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Please derive the symbol error rate (SER) and bit error rate (BER) of a 16PAM modulation in AWGN ...
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.
Follow the discussion of binary ASK system in class, derive the symbol error rate of an...
Follow the discussion of binary ASK system in class, derive the symbol error rate of an M-ary ASK system with AWGN channel (noise PSD is No). The baseband symbols used are sm(t)- mA ? (t- a/2), m-0, i, , (M-1). You answer should be first in terms of A, M, and No. Then convert it to an answer in terms of Eb, M, and No
Find the probability of bit error, PB, for the coherent matched filter detection of the equally...
Find the probability of bit error, PB, for the coherent matched filter detection of the equally likely binary FSK signals s1(t)-0.5 Cos(2000? t) and s2 (t) = 0.5 Cos(2020? t), where the two-sided AWGN power spectral density is No2 = 0.0001. Assume that the symbol duration is T-0.01 sec.
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...
A bipolar binary signal, si(t), is a +1- or -1- V pulse during the interval (0, T). AWGN having two-sided power spectra...
A bipolar binary signal, si(t), is a +1- or -1- V pulse during the interval (0, T). AWGN having two-sided power spectral density of 0.005 W/Hz is added to the signal. If the received signal is detected with a matched filter, determine the maximum bit rate that can be sent with a bit error probability ofPB< 10
A bipolar binary signal, si(t), is a +1- or -1- V pulse during the interval (0, T). AWGN having two-sided power spectral density...
Problem 4 A base-band digital communication system using binary signals shown in the Figure for transmission...
Problem 4 A base-band digital communication system using binary signals shown in the Figure for transmission of two equiprob able messages. The transmitted signal is s(t), i e {1,2} and the recieved signal is r(t) s(t)+n(t), where nit) is the AWGN with power-spectral density No/2. 1. In a block diagram, give the precise specifications of the optimal receiver. What are the characteristics of the matched filter and the sampler and decision device? 2. Find the error probability of the optimal...
Problem 1: A baseband digital communication system employs the signals shown below (Figure 1) for transmission....
Problem 1: A baseband digital communication system employs the signals shown below (Figure 1) for transmission. The channel has no attenuation and the noise is AWGN with power-spectral density NO/2. The probability of transmitting sı(t) is twice that of sz(t). S1() T12 O TV2 T Figure 1 2 a) Find an appropriate orthonormal basis for the representation of the signals. 7 b) Plot the constellation diagram in term of average symbol power. c) Draw the decision regions assuming equally likely...
A BPSK signal is detected coherently in the presence of AWGN with double-sided power spectral density....
A BPSK signal is detected coherently in the presence of AWGN with double-sided power spectral density. The BPSK signal is given by; Signal: FE cos(wet), probability Pų for binary“1 ( - )" and Po for binary “O (+)”. Derive the overall average bit error probability in terms of Ep and y, where Ep is the average bit energy and y is the threshold value. (Show all steps and reasons)
Problem 2: In this problem we explore the power penalty involved in going to higher level signal ...
Problem 2: In this problem we explore the power penalty involved in going to higher level signal modulations, i.e. from QPSK to 16PSK. (a) Find the minimum distance between constellation points in 16PSK modulation as a function of signal energy Es. (b) Find aM and BM such that the symbol error probability of 16PSK in AWGN is approximately (c) Using your expression in part (b), find an approximation for the average symbol error probability of 16PSK in Rayleigh fading in...
A bit error probability of PB-10-3 is required for a system with a data rate of...
A bit error probability of PB-10-3 is required for a system with a data rate of 100 kbits/s to be transmitted over an AWGN channel using coherently detected MPSK modulation. The system bandwidth is 5OKHz. Assume that the pulse shape of the system is raised cosine with a roll-off factor of a-1 and that Gray code is used for symbol to bit assignment. a) What is the E/No is required for the specified PB? b) What Es/No is required?
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.
Follow the discussion of binary ASK system in class, derive the symbol error rate of an M-ary ASK system with AWGN channel (noise PSD is No). The baseband symbols used are sm(t)- mA ? (t- a/2), m-0, i, , (M-1). You answer should be first in terms of A, M, and No. Then convert it to an answer in terms of Eb, M, and No
Find the probability of bit error, PB, for the coherent matched filter detection of the equally likely binary FSK signals s1(t)-0.5 Cos(2000? t) and s2 (t) = 0.5 Cos(2020? t), where the two-sided AWGN power spectral density is No2 = 0.0001. Assume that the symbol duration is T-0.01 sec.
A bipolar binary signal, si(t), is a +1- or -1- V pulse during the interval (0, T). AWGN having two-sided power spectral density of 0.005 W/Hz is added to the signal. If the received signal is detected with a matched filter, determine the maximum bit rate that can be sent with a bit error probability ofPB< 10
A bipolar binary signal, si(t), is a +1- or -1- V pulse during the interval (0, T). AWGN having two-sided power spectral density...
Problem 4 A base-band digital communication system using binary signals shown in the Figure for transmission of two equiprob able messages. The transmitted signal is s(t), i e {1,2} and the recieved signal is r(t) s(t)+n(t), where nit) is the AWGN with power-spectral density No/2. 1. In a block diagram, give the precise specifications of the optimal receiver. What are the characteristics of the matched filter and the sampler and decision device? 2. Find the error probability of the optimal...
Problem 1: A baseband digital communication system employs the signals shown below (Figure 1) for transmission. The channel has no attenuation and the noise is AWGN with power-spectral density NO/2. The probability of transmitting sı(t) is twice that of sz(t). S1() T12 O TV2 T Figure 1 2 a) Find an appropriate orthonormal basis for the representation of the signals. 7 b) Plot the constellation diagram in term of average symbol power. c) Draw the decision regions assuming equally likely...
A BPSK signal is detected coherently in the presence of AWGN with double-sided power spectral density. The BPSK signal is given by; Signal: FE cos(wet), probability Pų for binary“1 ( - )" and Po for binary “O (+)”. Derive the overall average bit error probability in terms of Ep and y, where Ep is the average bit energy and y is the threshold value. (Show all steps and reasons)
Problem 2: In this problem we explore the power penalty involved in going to higher level signal modulations, i.e. from QPSK to 16PSK. (a) Find the minimum distance between constellation points in 16PSK modulation as a function of signal energy Es. (b) Find aM and BM such that the symbol error probability of 16PSK in AWGN is approximately (c) Using your expression in part (b), find an approximation for the average symbol error probability of 16PSK in Rayleigh fading in...
A bit error probability of PB-10-3 is required for a system with a data rate of 100 kbits/s to be transmitted over an AWGN channel using coherently detected MPSK modulation. The system bandwidth is 5OKHz. Assume that the pulse shape of the system is raised cosine with a roll-off factor of a-1 and that Gray code is used for symbol to bit assignment. a) What is the E/No is required for the specified PB? b) What Es/No is required?
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