Answers
Solution :
Correlation coefficients are used to measure the strength of the relationship between two variables.
It has a value between +1 and −1, where 1 is total positive linear correlation, 0 is no linear correlation, and −1 is total negative linear correlation. (means the two data set clearly disagree with each other)
a)
So for our given signal we can draw exactly opposite signal to get coorelation coefficient as -1.
b)
To get orthohogonal signal pair we need to make a signal such that its dot product in each time interval with
the given signal total add upto 0.
This is shown below :
we can see the dot product of two signal = 0 hence its orthogonal.
1 time original signal 10 FUL exactly opposite version to give max dissimilarity time
parent signal time 10 till one period keep signal same In the next period invert the signal New signal will have zero dot orthohogonalN signal time product with 10 parent signal
.
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