BodePlot - MathStudio Manual

BodePlot(function, variable, minimum, maximum, mode)

function

The function to plot.

variable

The independent variable.

minimum

Start sweep frequency : ω_min (rad/sec).

maximum

End sweep frequency : ω_max (rad/sec).

mode

mode = 0 : magnitude plot (= default mode)
mode = 1 : phase plot in degrees
mode = 2 : phase plot in radians

Description

BodePlot creates a Bode plot for the given function.

The x-axis is a logarithmic scale and represents the frequency in rad/sec.

x = -2 : => ω = 0.01 rad/sec
x = -1 : => ω = 0.1 rad/sec
x = 0 : => ω = 1 rad/sec
x = 1 : => ω = 10 rad/sec
x = 2 : => ω = 100 rad/sec
x = 3 : => ω = 1000 rad/sec

When the frequency is not given, then ω_min = 0.01 rad/sec and ω_max = 1000 rad/sec.

The y-axis is either the magnitude in dB (mode=0) or the phase in degrees (mode=1) or the phase in radians (mode=2).

Examples

BodePlot((0.1+s)/((0.001s+1)*(1+0.5s^2)), s, 0.01, 10000, 0)

BodePlot((0.1+s)/((0.001s+1)*(1+0.5s^2)), s, 0.01, 10000, 1)

BodePlot((30+s/10)^2/((s+10)^3), s, 0.1, 1000)

BodePlot((30+s/10)^2/((s+10)^3), s, 0.1, 1000, 1)

BodePlot(1/(1+s^2), s, 0.01, 1000, 1)

BodePlot((s+10)(s+1000)/((s+1)*(s+100)*(s+10000)), s, 0.1, 100000, 0)

BodePlot((s+10)(s+1000)/((s+1)*(s+100)*(s+10000)), s, 0.1, 100000, 1)

References

http://en.wikipedia.org/wiki/Bode_plot

Related Functions

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Functions

A

AlternatingSeries(n, [terms])

Angle(A, B)

Animate(variable, start, end, [step], [value], [fps])

Apart(f(x), x)

Append(expression1, expression2)

B

BarPlot(list1, frequency1, ...)

Bernoulli(n, [z])

BesselI(v, z)

BesselJ(v, z)

BesselK(v, z)

BesselY(v, z)

Beta(m, n)

Binomial(n, r)

BinomialCDF(n, p, x)

BinomialPDF(n, p, x)

BodePlot(function, variable, minimum, maximum, mode)

BoxPlot(x, [frequency1], [x2], [frequency2], ...)

Button(name, [list], [value])

G

GCD(n1, n2)

GegenbauerC(n, a, z)

GeoCDF(p, x)

GeoPDF(p, x)

Gradient(function, [varlist], [mode])

Gudermannian(z)

H

HalfRectSineWave(x, [T])

HankelH1(v, z)

HankelH2(v, z)

Harmonic(z)

Heaviside(x)

HermiteH(n, z)

Hessian(function, [varlist], [mode])

HRStoHMS(hours, [digits])

http(url, [filter])

Hypergeom_2F1(a, b, c, z, [mode])

J

Jacobian(function, [varlist], [point])

json(data, [filter])

JuliaPlot(expression, ...)

K

KelvinBei(v, z)

KelvinBer(v, z)

KelvinKei(v, z)

KelvinKer(v, z)

M

Matrix(rows, [columns])

MatrixLU(matrix, [mode])

MatrixMap(matrix, name, [value])

MatrixQR(A)

MatrixSVD(A)

Max(number, ...)

Mean(list)

MedianFit([x], y)

MedianFitModel([x], y)

MedianFitPlot([x], y)

Message(string)

Min(list)

Mod(m, n)

Multinomial(nList)

MultiPlot(plot1, plot2, ...)

MultiPlot3D(expression, ...)

N

nCr(n, r)

NIntegrate(f(x), x, a, b)

NormalCDF(lower, upper, [mu], [sigma])

NormalPDF(x, mu, sigma)

nPr(n, r)

nRoot(z, n, [mode])

Q

QuadraticFit([x], y)

QuadraticFitModel([x], y)

QuadraticFitPlot([x], y)

QuarticFit([x], y)

QuarticFitModel([x], y)

QuarticFitPlot([x], y)

Quotient(f(x), g(x))

R

Random(min, max, [size1], [size2])

RealPart(expression)

Remainder(f(x), g(x))

Replace(expression, old, new)

Reshape(matrix)

Return(expression)

Reverse(list)

Right(expression)

RK4(function, t, y, a, b, y0, N=10)

RK45(function, t, y, a, b, y0, Tol=10E-5, hmax=0.25, hmin=10E-6, N=20)

Round(number, digits)

RowReduce(A)

T

Together(expression)

Trace(variable)

Transpose(A)

TriangleWave(x, [T])

TrigConvert(expression)

TrigExpand(expression)

TrigReduce(expression)

V

Variables(expression)

Variance(list)

VectorPlot(list, ...)

VectorPlot3D(list, ...)

W

While(condition)

Z

Zeta(z, [a])