It is desired to estimate the mean value of a stationary random process by averaging N samples from the process. That is, let 1 x = Σ ΧΑ N Derive a general result for the variance of this estimate if: a) The samples are uncorrelated from one another. b) The samples are separated by Ar and are from a random process having an autocorrelation function of Rx (T).

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter2: Exponential, Logarithmic, And Trigonometric Functions
Section2.CR: Chapter 2 Review
Problem 111CR: Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data...
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It is desired to estimate the mean value of a stationary random process
by averaging N samples from the process. That is, let
1
x =
Σ ΧΑ
N
Derive a general result for the variance of this estimate if:
a) The samples are uncorrelated from one another.
b) The samples are separated by Ar and are from a random process
having an autocorrelation function of Rx (T).
Transcribed Image Text:It is desired to estimate the mean value of a stationary random process by averaging N samples from the process. That is, let 1 x = Σ ΧΑ N Derive a general result for the variance of this estimate if: a) The samples are uncorrelated from one another. b) The samples are separated by Ar and are from a random process having an autocorrelation function of Rx (T).
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