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Write the transmitted signal of QPSK ofs(t) for i-1, 2, 3, 4, and 0 t 2) Explain why this modulation scheme is called QPSK 3) If the transmitted signals are sent over an AWGN channel, what is the opt...
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...
Two signals m1(t) and m2(t), both band-limited to 5000 Hz, are to be transmitted simultaneously over...
Two signals m1(t) and m2(t), both band-limited to 5000 Hz, are
to be transmitted simultaneously over a channel by the multiplexing
scheme shown in the following figure.The signal at point b is the
multiplexed signal, which now modulates a carrier of frequency
20,000 Hz. The modulated signal at point c is transmitted over a
channel.
4. [20 points] Two signals m(t) and m-(t), both band-limited to 5000 Hz, are to be transmitted simultaneously over a channel by the multiplexing scheme...
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...
2. The different types of modulation schemes have different distance between the transmitted signals. The distance...
2. The different types of modulation schemes have different distance between the transmitted signals. The distance for BPSK, QPSK, M-PSK, BFSK, and M-FSK is shown below. Modulation Scheme Minimum Distance between Constellation Points Bandwidth BPSK d=2./PT= 2/E B = 2f = 21 QPSK d=2/PTo = 2/E B = 2/3 = fo M-PSK d = 54€, sin? ) = 4.NE, sin? (75) B = 2f: = 2 16-QAM d = 2/0.4E BFSK d= 2E (Orthogonal BFSK) B = 45 M-FSK d...
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...
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...
Two signals m1(t) and m2(t), both band-limited to 5000 Hz, are
to be transmitted simultaneously over a channel by the multiplexing
scheme shown in the following figure.The signal at point b is the
multiplexed signal, which now modulates a carrier of frequency
20,000 Hz. The modulated signal at point c is transmitted over a
channel.
4. [20 points] Two signals m(t) and m-(t), both band-limited to 5000 Hz, are to be transmitted simultaneously over a channel by the multiplexing scheme...
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...
2. The different types of modulation schemes have different distance between the transmitted signals. The distance for BPSK, QPSK, M-PSK, BFSK, and M-FSK is shown below. Modulation Scheme Minimum Distance between Constellation Points Bandwidth BPSK d=2./PT= 2/E B = 2f = 21 QPSK d=2/PTo = 2/E B = 2/3 = fo M-PSK d = 54€, sin? ) = 4.NE, sin? (75) B = 2f: = 2 16-QAM d = 2/0.4E BFSK d= 2E (Orthogonal BFSK) B = 45 M-FSK d...
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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