Rayleigh Channel Pearson Chi Square Test 1.0

Operating systemsOS : Windows / Linux / Mac OS / BSD / Solaris
Program licensingScript Licensing : Freeware
CreatedCreated : Sep 15, 2007
Size downloadDownloads : 5
Program licensing
Thank you for voting...

CHI2RAYLTEST: Single sample Pearson Chi Square ...

test: Single sample Pearson Chi Square goodness-of-fit statistical test to examine a null hypothesis of Rayleigh Channel.
H=CHI2RAYLTEST(X, ALPHA) performs the particular case of pearson Chi Square
test to determine whether the null hypothesis of a Rayleigh channel realization is a reasonable assumption regarding the population distribution of a complex random sample X with the desired significance level ALPHA.
H indicates the result of the hypothesis test according to the MATLAB rules of conditional statements:
H=1 => Do not reject the null hypothesis at significance level ALPHA.
H=0 => Reject the null hypothesis at significance level ALPHA.
The Chi Square hypotheses and test statistic in this particular case are:
Null Hypothesis: X is a base-band rayleigh_channel realization with unknown mean and variance.
Alternative Hypothesis: X is not a Rayleigh channel realization.
The complex random sample X is shifted by its estimated mean and normalized by its estimated standard deviation giving Rayleigh parameter b=1/sqrt(2).
The test drops K factor of Rician distribution for K > -inf[dB], so that the random sample from a Rician channel realization will pass the test as well. The tested bins XP are chosen to give 10 tested bins with equal expected probability. These bins supply a sufficient statistic for LENGTH(X)>=100.
Let E(x) be the expected frequency X falls within XP according to the Rayleigh distribution and O(x) be the observed frequency. The Pearson statistic, X2=SUM((E(x)-O(x))^2/E(x)) distributes Chi Square with
LENGTH(XP)-2 degrees of freedom.
The decision to reject the null hypothesis is taken when the P value (probability that Chi2 random value with length(XP)-2 degrees of freedom is greater than X2) is less than significance level ALPHA.
X must be a complex row vector representing a random sample corresponding to a base-band channel realization.
ALPHA must be a scalar.
The function doesn't check the formats of X and ALPHA, as well as a number of the input and output parameters.
Demands:
• MATLAB Release: R12. 1

Rayleigh Channel Pearson Chi Square Test 1.0 scripting tags: statistics probability, null, rayleigh channel, hypothesis, pearson, test, pearson chi square test, sample. What is new in Rayleigh Channel Pearson Chi Square Test 1.0 software script? - Unable to find Rayleigh Channel Pearson Chi Square Test 1.0 news. What is improvements are expecting? Newly-made Rayleigh Channel Pearson Chi Square Test 1.1 will be downloaded from here. You may download directly. Please write the reviews of the Rayleigh Channel Pearson Chi Square Test. License limitations are unspecified.