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12. (5 points) An equally likely RZ binary pulses are coherently detected over a Gaussian channel...
3.14. Consider that NRZ binary pulses are transmitted along a cable that attenuates signal power by...
3.14. Consider that NRZ binary pulses are transmitted along a cable that attenuates signal power by 3 dB (from transmitter to receiver). The pulses are coherently de noise w e. tected at the receiver, and the data rate is 56 kbit/s. Assume Gaussian no N 10 Watt Hz. What is the minimum amount of power needed at the trans in order to maintain a bit-error probability of PB 10-32 with
Suppose a binary message is transmitted through a noisy channel. The transmitted signal S is equally...
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...
2. A baseband digital transmission system sends rectangular pulses of amplitude +5 or -5 through a...
2. A baseband digital transmission system sends rectangular pulses of amplitude +5 or -5 through a channel at a rate of 2400 bps. Given a noise power spectral density of No 10-3 W/Hz, What would probability of error in sending a bit be? What would the maximum bit rate be if the probability of error must be less than 10 a. b.
Consider additive white Gaussian noise with a double-sided noise power spectral density (PSD) 12-90 dBm/Hz 1E-12 W/Hz....
Consider additive white Gaussian noise with a double-sided noise power spectral density (PSD) 12-90 dBm/Hz 1E-12 W/Hz. This noise corrupts a baseband polar NRZ signal with rectangular pulses, like that 1 mV and the pulse duration is Tb such that the symbol rate is Rb 1/Tb. Since this is binary signaling, the symbol rate equals the bit rate of the incoming baseband pulse train: B Rt. The signal is then sampled at the center of the noisy shown in the...
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)
6. The following expression is for an FM signal for transmitting the message signal m(t) rt)...
6. The following expression is for an FM signal for transmitting the message signal m(t) rt) across a channel with additive white Gaussian noise that has a power spectral density of n/2 5 x 1 0-6 W/Hz r(t) 7cos [10 t (a) (5 points) Calculate the output SNR (in dB) of the FM system. 6sin (4000Tt) (b) (5 points) The message signal can instead be transmitted using the Frequency- Shift Keying (FSK) digital system that consist of equally-likely pulses si(t)...
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...
8. There are three urns. Urnl contains 2 white and 3 black marbles, Urn2 contains 3...
8. There are three urns. Urnl contains 2 white and 3 black marbles, Urn2 contains 3 white and 2 black marbles, and Urn3 contains 1 white and 4 black marbles. First, the urn is selected equally likely, than a ball is drawn from the urn. a) We know that a white marble is chosen. What is the probability that the marble came from Urn2? b) We know that a black marble is chosen. What is the probability that the marble...
3.14. Consider that NRZ binary pulses are transmitted along a cable that attenuates signal power by 3 dB (from transmitter to receiver). The pulses are coherently de noise w e. tected at the receiver, and the data rate is 56 kbit/s. Assume Gaussian no N 10 Watt Hz. What is the minimum amount of power needed at the trans in order to maintain a bit-error probability of PB 10-32 with
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...
2. A baseband digital transmission system sends rectangular pulses of amplitude +5 or -5 through a channel at a rate of 2400 bps. Given a noise power spectral density of No 10-3 W/Hz, What would probability of error in sending a bit be? What would the maximum bit rate be if the probability of error must be less than 10 a. b.
Consider additive white Gaussian noise with a double-sided noise power spectral density (PSD) 12-90 dBm/Hz 1E-12 W/Hz. This noise corrupts a baseband polar NRZ signal with rectangular pulses, like that 1 mV and the pulse duration is Tb such that the symbol rate is Rb 1/Tb. Since this is binary signaling, the symbol rate equals the bit rate of the incoming baseband pulse train: B Rt. The signal is then sampled at the center of the noisy shown in the...
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)
6. The following expression is for an FM signal for transmitting the message signal m(t) rt) across a channel with additive white Gaussian noise that has a power spectral density of n/2 5 x 1 0-6 W/Hz r(t) 7cos [10 t (a) (5 points) Calculate the output SNR (in dB) of the FM system. 6sin (4000Tt) (b) (5 points) The message signal can instead be transmitted using the Frequency- Shift Keying (FSK) digital system that consist of equally-likely pulses si(t)...
8. There are three urns. Urnl contains 2 white and 3 black marbles, Urn2 contains 3 white and 2 black marbles, and Urn3 contains 1 white and 4 black marbles. First, the urn is selected equally likely, than a ball is drawn from the urn. a) We know that a white marble is chosen. What is the probability that the marble came from Urn2? b) We know that a black marble is chosen. What is the probability that the marble...
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