Question

If In a digital communication system, 1’s transmitted 55% of the time and -1’s transmitted during...

If In a digital communication system, 1’s transmitted 55% of the time and -1’s transmitted during the rest of the time. If noise is present in the channel [Gaussian noise N(0,1/25)], and the threshold is set to 0, what is the probability of error?

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
In a communication system, information bits are transmitted from source to destination. However, due to the...
In a communication system, information bits are transmitted from source to destination. However, due to the ambient white Gaussian noise in the communication channel, an information bit may be received erroneously by the time it arrives at the destination. Assume that the information bits are transmitted independently, and let p denote the bit error probability with pϵ(0; 1). Suppose a total of N bits are transmitted from the source to the destination, and let WN denote the total number of...
In a digital communication channel, assume that the number of bits received in error can be...
In a digital communication channel, assume that the number of bits received in error can be modeled by a binomial random variable. The probability that a bit is received in error is 0.1. A) If 50 bits are transmitted, what is the probability that 2 or fewer errors occur? ( Round your answer to 3 decimal places) B) If 50 bits are transmitted, what is the probability that more than 8 errors occur? ( Round your answer to 5 decimal...
There is a chance that a bit transmitted through a digital transmission channel is received in...
There is a chance that a bit transmitted through a digital transmission channel is received in error. Let X equal the number of bits in error in the next three bits transmitted. Suppose that the performed experiment on the entire population gives the probability distribution below, x 0 1 2 3 P(X=x) 0.656 0.292 0.049 0.003 Find a)The cdf of X, and graph it x < 0 0 ? x < 1 1 ? x < 2 2 ? x...
Q1. A multilevel digital communication system is to operate at a baud rate of 20Kbaud/s. Each...
Q1. A multilevel digital communication system is to operate at a baud rate of 20Kbaud/s. Each level is encoded as an 8 bit digital word for the multi level transmission. The message signal to be transmitted is an analog signal which is PCM encoded with an 8 level quantizer. a. What would be the minimum required bandwidth for the multi level transmission? b. What would be the sampling rate of the PCM system ? c. What would be the data...
In a binary communication channel, 0s and 1s are transmitted with equal probability. The probability that...
In a binary communication channel, 0s and 1s are transmitted with equal probability. The probability that a 0 is correctly received (as a 0) is 0.99. The probability that a 1 is correctly received (as a 1) is 0.90. Suppose we receive a 1, what is the probability that, in fact, a 0 was sent? How to apply bayes rule?
2-5.5 - A common method for detecting a signal in a presence of noise is to...
2-5.5 - A common method for detecting a signal in a presence of noise is to establish a threshold value and compare the value of any observation with this threshold. If the threshold is exceeded, it is decided that a signal is present. Sometimes, of course, noise alone will exceed the threshold and this is known as a “false alarm”. Usually, it is desired to make the probability of a false alarm very small. At the same time, we would...
The receiver in an optical communications system uses a photodetector that counts the number of photons...
The receiver in an optical communications system uses a photodetector that counts the number of photons that arrive during one time unit. Suppose that the number X of photons can be modeled as a Poisson random variable with rate λ1 when a signal is present (say bit “1” is transmitted) and a Poisson random variable with rate λ0 < λ1 when a signal is absent (say bit “0” is transmitted). Let p denote the probability that the transmitted bit is...
A message transmission system has two channels, C1 and C2. Each message consists of a succession...
A message transmission system has two channels, C1 and C2. Each message consists of a succession of “zeros” and “ones”, with 60% of messages forwarded by channel C1. The probability of the system correctly transmitting each signal (0 or 1) is 0.95 for channel C1, and 0.99 for channel C2 (LOPES, 2015). If a message consisting of signal set 011 is issued: A. How likely is it to be transmitted correctly? B. knowing that it was received as 010, i.e....
A binary message m, where m is equal either to 0 or to 1, is sent...
A binary message m, where m is equal either to 0 or to 1, is sent over an information channel. Because of noise in the channel, the message received is X, where X = m + E, and E is a random variable representing the channel noise. Assume that if X ≤ 0.5 then the receiver concludes that m = 0 and that if X > 0.5 then the receiver concludes that m = 1. Assume that E ∼ N(0,...
Suppose a full-scale voice signal with bandwidth 10 kHz is sampled at the Nyquist rate and...
Suppose a full-scale voice signal with bandwidth 10 kHz is sampled at the Nyquist rate and quantized by using a b-bit uniform quantizer. The bit stream is then transmitted using binary PAM over an AWGN channel that is capable of passing frequencies in the range of [0, 200kHz]. 1. Suppose that the signal is transmitted at the maximum bit rate and the two-sided spectral density of noise at the receiver is 10-6 W/Hz. What is the required signal power to...