Question

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?

Answer #1

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
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fewer errors occur? ( Round your answer to 3 decimal places) B) If
50 bits are transmitted, what is the probability that more than 8
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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
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 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 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 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 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,
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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
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
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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...

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