Quite Universal Circuit Simulator

+x | unary plus |

-x | unary minus |

x+y | addition |

x-y | subtraction |

x*y | multiplication |

x/y | division |

x%y | modulo (remainder of division) |

x^y | power |

max(x[,range]) | maximum value in vector; if a range is given then x must have a single data dependency |

max(x,y) | returns the greater of the values x and y |

min(x[,range]) | minimum value in vector; if a range is given then x must have a single data dependency |

min(x,y) | returns the lesser of the values x and y |

avg(x[,range]) | arithmetic average of values in vector; if a range is given then x must have a single data dependency |

cumavg(x) | cumulative average of values in vector |

runavg(x) | running average of values in vector |

stddev(x) | standard deviation of values in vector |

variance(x) | variance of values in vector |

rms(x) | root mean square of a vector |

sum(x) | sum of values in vector |

prod(x) | product of values in vector |

cumsum(x) | cumulative sum of values in vector |

cumprod(x) | cumulative product of values in vector |

diff(y,x) |
differentiates vector y with respect to x |

diff(y,x,n) |
differentiates vector y with respect to x n-times |

integrate(x,h) | integrates vector x numerically assuming a constant step-size h |

real(x) | real part of complex number |

imag(x) | imaginary part of complex number |

abs(x) | absolute value, magnitude of complex number |

mag(x) | same as abs(x) |

polar(m,p) | returns complex number based on magnitude and phase |

norm(x) | square of mag(x) |

conj(x) | conjugate complex |

phase(x) | phase in degree |

angle(x) | phase in radians |

arg(x) | same as angle(x) |

deg2rad(x) | converts degrees to radians |

rad2deg(x) | converts radians to degrees |

unwrap(rad[,tol]) | unwraps the angle (in radians) using the optional tolerance value (default is pi) |

dB(x) | voltage decibel |

dbm(x) | convert voltage to power in dB |

dbm2w(x) | convert power in dBm to power in Watts |

w2dbm(x) | convert power in Watts to power in dBm |

vt(t) | thermal voltage for a given temperature in Kelvin |

sqr(x) | square (x to the power of two) |

sqrt(x) | square root |

exp(x) | exponential function to basis e |

limexp(x) | limited exponential function |

ln(x) | natural logarithm |

log10(x) | decimal logarithm |

log2(x) | binary logarithm |

hypot(x,y) | Euclidean distance function |

sin(x) | sine |

cos(x) | cosine |

tan(x) | tangent |

sinh(x) | sine hyperbolicus |

cosh(x) | cosine hyperbolicus |

tanh(x) | tangent hyperbolicus |

arcsin(x) | arcus sine |

arccos(x) | arcus cosine |

arctan(x[,y]) | arcus tangent |

arccot(x) | arcus cotangent |

arcsec(x) | arcus secans |

arccosec(x) | arcus cosecans |

arsinh(x) | area sine hyperbolicus |

arcosh(x) | area cosine hyperbolicus |

artanh(x) | area tangent hyperbolicus |

arsech(x) | area secans hyperbolicus |

arcosech(x) | area cosecans hyperbolicus |

arcoth(x) | area cotangent hyperbolicus |

sec(x) | secans |

cosec(x) | cosecans |

cot(x) | cotangent |

sech(x) | secans hyperbolicus |

cosech(x) | cosecans hyperbolicus |

coth(x) | cotangent hyperbolicus |

ztor(x[,zref]) |
converts impedance to reflexion coefficient (by default reference is 50 ohms) |

rtoz(x[,zref]) |
converts reflexion coefficient (by default reference is 50 ohms) to impedance |

ytor(x[,zref]) |
converts admittance to reflexion coefficient (by default reference is 50 ohms) |

rtoy(x[,zref]) |
converts reflexion coefficient (by default reference is 50 ohms) to admittance |

rtoswr(x) |
converts reflexion coefficient to (voltage) standing wave ratio (SWR or VSWR) |

stos(s,zref[,z0]) |
converts s-parameter matrix to s-parameter matrix with different reference impedance(s) |

stoy(s[,zref]) |
converts s-parameter matrix to y-parameter matrix |

stoz(s[,zref]) |
converts s-parameter matrix to z-parameter matrix |

ytos(y[,z0]) |
converts y-parameter matrix to s-parameter matrix |

ytoz(y) |
converts y-parameter matrix to z-parameter matrix |

ztos(z[,z0]) |
converts z-parameter matrix to s-parameter matrix |

ztoy(z) |
converts z-parameter matrix to y-parameter matrix |

twoport(m,from,to) |
converts the given 2-port matrix from one representation into another,
possible values for "from" and "to" are 'Y', 'Z', 'H', 'G',
'A', 'S' and 'T'. |

ceil(x) | rounds to the next higher integer |

fix(x) | truncates decimal places from real number |

floor(x) | rounds to the next lower integer |

round(x) | rounds to nearest integer |

sign(x) | computes the signum function |

sinc(x) | returns sin(x)/x and one at x=0 |

step(x) | step function |

besseli0(x) | modified Bessel function of order zero |

besselj(n,x) | 1st kind Bessel function of n-th order |

bessely(n,x) | 2nd kind Bessel function of n-th order |

erf(x) | error function |

erfc(x) | complementary error function |

erfinv(x) | inverse error function |

erfcinv(x) | inverse complementary error function |

det(x) | determinant of x |

transpose(x) | transposed matrix of x (rows and columns exchanged) |

inverse(x) | inverse matrix of x |

eye(n) | n x n identity matrix |

adjoint(x) | adjoint matrix of x (transposed and conjugate complex) |

Rollet(x) | Rollet stability factor of matrix x (twoport S-parameter matrix) |

Mu(x) | Mu stability factor of matrix x (twoport S-parameter matrix) |

Mu2(x) | Mu' stability factor of matrix x (twoport S-parameter matrix) |

linspace(from,to,n) | creates a vector with n linearly spaced elements between from and to, both inclusively |

logspace(from,to,n) | creates a vector with n logarithmically spaced elements between from and to, both inclusively |

NoiseCircle(Sopt,Fmin,Rn,F[,Arcs]) | circles with constant noise figure(s) F (can be a constant or a vector), Arcs specifies the angles in degree created by e.g. linspace(0,360,100), if Arcs is a number it specifies the number of equally spaced circle segments, if it is omitted this number defaults to a reasonable value |

StabCircleS(S [,Arcs]) | stability circle in the source plane |

StabCircleL(S [,Arcs]) | stability circle in the load plane |

GaCircle(S,Ga [,Arcs]) | circle(s) with constant available power gain Ga in the source plane |

GpCircle(S,Gp [,Arcs]) | circle(s) with constant operating power gain Gp in the load plane |

PlotVs(data,dep) | returns a data item based upon data (vector or matrix vector) with dependency on the given dep vector, e.g. PlotVs(Gain,frequency/1e9) |

interpolate(f,x[,n]) | returns an interpolated data vector of the real function f(x)using n equidistant datapoints, the latter can be omitted and defaults to a reasonable value |

fft(x) | computes the fast fourier transformation (FFT) of the vector x |

ifft(x) | computes the inverse fast fourier transformation (IFFT) of the vector x |

dft(x) | computes the discrete fourier transformation (DFT) of the vector x |

idft(x) | computes the inverse discrete fourier transformation (IDFT) of the vector x |

Time2Freq(v,t) | computes the discrete fourier transformation of the function v(t) interpreting it physically |

Freq2Time(V,f) | computes the inverse discrete fourier transformation of the function V(f) interpreting it physically |

kbd(x [,n]) | Kaiser-Bessel derived window |

yvalue(f,xval) | returns the y-value of the given vector f which is located nearest to the x-value xval; therefore the vector f must have a single data dependency |

xvalue(f,yval) | returns the x-value which is associated with the y-value nearest to yval in the given vector f; therefore the vector f must have a single data dependency |

LO:HI | range from LO to HI |

:HI | up to HI |

LO: | from LO |

: | no range limitations |

M | the whole matrix M |

M[2,3] | element being in 2nd row and 3rd column of matrix M |

M[:,3] | vector consisting of 3rd column of matrix M |

S[1,1] | S-parameter value |

nodename.V | DC voltage at node nodename |

name.I | DC current through component name |

nodename.v | AC voltage at node nodename |

name.i | AC current through component name |

nodename.vn | AC noise voltage at node nodename |

name.in | AC noise current through component name |

nodename.Vt | transient voltage at node nodename |

name.It | transient current through component name |

Note: Noise voltages are RMS values at 1Hz bandwidth.

j | imaginary unit ("square root of -1") |

pi | 4*arctan(1) = 3.14159... |

e | Euler = 2.71828... |

kB | Boltzmann constant = 1.38065e-23 |

q | elementary charge = 1.6021765e-19 C |

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