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MATLAB SIGNAL DETECTION
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Pattern Adapted Wavelets for Signal Detection
The purpose of this Pattern Adapted Wavelets for Signal Detection is to show how to use the continuous wavelet
transform (CWT) to detect patterns in signals.
First, we consider a simple detection problem. A signal S(t) is defined.
It contains a superposition of dilated and translated versions of a given
basic pattern f(t). In this context, when only S(t) and f(t) are known,
we have to identify the number of patterns and the values of the
scale-position pairs. To achieve this goal, the following process is
used:
The purpose of this Pattern Adapted Wavelets for Signal Detection is to show how to use the continuous wavelet
transform (CWT) to detect patterns in signals.
First, we consider a simple detection problem. A signal S(t) is defined.
It contains a superposition of dilated and translated versions of a given
basic pattern f(t). In this context, when only S(t) and f(t) are known,
we have to identify the number of patterns and the values of the
scale-position pairs. To achieve this goal, the following process is
used:
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