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I assume you are looking at bode plots. 20dB per decade means an increase or decrease in signal strength of 20dB for every decade of frequency (10Hz to 100Hz is a decade, 100 Hz to 1000Hz is a decade).

This is common talk when discussing filters. If you want further (graphical) explanation, search wikipedia for "bode"

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Q: What is the meaning of 20dB per decade?
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