Suppose the symbols fall into several groups such that the noise never causes a symbol in...
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Suppose the symbols fall into several groups such that the noise never causes a symbol in one group to be mistaken for a symbol in another group. Let the capacity for the nth group be Сn (in bits per second) when we use only the symbols in this group. Show that for best use of the entire set, the total probability Pn of all symbols in the nth group should be 2Cn Pn= Στη 26η 'n Suppose the symbols fall into several groups such that the noise never causes a symbol in one group to be mistaken for a symbol in another group. Let the capacity for the nth group be Сn (in bits per second) when we use only the symbols in this group. Show that the channel capacity is C = log(Σ2Cn). n Suppose the symbols fall into several groups such that the noise never causes a symbol in one group to be mistaken for a symbol in another group. Let the capacity for the nth group be Сn (in bits per second) when we use only the symbols in this group. Show that for best use of the entire set, the total probability Pn of all symbols in the nth group should be 2Cn Pn= Στη 26η 'n Suppose the symbols fall into several groups such that the noise never causes a symbol in one group to be mistaken for a symbol in another group. Let the capacity for the nth group be Сn (in bits per second) when we use only the symbols in this group. Show that the channel capacity is C = log(Σ2Cn). n
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1The channel capacity is defined as the maximum rate at which information can be transmitted over a particular channel without errors It is calculated ... View the full answer
Related Book For
Financial Reporting and Analysis
ISBN: 978-0078025679
6th edition
Authors: Flawrence Revsine, Daniel Collins, Bruce, Mittelstaedt, Leon
Posted Date:
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