coherence
Coherence function.
Syntax
coherence(input, output, block_size, overlap)
Argument
- input
 - A vector representing the input to a system.
 - output
 - A vector representing the output from a given system.
 - block_size
 - The number of elements to be used for each coherence calculation (should be a power of 2).
 - overlap
 - The number of elements shared between consecutive blocks.
 
Example
| Curve Math Vectors | Result | 
|---|---|
x = freq(c1.x[0:255:1])
  | 
                                Given c1 and c2, a curve is created which is the coherence between input c1 and output c2, using a block size of 256 and an overlap of 128. | 
Comments
The coherence function estimates the correlation between input and output signals as a function of frequency. The value of the coherence ranges from 0 to 1. A coherence of 0 means that the signals have no correlation, while a coherence of 1 means the signals are perfectly correlated.
input and output must be vectors with the same number of elements. block_size and overlap must be scalars.
If block_size is greater than the number of elements in input and output, the coherence is 1 for all frequencies, since no averaging occurs.
If input and output are the same, the coherence is 1 at all frequencies, since a signal is perfectly correlated with itself. input and output are assumed to be evenly sampled.