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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 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)
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...
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.
16. (10 points) Bipolar pulse signals, s(t) (i -1,2), of amplitude +1 V are received in...
16. (10 points) Bipolar pulse signals, s(t) (i -1,2), of amplitude +1 V are received in the presence of AWGN that has a variance of 0.1V2. Determine the optimum (minimum probability of error) detection threshold, yo, for matched filter detection if the a priori probabilities are: a) P(si) 0.5 b) P(si) 0.7 c) P(si) 0.2
+00 k-00 The signal z(t) received by a binary communication system can be expressed as z(t)...
+00 k-00 The signal z(t) received by a binary communication system can be expressed as z(t) = axpe(t – kT)+w(t) where ax = £1, an equally likely and independent binary sequence, and w(t) is white Gaussian noise with spectral density S(f)= N, /2. The pulse shape pe(t) is as shown below. a) Write down and sketch the noncausal matched filter impulse response. b) Without making any calculation, make a sketch of the expected filter output wave shape when the input...
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...
Help me please! Thank you!! 1. Consider the signal set in Figure 1 for binary data...
Help me please! Thank you!!
1. Consider the signal set in Figure 1 for binary data transmission over a channel disturbed by AWGN. The noise is zero-mean and has two-sided PSD No/2. As usual, si(t) is used for the transmission of bit "0" and s2(t) is for the transmission of bit 1." Furthermore, the two bits are equiprobable. Si CC) s2(t) .A 0 Figure 1: A binary signal set, considered in Problem 1 Find and draw an orthonormal basis {фі...
1. A 4-ary signal set is given as So(t)-0,0StsT SI(t)-A cos(oot), OStsT Si(t)A sin(oot) + A...
1. A 4-ary signal set is given as So(t)-0,0StsT SI(t)-A cos(oot), OStsT Si(t)A sin(oot) + A cos(oot), 0StsT Assume (oT = 2m for some integer n. The signals are transmitted over an AWGN with noise power spectral density = N-2. The receiver uses the ML decision rule (ie, he assumes all signals are equiprobable) Choose a suitable set of Orthonormal basis functions and find (and sketch) the geometric representation of this signal set (called signal constellation). Clearly identify the decisions...
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...
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)
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)
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.
16. (10 points) Bipolar pulse signals, s(t) (i -1,2), of amplitude +1 V are received in the presence of AWGN that has a variance of 0.1V2. Determine the optimum (minimum probability of error) detection threshold, yo, for matched filter detection if the a priori probabilities are: a) P(si) 0.5 b) P(si) 0.7 c) P(si) 0.2
+00 k-00 The signal z(t) received by a binary communication system can be expressed as z(t) = axpe(t – kT)+w(t) where ax = £1, an equally likely and independent binary sequence, and w(t) is white Gaussian noise with spectral density S(f)= N, /2. The pulse shape pe(t) is as shown below. a) Write down and sketch the noncausal matched filter impulse response. b) Without making any calculation, make a sketch of the expected filter output wave shape when the input...
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...
Help me please! Thank you!!
1. Consider the signal set in Figure 1 for binary data transmission over a channel disturbed by AWGN. The noise is zero-mean and has two-sided PSD No/2. As usual, si(t) is used for the transmission of bit "0" and s2(t) is for the transmission of bit 1." Furthermore, the two bits are equiprobable. Si CC) s2(t) .A 0 Figure 1: A binary signal set, considered in Problem 1 Find and draw an orthonormal basis {фі...
1. A 4-ary signal set is given as So(t)-0,0StsT SI(t)-A cos(oot), OStsT Si(t)A sin(oot) + A cos(oot), 0StsT Assume (oT = 2m for some integer n. The signals are transmitted over an AWGN with noise power spectral density = N-2. The receiver uses the ML decision rule (ie, he assumes all signals are equiprobable) Choose a suitable set of Orthonormal basis functions and find (and sketch) the geometric representation of this signal set (called signal constellation). Clearly identify the decisions...
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...
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