The definition of NMSE (normalized mean square error)

signal-processing

Solution 1:

$NMSE$ is the $MSE$ normalized by signal power. $NMSE=\textbf{E}^T.\textbf{E}/\textbf{X}^T.\textbf{X}$, where $\textbf{X}$ and $\textbf{E}$ are the column vectors of input and error signals, respectively. This is known as MSE normalized by signal power. Consider "the 1/N in the numerator and denominator cancel each other," as Evan said earlier.

Solution 2:

That sounds right to me.

FWIW, you probably would've gotten a faster answer on dsp.stackexchange.com

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