Consider a simple communication system consisting of a transmitter, a channel and a receiver. The transmitter...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Consider a simple communication system consisting of a transmitter, a channel and a receiver. The transmitter sends bits over the channel, denoted by random variable X, that are either 0 or 1. The receiver receives bits, denoted by random variable Y, again either 0 or 1. Based on the received bit, the receiver makes a guess or estimates what the transmitted bit must have been, denoted by random variable . Let r be the probability that bit 0 is sent by the transmitter. Therefore, r = = P[X = 0] The channel in this case is described by the probability that a transmitted bit is received as is and the probability that it gets flipped. Let p be the probability that the received bit is the same as the transmitted bit. Therefore, p = P[Y = 0|X = 0] = P[Y = 1|X = 1]. The error probability is defined as P[e] = P[ X]. (a) Write a MATLAB function Y = channel(X, p) that takes a vector of trans- mitted bits X and p as input and returns the vector of received bits Y. Consider a simple communication system consisting of a transmitter, a channel and a receiver. The transmitter sends bits over the channel, denoted by random variable X, that are either 0 or 1. The receiver receives bits, denoted by random variable Y, again either 0 or 1. Based on the received bit, the receiver makes a guess or estimates what the transmitted bit must have been, denoted by random variable . Let r be the probability that bit 0 is sent by the transmitter. Therefore, r = = P[X = 0] The channel in this case is described by the probability that a transmitted bit is received as is and the probability that it gets flipped. Let p be the probability that the received bit is the same as the transmitted bit. Therefore, p = P[Y = 0|X = 0] = P[Y = 1|X = 1]. The error probability is defined as P[e] = P[ X]. (a) Write a MATLAB function Y = channel(X, p) that takes a vector of trans- mitted bits X and p as input and returns the vector of received bits Y.
Expert Answer:
Related Book For
Finite Mathematics And Its Applications
ISBN: 9780137616619
13th Edition
Authors: Larry J. Goldstein, David I. Schneider, Martha J. Siegel , Jill Simmons
Posted Date:
Students also viewed these programming questions
-
can someone solve this Modern workstations typically have memory systems that incorporate two or three levels of caching. Explain why they are designed like this. [4 marks] In order to investigate...
-
Portray in words what transforms you would have to make to your execution to some degree (a) to accomplish this and remark on the benefits and detriments of this thought.You are approached to compose...
-
The binding constants for Mg2+ and Ca2+ are too similar for the species to be determined independently by titration without proper treatment. When a dilute NaOH solution is added to the tap water...
-
A stock has an expected return of 13.6 percent, the risk-free rate is 3.7 percent, and the market risk premium is 7.1 percent. What must the beta of this stock be?
-
Record the sale on account, for $1,600, of merchandise costing $900 in the province of Quebec. Assume the company uses a perpetual inventory system. The QST is 9.975%?
-
How might a hacker access and manipulate a digital device for illegal purposes? Are the Internet of Things (IoT) devices at risk for hacker access and manipulation?
-
Jerry Smith (Problem 3-36) has done some analysis about the profitability of the bicycle shop. If Jerry builds the large bicycle shop, he will earn $60,000 if the market is favorable, but he will...
-
Simon Company's year-end balance sheets follow. At December 31 Assets Current Year 1 Year Ago 2 Years Ago Cash Accounts receivable, net $ 34,375 99,630 $ 40,993 69,607 Merchandise inventory Prepaid...
-
Each of the following numbers represents a signed decimal number in the 2's-complement system. Determine the decimal value in each case. (Hint: Use negation to convert negative numbers to positive.)...
-
Explain how gross income of interest or royalty income shall be deemed to be Malaysian sourced. give explanation with example
-
What is Criminal Law,how does steal something from work can be related to Criminal Law ?
-
Air conditioning for a college dormitory will cost $2.1 million to install and $170,000 per year to operate. The system should last 19 years. The real cost of capital is 9%, and the college pays no...
-
A project has an initial cost of $41,025, expected net cash inflows of $9,000 per year for 7 years, and a cost of capital of13%. What is the project's MIRR? Do not round intermediatecalculations....
-
How do microbial symbionts influence the evolution and ecological success of their host organisms, and what implications does this have for understanding microbial diversity and ecosystem functioning?
-
1. Use these six companies in the previous "Financial Ratios" to list the stock prices of June 1 and July 1, 2020. ? Use the above info to compute stock return for an individual stock (1%, listing...
-
3M Company reports the following financial statement amounts in its 10-K report: a. Compute the receivables, inventory, and PPE turnover ratios for both 2018 and 2017. (Receivables turnover and...
-
Find an expression for the amount of money after five years when the initial amount is $80 and the annual interest rate is as given. 8% compounded quarterly
-
According to the U.S. Department of Labor, medical assistant jobs are expected to increase from 725,200 in 2019 to 864,400 in 2029. Assuming that the number of medical assistant jobs increases...
-
What is the definition of Pr( E|F )?
-
In a large office building, there is a woman dead in her locked office, sitting at her desk. Except for the desk, chair, and contents on the desk, the office is empty and the air conditioner is...
-
How many birthdays does the average person have?
-
A murderer is condemned to death. He has to choose between three rooms. The first is full of raging fires, the second is full of assassins with loaded guns, and the third is full of lions that havent...
Study smarter with the SolutionInn App