Question
I have some data in MATLAB that represents power density measured in dBW, and I would like to convert the data to units of dBm.
Expert Answer
Prashant Kumar
PhD Expert
Answered Aug 30, 2026
Assuming that Pxx is measured in Watts, the formula for dBW is
dBW = 10*log10(Pxx/(1 Watt))
= 10*log10(Pxx) for Pxx in Watts
The formula for dBm is
dBm = 10*log10((1000 mW/W)*Pxx /(1 milliWatt))
= 10*log10(1000*Pxx)
= 10*log10(Pxx) + 10*log10(1000)
= 10*log10(Pxx) + 10*(3)
= 10*log10(Pxx) + 30
= dBW + 30
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