vault backup: 2023-06-11 14:51:54

This commit is contained in:
2023-06-11 14:51:54 +02:00
parent c6ba930f64
commit 1f19ee3e74
3 changed files with 182 additions and 232 deletions

View File

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``` ```
%% %%

View File

@@ -11,8 +11,12 @@
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View File

@@ -1,12 +1,12 @@
Żródło generuje wiadomości 0, 1 # Żródło generuje wiadomości 0, 1
Entropia źródła przy założeniach: Entropia źródła przy założeniach:
a) równoprawdopodobne i niezależne - ### a) równoprawdopodobne i niezależne -
x={0,1} x={0,1}
P_xi(1/2,1/2) P_xi(1/2,1/2)
H(X)=ld 2 = 1 bit H(X)=ld 2 = 1 bit
b) niezależne - p0=3/4 p1=1/4 ### b) niezależne - p0=3/4 p1=1/4
H(x)=-3/4ld3/4-1/4ld1/4=0.81 Hb\<Ha H(x)=-3/4ld3/4-1/4ld1/4=0.81 Hb\<Ha
c) źrodło z pamięcią, równo prawdopodobne ### c) źrodło z pamięcią, równo prawdopodobne
P(0/1)=P(1/0)=1/3 P(0/1)=P(1/0)=1/3
P(0)=P(1)=1/2 P(0)=P(1)=1/2
@@ -16,6 +16,7 @@ $P(1)=\frac{2}{3}P(1)+ \frac{1}{3}P(0)$
$P0+P1=1$ $P0+P1=1$
p0=1/2=P1 p0=1/2=P1
$H_{1}(x)=-\sum\sum P(x_{i}x_{j})ld P(x_{i}/x_{j )=}0.688$ $H_{1}(x)=-\sum\sum P(x_{i}x_{j})ld P(x_{i}/x_{j )=}0.688$
|xjxi|P(xj)|P(xi/xj)|p(xixj)| |xjxi|P(xj)|P(xi/xj)|p(xixj)|
|-|-|-|-| |-|-|-|-|
|00|1/2|2/3|1/3| |00|1/2|2/3|1/3|