Review_Decibels - Ch. 6: Logarithmic Unit The Decibel Notes...

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15/24 Ch. 6: Logarithmic Unit The Decibel
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16/24 • Engineers deal with data that can take on values over a HUGE range!!! – Plotting this on a “linear” scale doesn’t show the data well Logarithmic Scale i.e., Plotting Y vs. X – so use “logarithmic” scale(s) •Y o n log axis vs. X on linear axis, or o n linear axis vs. X on log axis, or o n log axis vs. X on log axis, … depends on data – The following plots illustrate this! • Two sets of data that are very different, but you can’t see it on the linear scale!!!
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17/24 0 100 200 300 400 500 600 10 0 1 2 3 4 5 6 X Y 1 Log Vertical Scale 0 0 1 2 3 4 5 6 Y 2 X Log Vertical Scale 0 0 2 4 6 8 12 x 10 5 X Y 2 Linear Vertical Scale 0 0 2 4 6 8 5 X Y 1 Linear Vertical Scale
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18/24 Logarithmic Scale • Instead of using a logarithmic axis 0 100 200 300 400 500 600 10 4 5 6 Y 1 Option: Plot data on log axis X 0 4 4.5 5 5.5 6 log ( Y 1 ) Option: Plot log(data) on linear axis X • log(Y) vs. X, or • Y vs. log(X), or • log(Y) vs. log(X) First… take log of data; then… plot on linear axis
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This note was uploaded on 02/29/2012 for the course EECE 301 taught by Professor Fowler during the Fall '08 term at Binghamton University.

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Review_Decibels - Ch. 6: Logarithmic Unit The Decibel Notes...

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