7. The input U of binary communication channel is either -2.5 or +2.5 representing bit values...
(2) In binary communication system, we send "0s and ""s and due to noise and channel distortion receiver sometimes makes errors with probability p. We also send these information bits in the form of packets (e.g., group of 10 bits) i) What is the probability of having a packet error that carries 100 bits of information? İİ) What is the probability of having at least 2 bit errors in a 100-bit packet? (2) In binary communication system, we send "0s...
ission system sends a "0" bit by transmitting a zero volts signal, and a "1" 7 A binary bit bytransmitting +2 volts signal. The received signal is corrupted by noise and is givern by: Y-X+N, where X is the transmitted signal, and N is a noise voltage with double- exponential pdf given by; 0 1เ The receiver detects the transmitted signal by comparing Y to a threshold voltàge of +1 volts. If Y<+1 then the rcceiver decides that "U" is...
Consider a noisy communication channel, where each bit is flipped with probability p (the probability that a bit is sent in error is p). Assume that n−1 bits, b1,b2,⋯,b(n−1), are going to be sent on this channel. A parity check bit is added to these bits so that the sum b1+b2+⋯+bn is an even number. This way, the receiver can distinguish occurrence of odd number of errors, that is, if one, three, or any odd number of errors occur, the...
Problem 3. A binary message either 0 or 1 is transmitted by wire. However, data sent over the wire is subject to channel noise disturbance. If x is the value sent (either 0 or 1), then the value received at the other end is R-x+x, where Ņ represents the noise. Assume that Ņ is a normal random variable with mean μ 0 and variance σ2-0.04. Assume that a message sent is equally likely to be 0 or 1. When the...
Problem 3. A binary message either 0 or 1 is transmitted by wire. However, data sent over the wire is subject to channel noise disturbance. If x is the value sent (either 0 or 1), then the value received at the other end is R-x+x, where Ņ represents the noise. Assume that Ņ is a normal random variable with mean μ 0 and variance σ2-0.04. Assume that a message sent is equally likely to be 0 or 1. When the...
I need it urgently. Kindly provide me in neat and clean. Thanks in advance. This information is complete and if You think info is incomplete than kindly mention. Exercise 1 Assume that a binary symmetric channel is used in this question as shown in fig. 1 I-p 0 0 Alice (encoder) Bob (decoder) 1 1-P Figure 1 The Binary symmetric channel where the probability of a bit being wrongly decoded by Bob is p i) Two codes are proposed: a...
5. A binary Z-channel is show in the figure. Assume the input is "0" with probability p and "1" with probability 1-p. (a) What can you say about the input bit if " is received? (b) Find the the probability that the input was "1" given that the output is "0" 0 Input Output 6. A transmitter randomly sends one of the messages in fa1, a2,.. ,an). The receiver either receives the transmitted message with probability p, or mistakenly receives...
Q2. A binary symmetric channel (BSC) has a bit error rate of 0.18. a) Fine the channel capacity. [1 mark] b) Can we achieve error-free communication with coding rate of 0.25 theoretically? Explain your answer. [2 mark] Q2. A binary symmetric channel (BSC) has a bit error rate of 0.18. a) Fine the channel capacity. [1 mark] b) Can we achieve error-free communication with coding rate of 0.25 theoretically? Explain your answer. [2 mark]
Suppose a binary message is transmitted through a noisy channel. The transmitted signal S is equally likely to be 1 or-1, the noise N follows a normal distribution N(0,4), and the received signal is R-S + N. The receiver concludes that the signal is 1 when R > 0 and-1 when R<0. What is the error probability when one signal is transmitted? ·What is the error probability when one signal is transmitted if we triple the amplitude of the transmitted...
Let us consider a binary symmetric channel, as shown in Figure 1, where the probabilities of the input X are Pr(X-0] = m and Pr(X-1-1-m, and the error probability during the transmission from X and Y is p. 0 1-p Figure 1: A typical binary symmetric channel, where the input is X and the output is Y. a) Given that p-1/3 and m-3/4, find H(X), H (Y), H (YİX), and 1(X:Y). (8 marks) b) Still given p = 1 /3....