Knowing the presence of a peak around a point

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How to know wheather a peak is present around a ponint 'x0' in a 1d plot.
Clearly saying I want to know wheather a peak is present in the space 'x0-d' to 'x0+d' where d is a variable representing the distance from the point x0
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Walter Roberson
Walter Roberson 2021-5-30
Ah, but how do you define a "peak" for this purpose?
A
* *
* * C
* **B **X**
* *
Suppose C is within the defined range of X, but A is not within that range. C is a peak relative to BX, but C could also be said to only be on the shoulder of a different peak, A
Vinay Killamsetty
Vinay Killamsetty 2021-5-30
Hi, Walter.
I want to chek whether the Maximum peak of the plot is in the defined range.

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Walter Roberson
Walter Roberson 2021-5-30
Assuming you have a vector of x values (rather than x0 being an index), and that your signal is called y:
acceptable_idx = find(abs(x-x0)<=d);
[~, peakidx] = max(y);
if ismember(peakidx, acceptable_idx)
%yes, peak is inside the desired interval
end

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