How to write script for this

SAP=1/M∑_(i=1)^M▒〖|CWT(ai,n)〗
where i=1,2,3....M
n=1,2,3...N
CWT=Continous Wavelet Transfer

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What is the character after the ^M ?
What is the upper limit of summation?
What is being raised to the M'th power?
I assume, this is the LaTeX notation of "sum from i=1 to M".
What is the character behind ^M ? Should there be two | characters to build the norm? If so, which norm?

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