Description1st Order Lowpass Filter ARF Log.svg	The amplitude response function of the following 1st-Order Lowpass Filter: Plotted on log-log scales, from ω=0.01 to 100 (units of RC)
Date	17 February 2007
Source	Own drawing, Plotted in Mathematica, Edited in Inkscape
Author	Inductiveload
Permission (Reusing this file)	Public domainPublic domainfalsefalse I, the copyright holder of this work, release this work into the public domain. This applies worldwide. In some countries this may not be legally possible; if so: I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.
Other versions	Linear Amplitude Response Function Linear Phase Response Function Logarithmic Phase Response Function

Mathematica Source

This code requires the following packages to be loaded:

<<Graphics`Graphics`

loggrid001 = Table[a, {a, 0.01, 0.1, 0.01}];
loggrid01 = Table[a, {a, 0.1, 1, 0.1}];
loggrid1 = Table[a, {a, 1, 10, 1}];
loggrid10 = Table[a, {a, 10, 100, 10}];
root2 = {1/Sqrt[2]};

logxgrid = Union[loggrid001, loggrid01, loggrid1, loggrid10];
logygrid = Union[loggrid001, loggrid01, root2];
logxgridlabels = {0.001, 0.01, 0.1, 1, 10, 100};
logygridlabels = Union[loggrid001, loggrid01];

ampplotlog = LogLogPlot[1/Sqrt[1 + ω^2],
    {ω, 0.01, 100},
    PlotRange -> {{0.01, 100}, {0.01, 1}},
    ImageSize -> 800,
    Frame -> True,
    GridLines -> {logxgrid, logygrid},
    FrameTicks -> {logxgridlabels, logygridlabels},
    FrameLabel -> {"ω/CR", "A(ω)"}]