The answer is pb = 1/(2+ average snr : beta bar)
but how to proof? please let me know in detail
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The answer is pb = 1/(2+ average snr : beta bar) but how to proof? please...
Consider a noisy AWGN (Additive White Gaussian Noise) communication channel with a bandwidth of 12 KHz....
Consider a noisy AWGN (Additive White Gaussian Noise) communication channel with a bandwidth of 12 KHz. Is it possible to transmit reliably over this channel at a bit rate of 150 Kbps with an SNR (Signal to Noise Ratio) of 35 dB? Justify your answer
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)...
A binary PSK signal in the presence of additive white Gaussian noise (AWGN) is detected by...
A binary PSK signal in the presence of additive white Gaussian noise (AWGN) is detected by a correlation receiver. Assuming that the carrier recovery circuit has a phase error of 8, show that the bit error rate is given by: Ρ. = (1/2)erfe[VE, Ncoς ε] Where E, is the bit energy of the signal and N, is the power spectral density of the AWGN. Assume that the symbols occur with equal probability.
Q2 Fig.2 is a simplified diagram of a WCDMA system downlink signalling 20 construction, in which different channel...
Q2 Fig.2 is a simplified diagram of a WCDMA system downlink signalling 20 construction, in which different channelization code CensF are used to PAPER CODE: EEE326/17-18/S2/ exam Page 2 of 6 separate different physical channels in downlink whilst the scrambling code Sa is used to differentiate the BSs. Each physical channel is assigned to different user with a gain factor Gi. Assume QPSK modulation is employed for digital transmission and the spectrum is 3.84 MHz. One user has a data...
Please help me these questions of "Principles of Communications" subject. Thanks in advance! Problem 2: PCM syst...
Please help me these questions of "Principles of Communications"
subject. Thanks in advance!
Problem 2: PCM system (40 points)coo h Consider a polar binary PCM system with number of bits per sample v 8 and the 4 KHz. Assumed that the channel is AWGN. voice bandwidth a) Assumed that one voice signal is transmitted using above PCM system, find the bit rate at the output of PCM transmitter and the minimum channel bandwidth. b) Assumed that 24 voice signals are...
Exercise 12: An ASK system employs the following signals in the presence of Additive white noise with a PSD of n/2, t)A c 2f t) for binary 1 So(t)-BA cos(2πfet), for binary 0 where 0< B<1. Deri...
Exercise 12: An ASK system employs the following signals in the presence of Additive white noise with a PSD of n/2, t)A c 2f t) for binary 1 So(t)-BA cos(2πfet), for binary 0 where 0< B<1. Derive the probability of error Pe assuming that the binary signals for 1 and 0 occur with equal probability. Hint: Find the average energy per bit Eb
Exercise 12: An ASK system employs the following signals in the presence of Additive white noise with...
Question 4: a) Given the following received signal z vAS b+w where w is the white...
Question 4: a) Given the following received signal z vAS b+w where w is the white zero-mean Gaussian noise with variance of σ,a No/2 and b is the data symbol (b E {-1, + 1). Assume that No 0.5 and that the two symbols +1 are equally likely. Assuming that the maximum likelihood (ML) decision rule is used, determine Eb to achieve the bit error probability of P 0.01 (the Q-function table is given at the end of this examination...
A bipolar baseband binary signal has rectangular pulse level of +2 V or -2 V and...
A bipolar baseband binary signal has rectangular pulse level of +2 V or -2 V and bit duration of T. Additive white Gaussian noise with power spectral density No/2-10" Watts/z is added to it. Find the maximum bit rate that can be transmitted with a bit error probability of P 1?? using the following table of the Q function. Note: pa o 2E 2.33.1 374.2 0.01 0.0010.0001 0.00001 Q(x)
Consider a binary communication system that transmits information using the pulse g(t) = A[−u(t) + 2u(t...
Consider a binary communication system that transmits information using the pulse g(t) = A[−u(t) + 2u(t − T /2) − u(t − T )] according to the mapping rule “0′′ → −g(t) “1′′ → +g(t) The “0”s and “1”s are transmitted with equal probability, and the channel is an AWGN channel, with a two-sided noise power spectral density of No/2 watts/Hz. a) Determine and sketch the filter h(t) that is matched to g(t). b) Determine and sketch the overall pulse...
For the questions (e), I do not know how to calculate the threshold if the P(IN=0) and P(IN=1) ar...
For the questions (e), I do not know how to calculate the
threshold if the P(IN=0) and P(IN=1) are different...
Thank you!
Given that the probability density function of the additive channel noise is as follows N (n) 0.5 l 0 The channel response to a bit input is the sum of the response to the input and noise. Without noise, the responses to bit"" and bit "1" are 0V and 1V, respectively. Decoding the channel output is done by...
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)...
A binary PSK signal in the presence of additive white Gaussian noise (AWGN) is detected by a correlation receiver. Assuming that the carrier recovery circuit has a phase error of 8, show that the bit error rate is given by: Ρ. = (1/2)erfe[VE, Ncoς ε] Where E, is the bit energy of the signal and N, is the power spectral density of the AWGN. Assume that the symbols occur with equal probability.
Q2 Fig.2 is a simplified diagram of a WCDMA system downlink signalling 20 construction, in which different channelization code CensF are used to PAPER CODE: EEE326/17-18/S2/ exam Page 2 of 6 separate different physical channels in downlink whilst the scrambling code Sa is used to differentiate the BSs. Each physical channel is assigned to different user with a gain factor Gi. Assume QPSK modulation is employed for digital transmission and the spectrum is 3.84 MHz. One user has a data...
Please help me these questions of "Principles of Communications"
subject. Thanks in advance!
Problem 2: PCM system (40 points)coo h Consider a polar binary PCM system with number of bits per sample v 8 and the 4 KHz. Assumed that the channel is AWGN. voice bandwidth a) Assumed that one voice signal is transmitted using above PCM system, find the bit rate at the output of PCM transmitter and the minimum channel bandwidth. b) Assumed that 24 voice signals are...
Exercise 12: An ASK system employs the following signals in the presence of Additive white noise with a PSD of n/2, t)A c 2f t) for binary 1 So(t)-BA cos(2πfet), for binary 0 where 0< B<1. Derive the probability of error Pe assuming that the binary signals for 1 and 0 occur with equal probability. Hint: Find the average energy per bit Eb
Exercise 12: An ASK system employs the following signals in the presence of Additive white noise with...
Question 4: a) Given the following received signal z vAS b+w where w is the white zero-mean Gaussian noise with variance of σ,a No/2 and b is the data symbol (b E {-1, + 1). Assume that No 0.5 and that the two symbols +1 are equally likely. Assuming that the maximum likelihood (ML) decision rule is used, determine Eb to achieve the bit error probability of P 0.01 (the Q-function table is given at the end of this examination...
A bipolar baseband binary signal has rectangular pulse level of +2 V or -2 V and bit duration of T. Additive white Gaussian noise with power spectral density No/2-10" Watts/z is added to it. Find the maximum bit rate that can be transmitted with a bit error probability of P 1?? using the following table of the Q function. Note: pa o 2E 2.33.1 374.2 0.01 0.0010.0001 0.00001 Q(x)
For the questions (e), I do not know how to calculate the
threshold if the P(IN=0) and P(IN=1) are different...
Thank you!
Given that the probability density function of the additive channel noise is as follows N (n) 0.5 l 0 The channel response to a bit input is the sum of the response to the input and noise. Without noise, the responses to bit"" and bit "1" are 0V and 1V, respectively. Decoding the channel output is done by...
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