRODUCTION TO ANALOG AND DIGITAL
COMMUNICATIONS
HOMEWORK 6 SOLUTION
1. Recall the derivation of the maximum likelihood detector for AWGN channels. The same
principle can be extended to other decision making problems. Suppose that v[n] is an i.
ELE 5000: INTRODUCTION TO ANALOG AND DIGITAL
COMMUNICATIONS
HOMEWORK 7 SOLUTION
1. (Chap. 4 Prob. 24) Consider an OFDM communication system and a discrete-time
channel with taps cfw_h[ ]L=0 . Show mathematically why the cyclic prex length Lc must
satisfy
ECE 5000: Introduction to Analog and Digital Communications
Midterm Examination 1 Solution
Due to misallocation, the total points of all three problems add up to 95; therefore everyone is
given an extra 5 points as long as she writes her name on the cover
ELE 5000: INTRODUCTION TO ANALOG AND DIGITAL
COMMUNICATIONS
HOMEWORK 4 SOLUTION
1. (Chap. 2 Prob. 15) A favorite sampling problem. Consider the continuous-time signal
xc (t) = cos(10t) + sin(3t + /2).
Let T be the sampling period and reconstruction period
ECE 5000: Introduction to Analog and Digital Communications
Spring 2015
Course Description
An introduction to communications channel modeling, analog communication schemes, digital communication
schemes, error rate analysis, and error control coding.
Cour
ELE 5000: INTRODUCTION TO ANALOG AND DIGITAL
COMMUNICATIONS
HOMEWORK 3
DUE 9/19 IN CLASS
1. (Chap. 2 Prob. 3) Let x[n] and y [n] be two independent zero-mean complex WSS
random signals with autocorrelations Rxx [k ] and Ryy [k ], respectively. Determine t
ELE 5000: INTRODUCTION TO ANALOG AND DIGITAL
COMMUNICATIONS
HOMEWORK 2 SOLUTION
1. Consider the message signal
m(t) = 2 cos(2t),
and its AM modulated signal
s(t) = [A + m(t)] cos(100t).
(1) Sketch s(t) respectively when A = 0 and A = 5.
(2) Sketch the Fou
ECE 5000: INTRODUCTION TO ANALOG AND DIGITAL
COMMUNICATIONS
HOMEWORK 5
DUE 3/9 IN CLASS
Reading: Heath Chapter 4.1-4.5
1. Consider the following new M = 8 point constellation illustrated in Fig. 1.
Figure 1. An 8-point constellation.
(1)
(2)
(3)
(4)
Compu
ECE 5000: Introduction to Analog and Digital
Communications
Midterm Examination 1
Feb. 14, 2014, 11:30 12:25 PM
Closed Book, Closed Notes
1 page cheat sheet. No calculator.
Name:
OSU ID:
Problem Your Score Possible
1
30
2
38
3
32
Total
100
1. (30 pts) We
ECE 5000: INTRODUCTION TO ANALOG AND DIGITAL
COMMUNICATIONS
HOMEWORK 4
DUE 3/2 IN CLASS
1. Let E1 and E2 be two events and P(E1 ) = 1/4. Evaluate P(E2 ) for each of the scenarios below:
(1)
(2)
(3)
(4)
(5)
c
E2 = E1 .
E1 and E2 are disjoint and P(E1 E2 )
ECE 5000: INTRODUCTION TO ANALOG AND DIGITAL
COMMUNICATIONS
HOMEWORK 4
DUE 3/2 IN CLASS
1. Let E1 and E2 be two events and P(E1 ) = 1/4. Evaluate P(E2 ) for each of the scenarios below:
(1)
(2)
(3)
(4)
(5)
c
E2 = E1 .
E1 and E2 are disjoint and P(E1 [ E2
ECE 5000, Introduction to Analog and Digital Communication
OSU, Autumn 2014
Nov. 21, 2014
Midterm 2
NAME:
The duration of the exam is 55 minutes. The exam consists of 2 questions with
multiple parts each. Questions carry dierent weights, which are noted n
ECE 5000: Introduction to Analog and Digital
Communications
Lecture 3: Sampling Theorem, Complex Baseband model
Yuejie Chi
Dept. of Electrical and Computer Engineering
Ohio State University
Sampling
Reduce a continuous signal to a discrete signal: samplin
ECE 5000: INTRODUCTION TO ANALOG AND DIGITAL
COMMUNICATIONS
HOMEWORK 2 SOLUTION
1. Consider the message signal
m(t) = 2 cos(2t),
and its AM modulated signal
s(t) = [A + m(t)] cos(100t).
(1) Sketch s(t) respectively when A = 0 and A = 5.
(2) Sketch the Fou
ECE 5000: INTRODUCTION TO ANALOG AND DIGITAL
COMMUNICATIONS
HOMEWORK 1 SOLUTION
1. Find the time autocorrelation of the signal x(t) = eat u(t) and estimate the 90%-power bandwidth of the above signal, where a > 0 and u(t) is a standard step function.
Solu
ECE-5000
Introduction to Analog and Digital Communications
Homework #2
Autumn 2016
Sep. 2, 2016
HOMEWORK ASSIGNMENT #2
Due Mon. Sep. 12, 2016 (in class)
Reading:
1. Ch. 3.1 3.3 Madhow text; Ch. 2 and Appendix B, Potter & Yang text.
Problems:
1. In this pr
ECE-5000
Introduction to Analog and Digital Communications
Homework #1
Autumn 2016
Aug. 24, 2016
HOMEWORK ASSIGNMENT #1
Due Friday Sep. 2, 2016 (in class)
Reading:
1. Madhow text, chapter 1 (online at Carmen page)
2. Potter/Yang text, pages 1-12 (link at
ECE-5000
Analog and Digital Communications
Autumn 2016
Homework #9
Solutions & Comments
1. Question one presents a generator matrix for a (7, 3) linear block code.
(a) N = 7 is the block size; K = 3 is the number of data bits (columns in generator matrix)
ECE-5000
Analog and Digital Communications
Homework #6
Autumn 2016
Solutions & Comments
1. Distance between nearest symbols in an M -PSK constellation. (Suggestion: draw a sketch; not
shown here.) The M -ary PSK constellation is given by
2k
a[n] = exp j
,
ELE 5000: INTRODUCTION TO ANALOG AND
DIGITAL COMMUNICATIONS
HOMEWORK 1
DUE 1/26 IN CLASS
Reading Assignment: Madhow (2.1-2.3, 2.5-2.7); book can be
downloaded from Carmen.
1. Let x(t) = eat u(t) and estimate the 90%-energy bandwidth of the
above signal, w
Notes
ECE 5000: Introduction to Analog and Digital
Communications
Lecture 1: Reviews for Signal and Systems
Yuejie Chi
Dept. of Electrical and Computer Engineering
Ohio State University
Linear Time-Invariant System
Notes
What is a linear time-invariant sy
ELE 5000: INTRODUCTION TO ANALOG AND DIGITAL
COMMUNICATIONS
HOMEWORK 2
DUE 2/6 IN CLASS
Reading: Madhow 3.2, 3.3
1. Consider the message signal
m(t) = 2 cos(2t),
and its AM modulated signal
s(t) = [A + m(t)] cos(100t).
(1) Sketch s(t) respectively when A
Notes
ECE 5000: Introduction to Analog and Digital
Communications
Lecture 2: Analog Communications
Yuejie Chi
Dept. of Electrical and Computer Engineering
Ohio State University
Analog Communications: Overview
Information message are typically low-pass sig
ECE 5000: Introduction to Analog and Digital
Communications
Lecture 2: Analog Communications
Yuejie Chi
Dept. of Electrical and Computer Engineering
Ohio State University
Analog Communications: Overview
Information message are typically low-pass signals;