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4. A Manchester encoder maps a bit 1 into 10 and a zero 0 into 01. The signal waveforms corresponding to the Manchester...
ission system sends a "0" bit by transmitting a zero volts signal, and a "1" 7...
ission system sends a "0" bit by transmitting a zero volts signal, and a "1" 7 A binary bit bytransmitting +2 volts signal. The received signal is corrupted by noise and is givern by: Y-X+N, where X is the transmitted signal, and N is a noise voltage with double- exponential pdf given by; 0 1เ The receiver detects the transmitted signal by comparing Y to a threshold voltàge of +1 volts. If Y<+1 then the rcceiver decides that "U" is...
Let us consider the binary digital communication system in which bit 1 is represented by the...
Let us consider the binary digital communication system in which bit 1 is represented by the waveform Acos(ωt) of bit duration T, where ω is the carrier radial frequency and A is the constant amplitude. On the hand, the bit 0 is represented by the following waveform instead (A/10)cos(ωt). During the transmission the channel has introduced the uniform random phase shift Φ and transmitted waveform is affected by zero-mean white Gaussian noise of variance σ2. To demodulate, we perform the...
Bit Error Probability: Consider the following model for a digital communication system: r =√Es + ...
Bit Error Probability: Consider the following model for a digital communication system: r =√Es + n where s {-1 1) with equal probability, and n is additive white Gaussian noise with zero mean and variance 1, and E is the signal to noise ratio. The receiver decides s = +1 if r > 0, and decides s = -1, if r <0. Estimate the error probability using Monte Carlo simulations by generating many samples and making as many decisions for...
Suppose that we are given the following communication system described in Fig. 1 with the channel...
Suppose that we are given the following communication system described in Fig. 1 with the channel corrupted by an additive white Gaussian noise z with zero mean and variance 1 where the channel input.x is used for signal transmission to produce the channel output y,i.e., r- x . Then the channel is further passed through a hard limiter, i.e., sign detector described by Q2(r) in Fig.2 decisions 22(r) Figure 1. A channel with the input x and output r corrupted...
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...
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...
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...
Question 4: a) Given the following received signal z vAS b+w where w is the white...
Question 4: a) Given the following received signal z vAS b+w where w is the white zero-mean Gaussian noise with variance of σ,a No/2 and b is the data symbol (b E {-1, + 1). Assume that No 0.5 and that the two symbols +1 are equally likely. Assuming that the maximum likelihood (ML) decision rule is used, determine Eb to achieve the bit error probability of P 0.01 (the Q-function table is given at the end of this examination...
ission system sends a "0" bit by transmitting a zero volts signal, and a "1" 7 A binary bit bytransmitting +2 volts signal. The received signal is corrupted by noise and is givern by: Y-X+N, where X is the transmitted signal, and N is a noise voltage with double- exponential pdf given by; 0 1เ The receiver detects the transmitted signal by comparing Y to a threshold voltàge of +1 volts. If Y<+1 then the rcceiver decides that "U" is...
Suppose that we are given the following communication system described in Fig. 1 with the channel corrupted by an additive white Gaussian noise z with zero mean and variance 1 where the channel input.x is used for signal transmission to produce the channel output y,i.e., r- x . Then the channel is further passed through a hard limiter, i.e., sign detector described by Q2(r) in Fig.2 decisions 22(r) Figure 1. A channel with the input x and output r corrupted...
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...
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...
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...
Question 4: a) Given the following received signal z vAS b+w where w is the white zero-mean Gaussian noise with variance of σ,a No/2 and b is the data symbol (b E {-1, + 1). Assume that No 0.5 and that the two symbols +1 are equally likely. Assuming that the maximum likelihood (ML) decision rule is used, determine Eb to achieve the bit error probability of P 0.01 (the Q-function table is given at the end of this examination...
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