 
| PN Sequences
By Dr. Ernest Simo
1.0 Definition and Generation
Correlation of PN Sequences: Definition
The correlation of two random variables X(t) and Y(t),
is a "Time=shift" comparison which expresses the degree
of similarity or the degree of likeness between the
two variables.
1 - The Auto-Correlation function R , provides the degree of Similarity, the degree of
likeness between a random variable X(t) and a time-shifted
version of X(t). For example, let:
-
X(t)=Ci(t)
-
Y(t)=Ci(t-
-
Auto-Correlation = R
= 1/L [.........
To get the average value of the Auto-Correlation, a
normalization by the sequence length L is required.
2 - Likewise, the Cross-correlation function provides
the degree of similarity or the degree of likeness,
between a random variable X(t) and time-shifted version
of another random variable Y(t). For example, let:
-
X(t)=Cj(t)
-
Y(t)=Cj(t-
-
Cross-Correlation = 1/L [.........
To get the Average value of the Cross-correlation,
a normalization by the sequence length L is required.
CODE: AN INTRODUCTION
By Dr. Ernest Simo
© 1999 DR. ERNEST SIMO - SPACE2000 |
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