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Channel with noise power spectral density Sn (f) 1. No/2 a. Compute the signal to noise ratio (Eb...
Q1. A DSB-SC signal is transmitted over a noisy channel with power spectral density of noise...
Q1. A DSB-SC signal is transmitted over a noisy channel with power spectral density of noise given as, 0, otherwise with B-200 kHz and N 10W Hz. The message bandwidth is 10 kHz and its average power is 10 W. Assume A,-1, 100kHz, and the channel attenuates signal power by a factor of 1000 (-30 dB). Assume that a suitable band-pass filter is used at the receiver to limit out-of-band noise. (a) Determine the average signal power at the receiver...
+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...
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...
8 8.6-4 For a DSB-SC system with a channel noise PSD of Sn() 10-12 and a baseband signal of bandw...
8 8.6-4 For a DSB-SC system with a channel noise PSD of Sn() 10-12 and a baseband signal of bandwidth 5 kHz, the receiver output SNR is required to be at least 47 dB. The receiver is as shown in Fig. 8.30. (a) What must be the signal power Si received at the receiver input? (b) What is the receiver output noise power No? (c) What is the minimum transmitted power Sr if the channel transfer function is He)10-3 over...
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 4 Let X(t), a continuous-time white noise process with zero mean and power spectral density equal to 2, be the...
Problem 4 Let X(t), a continuous-time white noise process with zero mean and power spectral density equal to 2, be the input to an LTI system with impulse response h(t)- 0 otherwise of Y (t). Sketch the autocorrelation function of Y(t)
Problem 4 Let X(t), a continuous-time white noise process with zero mean and power spectral density equal to 2, be the input to an LTI system with impulse response h(t)- 0 otherwise of Y (t). Sketch the autocorrelation function...
Problem 1: A baseband digital communication system employs the signals shown below (Figure 1) for transmission....
Problem 1: A baseband digital communication system employs the signals shown below (Figure 1) for transmission. The channel has no attenuation and the noise is AWGN with power-spectral density NO/2. The probability of transmitting sı(t) is twice that of sz(t). S1() T12 O TV2 T Figure 1 2 a) Find an appropriate orthonormal basis for the representation of the signals. 7 b) Plot the constellation diagram in term of average symbol power. c) Draw the decision regions assuming equally likely...
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...
Q1. A DSB-SC signal is transmitted over a noisy channel with power spectral density of noise given as, 0, otherwise with B-200 kHz and N 10W Hz. The message bandwidth is 10 kHz and its average power is 10 W. Assume A,-1, 100kHz, and the channel attenuates signal power by a factor of 1000 (-30 dB). Assume that a suitable band-pass filter is used at the receiver to limit out-of-band noise. (a) Determine the average signal power at the receiver...
+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...
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...
8 8.6-4 For a DSB-SC system with a channel noise PSD of Sn() 10-12 and a baseband signal of bandwidth 5 kHz, the receiver output SNR is required to be at least 47 dB. The receiver is as shown in Fig. 8.30. (a) What must be the signal power Si received at the receiver input? (b) What is the receiver output noise power No? (c) What is the minimum transmitted power Sr if the channel transfer function is He)10-3 over...
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 4 Let X(t), a continuous-time white noise process with zero mean and power spectral density equal to 2, be the input to an LTI system with impulse response h(t)- 0 otherwise of Y (t). Sketch the autocorrelation function of Y(t)
Problem 4 Let X(t), a continuous-time white noise process with zero mean and power spectral density equal to 2, be the input to an LTI system with impulse response h(t)- 0 otherwise of Y (t). Sketch the autocorrelation function...
Problem 1: A baseband digital communication system employs the signals shown below (Figure 1) for transmission. The channel has no attenuation and the noise is AWGN with power-spectral density NO/2. The probability of transmitting sı(t) is twice that of sz(t). S1() T12 O TV2 T Figure 1 2 a) Find an appropriate orthonormal basis for the representation of the signals. 7 b) Plot the constellation diagram in term of average symbol power. c) Draw the decision regions assuming equally likely...
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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