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Consider a binary modulation scheme in which the transmitted signals are 81-0 and s2=A with prior...
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...
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 optimum receiver to minimize the probability of error in decoding the symbols?
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...
Please With recognizable hand writing. Thank you. Question 2. (40 Points) Consider a BPSK modulation with...
Please With recognizable hand writing. Thank you.
Question 2. (40 Points) Consider a BPSK modulation with 2 signals: 2 where ??(t) and ?1 (t) for t E 10, T,l form a set of orthonormal basis functions. Signals so(t) and si(t) are equiprobable. We suppose that the transmission channel introduces an additive white Gaussian noise n(t). Thus, the received signal is given by r(t) s(t)+n(t), where the additive white Gaussian noise has power spectral density No/2. toT Y-X+N rit) a(t)+n(t) Figure...
1. Let us consider a digital binary communication system, in which the fol- lowing signal s1(t)...
1. Let us consider a digital binary communication system, in which the fol- lowing signal s1(t) is transmitted for '0' and signal s2(t) is transmitted for '1' and these two signals are equal probability P('O' is transmitted) P(1' is transmitted). For these two signals and their correspond- ing basis functions, answer the following questions [40 points -2 0t<0.5; 0<t<0.5 -1 0.5 <t< 1 2 s2(t) -1 0.5<t1. s1(t) otherwise 0 otherwise 0 0<t<0.5; -1 0.5 <t1. otherwise 1 10t<1 0...
3. (30 points) A binary communication system transmits signals s(t) (i 1,2). The receiver samples the received signal r(t) s(t) + n(t) at T and obtain the decision statistic r(T) S (T) n(T) a + n...
3. (30 points) A binary communication system transmits signals s(t) (i 1,2). The receiver samples the received signal r(t) s(t) + n(t) at T and obtain the decision statistic r(T) S (T) n(T) a + n, where the signal component is either an +A or a2-A with A >0 and n is the noise component. Assume that s1 (t) and s2(t) are equally likely to be transmitted and the decision threshold is chosen as zero. If A 1 and 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...
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 digital communication system uses the signals si(t) and s2(t) shown in Fig. 1 to t equally like...
A digital communication system uses the signals si(t) and s2(t) shown in Fig. 1 to t equally likely bits '0' and '1', respectively. The signaling duration is 4 seconds. The receiver uses a filter h(t) shown in Fig. 2 s1 (t) s2(t) 0 Figure 1: Set of signals in Problem 1 h(t) 0 Figure 2: h(t) in Problem 1 (a) Determine the parameter ri for this system. HINT: Remember that ri is equal to this convolution 81(t) * h(t) evaluated...
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...
4. An information source generates one of 4 possible levels namely -4, 0, 4, and 8 with equal probabilities. These levels are transmitted over a channel which adds Gaussian noise with zero means and...
4. An information source generates one of 4 possible levels namely -4, 0, 4, and 8 with equal probabilities. These levels are transmitted over a channel which adds Gaussian noise with zero means and variance of 1. The noise is independent of the signal. The receiver employs a ML decision rule. Clearly identify, the decision rules at the receiver and calculate the probability of error. -4 4
4. An information source generates one of 4 possible levels namely -4, 0,...
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...
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 optimum receiver to minimize the probability of error in decoding the symbols?
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...
Please With recognizable hand writing. Thank you.
Question 2. (40 Points) Consider a BPSK modulation with 2 signals: 2 where ??(t) and ?1 (t) for t E 10, T,l form a set of orthonormal basis functions. Signals so(t) and si(t) are equiprobable. We suppose that the transmission channel introduces an additive white Gaussian noise n(t). Thus, the received signal is given by r(t) s(t)+n(t), where the additive white Gaussian noise has power spectral density No/2. toT Y-X+N rit) a(t)+n(t) Figure...
1. Let us consider a digital binary communication system, in which the fol- lowing signal s1(t) is transmitted for '0' and signal s2(t) is transmitted for '1' and these two signals are equal probability P('O' is transmitted) P(1' is transmitted). For these two signals and their correspond- ing basis functions, answer the following questions [40 points -2 0t<0.5; 0<t<0.5 -1 0.5 <t< 1 2 s2(t) -1 0.5<t1. s1(t) otherwise 0 otherwise 0 0<t<0.5; -1 0.5 <t1. otherwise 1 10t<1 0...
3. (30 points) A binary communication system transmits signals s(t) (i 1,2). The receiver samples the received signal r(t) s(t) + n(t) at T and obtain the decision statistic r(T) S (T) n(T) a + n, where the signal component is either an +A or a2-A with A >0 and n is the noise component. Assume that s1 (t) and s2(t) are equally likely to be transmitted and the decision threshold is chosen as zero. If A 1 and 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...
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 digital communication system uses the signals si(t) and s2(t) shown in Fig. 1 to t equally likely bits '0' and '1', respectively. The signaling duration is 4 seconds. The receiver uses a filter h(t) shown in Fig. 2 s1 (t) s2(t) 0 Figure 1: Set of signals in Problem 1 h(t) 0 Figure 2: h(t) in Problem 1 (a) Determine the parameter ri for this system. HINT: Remember that ri is equal to this convolution 81(t) * h(t) evaluated...
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...
4. An information source generates one of 4 possible levels namely -4, 0, 4, and 8 with equal probabilities. These levels are transmitted over a channel which adds Gaussian noise with zero means and variance of 1. The noise is independent of the signal. The receiver employs a ML decision rule. Clearly identify, the decision rules at the receiver and calculate the probability of error. -4 4
4. An information source generates one of 4 possible levels namely -4, 0,...
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...
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