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A Study of the Communication Channels and of Noise Sources

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communication channels and noise sources
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  The study of the communication channel and of noise sources I1.The block scheme in the case of “uniform random demo“:   UniformMuxMean& varGraph[.5 1/12]Expected value  The first device is uniform noise generator which generates uniformly distributed noise  between the lower and the upper bounds. The following device has at its output the running mean to 1 st  out-port and running variance to 2 nd  out-port. The third block has as output a constant(0.51/12) . The mux combines all the three input signals into larger vectors. The graphs for different values of the sampling time: sample time=0.1s sample time=1s sample time=5s. I2.The block scheme for “Gaussian random demo”:   MuxMean& stdGaussian[0 1]Expected value  The 1 st  block generates a Gaussian distributed noise with given mean and given variance. The mean is 0 and the variance is 1. The 2 nd  block has at its output the running mean to 1 st  out-port and running standard deviation to 2 nd  out-port. The 3 rd  block has as output a constant [0 1] . The mux combines all the three input signals into larger vectors. The graphs for different values of the sampling time:   sample time=0.1s sample time=1s sample time=5s I3.The block scheme for “uniform integer demo”:   Random intMuxMean& stdGraph  The first device generates integers randomly distributed in the range [0,M-1], where m is the M-ary number,(M=8). The 2 nd  block has at its output the running mean to 1 st  out- port and running standard deviation to 2 nd  out-port. The mux combines the two input signals into larger vectors. The graphs for different values of the sampling time: sample time=0.1s sample time=1s sample time=5s I4.The block scheme for “Poisson random demo”:   Poisson intPoisson intgeneratorMuxMean& varGraph1.1Expected value  The first device generates Poisson distributed random integers. The 2 nd  block has at its output the running mean to 1 st  out-port and running variant to 2 nd  out-port. The 3 rd  block has as output a constant 0.1 . The mux combines all the three input signals into larger vectors.  The graphs for different values of the sampling time: sample time=0.1s sample time=1s sample time=5s I5.The block scheme for “Rayleigh random demo”:   The mean of the Rayleigh noise is s*sqrt(pi/2).The variance of the Rayleigh noise is s^2*(2-pi/2)Assume the sigma value is s, then:RayleighMuxMean& varGraph[sqrt(pi/2), (2-pi/2)]Expected value  The first device generates Rayleigh distributed noise. The output vector size of this block is the same as the vector size of the seed (sigma=1). The 2 nd  block has at its output the running mean to 1 st  out-port and running variant to 2 nd  out-port. The 3 rd  block has as output a constant [sqrt(pi/2),2-pi/2]. The mux combines all the three input signals into larger vectors. The graphs for different values of the sampling time: sample time=0.1s sample time=1s sample time=5s I6.The block scheme for “rician   random demo”:    The mean value of the sqaure of the Rician noise output is 2+2K and the variance of the square of the Rician noise output is 2(2+4K)Assume the the sigma value is 1, the means for in-phase and quadrature are mI and mQ. The K-factor K=(mI^2+mQ^2)/2, then,Rician (m)Rician (K)MuxMean& varMean& varGraph[6 20]Expected value  The first block generates Rician distributed noise. The output vector size of this block is the same as the vector size of the seed (K=2, sigma=1). The block from bellow is similar having m=sqrt(2), sigma=1.The following blocks are multipliers or dividers. The other  blocks have at its output the running mean to 1 st  out-port and running variant to 2 nd  out-  port. The block ‘expected value’ has as output a constant [6 20]. The multiplexer combines all five input signals into larger signals. The graphs for different values of the sampling time: sample time=0.1s sample time=1s sample time=5s II.1 The block scheme of the “AWGN noise demo”   Rd wksp - read from workspace- read from a work space variable at sampling time point. S-QASK  –   passband S-QASK modulation  –   modulate the input signal using qadrature amplitude shift keyng modulation method with square constellation.
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