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a computer executes four instructions that are designated by the codewords 00 01 10 11assuming that the instructions
repeat the calculation in problem assuming that the input binary symbols 0 and 1 occur with probabilities 14 and 34
consider a binary symmetric channel characterized by the transition probability pplot the mutual information of the
consider a digital communication system that uses a repetition code for the channel encodingdecoding in particular each
the differential entropy of a continuous random variable x is defined by the integral of 566 similarly the differential
let x1nbspx2 frac14 xnnbspdenote the elements of a gaussian vector x the xi are independent with mean mi and variance
a continuous random variable x is constrained to a peak magnitude m that is -ma show that the differential entropy of x
demonstrate the properties of symmetry nonnegativity and expansion of the mutual information ixy described in
a voice-grade channel of the telephone network has a bandwidth of 34 khza calculate the information capacity of the
a stationary gaussian process xt with mean mx and variance is passed through two linear filters with impulse responses
consider the stochastic processwhere wt is a white-noise process of power spectral density n02 and the parameters a and
a white gaussian noise process of zero mean and power spectral density n02 is applied to the filtering scheme shown in
let xt be a weakly stationary process with zero mean autocorrelation function rxx and power spectral density sxxf we
referring back to the graphical plots of figure describing the rician envelope distribution for varying parameter a we
let p denote the probability of some eventplot the amount of information gained by the occurrence of this event for 0
the sample function of a gaussian process of zero mean and unit variance is uniformly sampled and then applied to a
consider a discrete memoryless source with source alphabet s s0 s1 s2 and source statistics 07 015 015a calculate the
1 it may come as a surprise but the number of bits needed to store text is much less than that required to store its
consider a discrete memoryless source whose alphabet consists of k equiprobable symbolsa explain why the use of a
consider the four codes listed belowa two of these four codes are prefix codes identify them and construct their
consider a sequence of letters of the english alphabet with their probabilities of occurrencecompute two different
a discrete memoryless source has an alphabet of seven symbols whose probabilities of occurrence are as described
consider a discrete memoryless source with alphabet s0 s1 s2 and statistics 07 015 015 for its outputa apply the
consider a pair of stochastic processes xt and ytin the strictly stationary world of stochastic processes the
let x1 x2 frac14 xknbspdenote a sequence obtained by uniformly sampling a stochastic process xtthe sequence consists of