Show the average probability of error

Assignment Help Project Management

Reference no: EM131281995

Consider a digital communication system that uses a repetition code for the channel encoding/decoding. In particular, each transmission is repeated n times, where n = 2m + 1 is an odd integer.

The decoder operates as follows. If in a block of n received bits the number of 0s exceeds the number of 1s, then the decoder decides in favor of a 0; otherwise, it decides in favor of a 1.

An error occurs when m + 1 or more transmissions out of n = 2m + 1 are incorrect. Assume a binary symmetric channel.

a. For n = 3, show that the average probability of error is given by

2320_Equation 8.png

Reference no: EM131281995

Questions Cloud

Find the capacity of the channel : ‘The binary erasure channel has two inputs and three outputs as described in Figure.- Find the capacity of the channel.

Write a paper on victimless : write a one to two page paper discussing whether or not the possession and carrying of firearms or the illegal purchase of a firearm are "victimless" crimes. Why are offenses such as these not usually listed as victimless crimes?

Develop an expression for the ratio of the rate of heat : Develop an expression for the ratio of the rate of heat transfer to water at 40°C from a thin flat strip of width πD/2 and length L at zero angle of attack and from a tube of the same length and diameter D in cross-flow with its axis normal to the..

Do the findings surprise or puzzle you in any way : Is there a theme/idea/perspective that runs through the responses to your questions? Is there more than one theme? Do the findings surprise or puzzle you in any way? If so, in what ways?

Show the average probability of error : Consider a digital communication system that uses a repetition code for the channel encoding/decoding.- show that the average probability of error.

Discuss about the legal principles,healthcare rights etc : Discuss about the Legal principles,Healthcare Rights, Legal Employment Qualifications etc.

Estimate the actual temperature of the air : The air flows normal to the cylinder at a mass velocity of 17,600 kg/h m2. If the temperature indicated by the thermocouple is 200°C, estimate the actual temperature of the air.

Show differential entropy of a continuous random variable : The differential entropy of a continuous random variable X is defined by the integral of (5.66).- Show that the differential entropy of a continuous random variable X is invariant to translation;

Write a succinct introduction that informs the reader : Write a succinct introduction that informs the reader of the topic of the assignment and its organization. Remember, an effective essay introduction tells the reader what you will say.

User Account

All Pages