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9. Random binary signal x(t) transmit one digit every Tb seconds. A binary bit '1, is transmitted...
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....
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)
Data are sent over a channel using 8-QAM with the signal constellation shown below. The pulses are rectangular, and a new pulse is generated every T seconds. 2.A Re -2A 2.A -2.4 How many bits of info...
Data are sent over a channel using 8-QAM with the signal constellation shown below. The pulses are rectangular, and a new pulse is generated every T seconds. 2.A Re -2A 2.A -2.4 How many bits of information are conveyed on each pulse transmission? a) b) Find the average power in the transmitted signal g(t) in terms of A
Data are sent over a channel using 8-QAM with the signal constellation shown below. The pulses are rectangular, and a new pulse...
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...
Consider a random process where rectangular pulses of width 1 are separated in time by intervals...
Consider a random process where rectangular pulses of width 1 are separated in time by intervals of T seconds The amplitude of each pulse is determined independently and with equal probability to be either 1 0, or -1.Pulses begin at periodic time instants to t nT where to is a random variable that is uniformly distributed over the range O to T. Asample function is shown below. to -T to+ T to +37 to to + 27 to + 4T...
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...
Problem 2 (Spectrum of a rectangular signal): In this problem, the amplitude spectrum of the signal 1 or Ot 2 ms x(t)- 0 otherwise is to be analysed (b) Numerical calculation of the spectrum: (i) Us...
Problem 2 (Spectrum of a rectangular signal): In this problem, the amplitude spectrum of the signal 1 or Ot 2 ms x(t)- 0 otherwise is to be analysed (b) Numerical calculation of the spectrum: (i) Use Matlab to generate and plot a vector containing the sample values of the rectangular signal defined in (2) sampled at f 8kHz. Choose the number N of sample values so that it is a power of 2 and that the signal duration is at...
2. (30 points) Let X(t) be a wide-sense stationary (WSS) random signal with power spectral density...
2. (30 points) Let X(t) be a wide-sense stationary (WSS) random signal with power spectral density S(f) = 1011(f/200), and let y(t) be a random process defined by Y(t) = 10 cos(2000nt + 1) where is a uniformly distributed random variable in the interval [ 027]. Assume that X(t) and Y(t) are independent. (a) Derive the mean and autocorrelation function of Y(t). Is Y(t) a WSS process? Why? (b) Define a random signal Z(t) = X(t)Y(t). Determine and sketch the...
nice handwriting please. Question 2 (30 Points) Consider a random process where rectangular pulses of width...
nice handwriting please.
Question 2 (30 Points) Consider a random process where rectangular pulses of width T, are separated in time by intervals of T seconds. The amplitude of each pulse is determined independently and with equal probability to be either 1, 0, or -1. Pulses begin at periodic time instants to tnt where to is a random variable that is uniformly distributed over the range 0 to T. A sample function is shown below. X(t). T; to-T to +...
process x(t) Question4 (15 points): A random telegraph signal is a taking the values +1 and...
process x(t) Question4 (15 points): A random telegraph signal is a taking the values +1 and -1 as f+1 1-1 wheret,is a set of Poisson points with average density a) Determine the mean and autocorrelation of x(t). b) Judge whether x(t) is Wide Sense Stationary, why? c) Determine the Power Spectral Density S(w) of x(t)
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....
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)
Data are sent over a channel using 8-QAM with the signal constellation shown below. The pulses are rectangular, and a new pulse is generated every T seconds. 2.A Re -2A 2.A -2.4 How many bits of information are conveyed on each pulse transmission? a) b) Find the average power in the transmitted signal g(t) in terms of A
Data are sent over a channel using 8-QAM with the signal constellation shown below. The pulses are rectangular, and a new pulse...
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...
Consider a random process where rectangular pulses of width 1 are separated in time by intervals of T seconds The amplitude of each pulse is determined independently and with equal probability to be either 1 0, or -1.Pulses begin at periodic time instants to t nT where to is a random variable that is uniformly distributed over the range O to T. Asample function is shown below. to -T to+ T to +37 to to + 27 to + 4T...
Problem 2 (Spectrum of a rectangular signal): In this problem, the amplitude spectrum of the signal 1 or Ot 2 ms x(t)- 0 otherwise is to be analysed (b) Numerical calculation of the spectrum: (i) Use Matlab to generate and plot a vector containing the sample values of the rectangular signal defined in (2) sampled at f 8kHz. Choose the number N of sample values so that it is a power of 2 and that the signal duration is at...
2. (30 points) Let X(t) be a wide-sense stationary (WSS) random signal with power spectral density S(f) = 1011(f/200), and let y(t) be a random process defined by Y(t) = 10 cos(2000nt + 1) where is a uniformly distributed random variable in the interval [ 027]. Assume that X(t) and Y(t) are independent. (a) Derive the mean and autocorrelation function of Y(t). Is Y(t) a WSS process? Why? (b) Define a random signal Z(t) = X(t)Y(t). Determine and sketch the...
nice handwriting please.
Question 2 (30 Points) Consider a random process where rectangular pulses of width T, are separated in time by intervals of T seconds. The amplitude of each pulse is determined independently and with equal probability to be either 1, 0, or -1. Pulses begin at periodic time instants to tnt where to is a random variable that is uniformly distributed over the range 0 to T. A sample function is shown below. X(t). T; to-T to +...
process x(t) Question4 (15 points): A random telegraph signal is a taking the values +1 and -1 as f+1 1-1 wheret,is a set of Poisson points with average density a) Determine the mean and autocorrelation of x(t). b) Judge whether x(t) is Wide Sense Stationary, why? c) Determine the Power Spectral Density S(w) of x(t)
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