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 p(t) = g(t) ∗ h(t) for the filter you found in part (a), labeling all important points.
c) Determine the pulse energy, E, and the energy per bit, Eb.
d) What is the probability of bit error in terms of Eb/No?
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Consider a binary communication system that transmits
information using the pulse g(t) = A[−u(t) + 2u(t...
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...
9.1-1 In a baseband binary transmission, binary digits are transmitted by using A p(t) 0t<T -A...
9.1-1 In a baseband binary transmission, binary digits are transmitted by using A p(t) 0t<T -A p(t) 0t< Th sending 1 sending 0 The bit duration is Th second, and the pulse shape is 2t p(t) = 1 - Ть 0 tT Here data bits 0 and 1 are equally likely. The channel noise is AWGN with power spectrum N/2. (a) Find the optimum receiver filter h(t) for sampling instant tm = Th and sketch h(t) in the time domain....
Tal communication system transmits binary PSK data using pulses pit) and -p). sin(x/T) (mV) for t...
tal communication system transmits binary PSK data using pulses pit) and -p). sin(x/T) (mV) for t in [O,T) 2 of 2 and 0 otherwise (shown below). Suppose thai 10+last two digits of your WSU access ID number, i.e. if your last three digits of your ID number is 12, then A-22 (mV). T-10 (. and the AGWN power spectral density No/2-10- WH 0 (a) (10 pts) Find the bit energy-to-noise ratio Eb/No (b) (4 pts) Find the probability of error...
+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 a matched filter receiver for a binary communication system where a binary '1' is represented by a pulse s() as shown below and a binary 0' is represented by st Consider the...
Consider a matched filter receiver for a binary communication system where a binary '1' is represented by a pulse s() as shown below and a binary 0' is represented by st Consider the case when there is no noise, i.e, n(t)0 1. Determine and sketch the output s,() of the matched filter due to the input s(1) and - s(t), respectively 2. What is the sample value of so( atT where T is the pulse duration? 3. Why is it...
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...
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 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)
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...
Problem 2 Consider a general QAM scheme with transmitted symbol s(t) R { pulse shape p()71(7,/2)....
Problem 2 Consider a general QAM scheme with transmitted symbol s(t) R { pulse shape p()71(7,/2). a(n) Apr(t - nT) exp (j2 fet)}, where the t-T./2 Let the constellation be a(n)e {2,-2,2j,-2j,0. 1. What is the appropriate matched filter to apply for this signal. Draw the optimum receiver 2. What is the average energy of the constellation, i.., E,? 3. Assume the the received signal is r(t)= s(t) +n(t), where n(t) is AWGN with variance 1. Find the error probability...
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...
9.1-1 In a baseband binary transmission, binary digits are transmitted by using A p(t) 0t<T -A p(t) 0t< Th sending 1 sending 0 The bit duration is Th second, and the pulse shape is 2t p(t) = 1 - Ть 0 tT Here data bits 0 and 1 are equally likely. The channel noise is AWGN with power spectrum N/2. (a) Find the optimum receiver filter h(t) for sampling instant tm = Th and sketch h(t) in the time domain....
tal communication system transmits binary PSK data using pulses pit) and -p). sin(x/T) (mV) for t in [O,T) 2 of 2 and 0 otherwise (shown below). Suppose thai 10+last two digits of your WSU access ID number, i.e. if your last three digits of your ID number is 12, then A-22 (mV). T-10 (. and the AGWN power spectral density No/2-10- WH 0 (a) (10 pts) Find the bit energy-to-noise ratio Eb/No (b) (4 pts) Find the probability of error...
+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 a matched filter receiver for a binary communication system where a binary '1' is represented by a pulse s() as shown below and a binary 0' is represented by st Consider the case when there is no noise, i.e, n(t)0 1. Determine and sketch the output s,() of the matched filter due to the input s(1) and - s(t), respectively 2. What is the sample value of so( atT where T is the pulse duration? 3. Why is it...
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...
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 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)
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...
Problem 2 Consider a general QAM scheme with transmitted symbol s(t) R { pulse shape p()71(7,/2). a(n) Apr(t - nT) exp (j2 fet)}, where the t-T./2 Let the constellation be a(n)e {2,-2,2j,-2j,0. 1. What is the appropriate matched filter to apply for this signal. Draw the optimum receiver 2. What is the average energy of the constellation, i.., E,? 3. Assume the the received signal is r(t)= s(t) +n(t), where n(t) is AWGN with variance 1. Find the error probability...
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