(a). Derive an expression for the bit error probability of BPSK in terms of Q function...
(a). Derive an expression for the bit error probability of BPSK in terms of Q function and Eb, No, given signals are transmitted with equal energy and equal probabilities.
Show the decision regions on the signal constellation diagram. (b) What is the BER (Bit Error Rate) for an Eb/No of 5 dB for BPSK
Homework Answers
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(a). Derive an expression for the bit error probability of BPSK
in terms of Q function...
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)
Please derive the symbol error rate (SER) and bit error rate (BER) of a 16PAM modulation in AWGN ...
Please derive the symbol error rate (SER) and bit error rate (BER) of a 16PAM modulation in AWGN channel using matched filter receiver, in terms of average symbol energy E, and power spectral density of the noise No/2.
Please derive the symbol error rate (SER) and bit error rate (BER) of a 16PAM modulation in AWGN channel using matched filter receiver, in terms of average symbol energy E, and power spectral density of the noise No/2.
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...
Consider a binary modulation scheme in which the transmitted signals are 81-0 and s2=A with prior...
Consider a binary modulation scheme in which the transmitted signals are 81-0 and s2=A with prior probabilities P the received signal is p and P2 1-p. These signals are sent over an AWGN channel and r=si + n for i = 1,2 where n is a Gaussian noise with zero mean and variance No/2. a) Determine the MAP decision regions for this signaling b) Express the error probability in terms of Q-functions.
Consider a binary modulation scheme in which the...
Derive and simulate the bit error probability of a BFSK system with non-coherent detection with Eb/N0...
Derive and simulate the bit error probability of a BFSK system with non-coherent detection with Eb/N0 = 0, 2, 4, 6, 8, 10 dB. Must be solved in MATLAB and the solution must contain the simulated, as well as the theoretical BERs. THE ANSWER MUST BE A MATLAB CODE.
digital communication
The 2-bit communication transmitter below is used to emit equally likely messages over AWGN channel with zero mean and two-sided PSD No/2 = 1 Watt/Hz. The inter-distance (in the signal space) between the signals of the BPSK modulator is 4 and the inter-distance between the signals of the OOK (ON-OFF Keying) modulator equals 2.a) Write down the equations of the possible output signals.b) Sketch to scale the output signals in signal space showing the bits assigned to each message point,...
The bit rate for a baseband signal is 1.544 Mb/s, and FEC at a code rate...
The bit rate for a baseband signal is 1.544 Mb/s, and FEC at a code rate of 7/8 is applied before the signal is used to modulate the carrier. Given that the system uses raisedcosine filtering with a rolloff factor of 0.2, determine the bandwidth required for: (a) BPSK, and (b) QPSK. Explain what is meant by coding gain as applied to error correcting coding. When FEC coding is used on a digital link, a coding gain of 3 dB...
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...
4.9. A system using matched filter detection of cqually likely BPSK signals, s(t) V2E Tcos o...
4.9. A system using matched filter detection of cqually likely BPSK signals, s(t) V2E Tcos o rand s2(1)-V2 E/T cos (oo t + π), operates in AwGN with a received E,N, of 6.8 dB. Assume that E{z(T) = ± VE (a) Find the minimum probability of bit error, PB, for this signal set and E,/No (b) If the decision threshold is γ= 0.1 VE, find PB. (c) The threshold of γ = 0.1 VE is optimum for a particular set...
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...
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)
Please derive the symbol error rate (SER) and bit error rate (BER) of a 16PAM modulation in AWGN channel using matched filter receiver, in terms of average symbol energy E, and power spectral density of the noise No/2.
Please derive the symbol error rate (SER) and bit error rate (BER) of a 16PAM modulation in AWGN channel using matched filter receiver, in terms of average symbol energy E, and power spectral density of the noise No/2.
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...
Consider a binary modulation scheme in which the transmitted signals are 81-0 and s2=A with prior probabilities P the received signal is p and P2 1-p. These signals are sent over an AWGN channel and r=si + n for i = 1,2 where n is a Gaussian noise with zero mean and variance No/2. a) Determine the MAP decision regions for this signaling b) Express the error probability in terms of Q-functions.
Consider a binary modulation scheme in which 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...
4.9. A system using matched filter detection of cqually likely BPSK signals, s(t) V2E Tcos o rand s2(1)-V2 E/T cos (oo t + π), operates in AwGN with a received E,N, of 6.8 dB. Assume that E{z(T) = ± VE (a) Find the minimum probability of bit error, PB, for this signal set and E,/No (b) If the decision threshold is γ= 0.1 VE, find PB. (c) The threshold of γ = 0.1 VE is optimum for a particular set...
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