In a binary communication system with an asymmetric transmitter, bits 0 and 1 are generated with...
In a binary communication system with an asymmetric transmitter, bits 0 and 1 are generated with 0.4 and 0.6 probabilities respectively. The receiver receives the bit stream of data through a noisy channel with the noise mean of zero and variance of 0.2. If the bit amplitudes for 1 and 0 are respectively 0.75 and -0.75, what will be the BER.
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In a binary communication system with an asymmetric transmitter,
bits 0 and 1 are generated with...
For a digital communication system, (i) if the energy per bit is 12 dB and the...
For a digital communication system, (i) if the energy per bit is 12 dB and the noise level is 8 dB, what is the spectral efficiency? (ii) If the channel bandwidth increases, what will happen to the spectral efficiency and Eb/N0. (iii) In a binary communication system with an asymmetric transmitter, bits 0 and 1 are generated with 0.4 and 0.6 probabilities respectively. The receiver receives th e bit stream of data through a noisy channel with the noise mean...
Information bits {0,1} are sent over binary symmetric communication channel with conditional probabilities P(YX) as shown...
Information bits {0,1} are sent over binary symmetric communication channel with conditional probabilities P(YX) as shown below. The priory probabilities of 0 and 1 are P(X=0)=0.3, P(X=1)=0.7. The error probability {=0.2. transmitter X 0 1-€ receiver Y 0 ៩ w 1-€ a) If 1 is transmitted, what are the probabilities of receiving 0 and 1? P(Y=0|X=1) and P(Y=1X=1) b) If 0 is received, what are the probabilities that 0 and 1 information bit is transmitted? P(X=0 Y=0) and P(X=1 Y=0)
(2) In binary communication system, we send "0s and ""s and due to noise and channel distortion r...
(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...
3. (40 points) A binary communication system transmits signals s (0) (i = 1, 2). The...
3. (40 points) A binary communication system transmits signals s (0) (i = 1, 2). The receiver samples the received signal r(t) = s(t)+ n(t) at T and obtain the decision statistic r =r(T) = S(T) + n(T) = a, un, where the signal component is either a = + A or a, = -A with A >0 and n is the noise component. Assume that s (6) and s(l) are equally likely to be transmitted and the decision threshold...
Prob.4 A digital transmission system sends strings of binary (0 or 1) bits through the channel...
Prob.4 A digital transmission system sends strings of binary (0 or 1) bits through the channel to the receiver. Assume that the probability of a bit error in the channel is 10-2 and that a string of 1000 bits is transmitted (a) Calculate the probability that more than three bit errors will occur in the 1000 transmissions (b) Use the Poisson approximation to calculate the probability that more than three bit errors wil occur in the 1000 transmissions.
Prob.4 A...
7. The input U of binary communication channel is either -2.5 or +2.5 representing bit values...
7. The input U of binary communication channel is either -2.5 or +2.5 representing bit values b = 0 and b = 1 respectively, where P(b = 1) = 0.75. The channel output is given by V = U+N where “channel noise” N is a continuous random variable whose pdf is a symmetric triangular function in the range (-3, +3). Assume that U and N are independent. The receiver decodes the channel output to produces a bit value b as...
5. A binary Z-channel is show in the figure. Assume the input is "0" with probability...
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...
Let us consider the binary digital communication system in which bit 1 is represented by the...
Let us consider the binary digital communication system in which bit 1 is represented by the waveform Acos(ωt) of bit duration T, where ω is the carrier radial frequency and A is the constant amplitude. On the hand, the bit 0 is represented by the following waveform instead (A/10)cos(ωt). During the transmission the channel has introduced the uniform random phase shift Φ and transmitted waveform is affected by zero-mean white Gaussian noise of variance σ2. To demodulate, we perform the...
binary phase shift key
The below 2-bit transmitter is used to emit equally likely messages over a channel thatis corrupted by AWGN with zero mean and two-sided PSD No/2 = 1 W/Hz. The BFSKmodulator uses the same orthonormal basis functions as those in the lower arms. Assumingthe input bit format is unipolar NRZ with amplitudes 5v and 0v for representing logic ‘1’and logic ‘0’ respectively.a) Write down the equations of the possible output signals.b) Sketch to scale the output signals in the signal space...
ission system sends a "0" bit by transmitting a zero volts signal, and a "1" 7...
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...
Information bits {0,1} are sent over binary symmetric communication channel with conditional probabilities P(YX) as shown below. The priory probabilities of 0 and 1 are P(X=0)=0.3, P(X=1)=0.7. The error probability {=0.2. transmitter X 0 1-€ receiver Y 0 ៩ w 1-€ a) If 1 is transmitted, what are the probabilities of receiving 0 and 1? P(Y=0|X=1) and P(Y=1X=1) b) If 0 is received, what are the probabilities that 0 and 1 information bit is transmitted? P(X=0 Y=0) and P(X=1 Y=0)
(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...
3. (40 points) A binary communication system transmits signals s (0) (i = 1, 2). The receiver samples the received signal r(t) = s(t)+ n(t) at T and obtain the decision statistic r =r(T) = S(T) + n(T) = a, un, where the signal component is either a = + A or a, = -A with A >0 and n is the noise component. Assume that s (6) and s(l) are equally likely to be transmitted and the decision threshold...
Prob.4 A digital transmission system sends strings of binary (0 or 1) bits through the channel to the receiver. Assume that the probability of a bit error in the channel is 10-2 and that a string of 1000 bits is transmitted (a) Calculate the probability that more than three bit errors will occur in the 1000 transmissions (b) Use the Poisson approximation to calculate the probability that more than three bit errors wil occur in the 1000 transmissions.
Prob.4 A...
7. The input U of binary communication channel is either -2.5 or +2.5 representing bit values b = 0 and b = 1 respectively, where P(b = 1) = 0.75. The channel output is given by V = U+N where “channel noise” N is a continuous random variable whose pdf is a symmetric triangular function in the range (-3, +3). Assume that U and N are independent. The receiver decodes the channel output to produces a bit value b as...
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...
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...
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