Answer:
The cross-correlation ,autocorrelation and its coefficient are explained.
Step-by-step explanation:
Solution:
The similarity of two signals is given by the term called cross-correlation .
It is also called as sliding dot product.
The auto-correlation function of signal is defined as signal compared with respect to the time with itself or with time lag .
It is the function of serial correlation with delayed copy of itself.
And the cross correlation is the function of two independent signal with time shifts in the time which are often in advancement rather in delayed in auto-correlation.
The correlation coefficient of signal is ,
consider two signal x(n) and y(n)
there coefficient is given by the
,equation {[tex]sigma x (n)*sigma y(n)[/tex]}/[tex]\sqrt{sigma x^2(n)* sigma y^2(n)}[/tex].
The time and sampling must be matched for the two signals .
if the above equation ;
if the signals are identical then the roots being same gives the extreme value of "1"
if the signals are out of phase to each other then the value for equation will be "-1".
