Description1st Order Lowpass Filter PRF Log.svg	The phase response function of the following 1st-Order Lowpass Filter: Plotted on log-linear scales, from ω=0.01 to 100 (units of RC). The phase in in degrees.
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 Logarithmic Amplitude Response Function Linear Phase Response Function

Mathematica Source

This code require 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}];

lingrid0neg90 = Table[a, {a, -90, 0, 10}];
neg45={-45};

phasegrid = Union[lingrid0neg90, neg45];
logxgrid = Union[loggrid001, loggrid01, loggrid1, loggrid10];
logxgridlabels = {0.001, 0.01, 0.1, 1, 10, 100};

phaseplotlog = LogLinearPlot[-ArcTan[ω]*180/Pi,
    {ω, 0.01, 100},
    PlotRange -> {{0.01, 100}, {-90, 0}},
    PlotPoints -> 80,
    ImageSize -> 800,
    Frame -> True,
    FrameTicks -> {logxgridlabels, phasegrid},
    GridLines -> {logxgrid, phasegrid},
    FrameLabel -> {"ω/CR", "ϕ(ω)"}]