| +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 |
| sqr(x) | square (x to the power of two) |
| sqrt(x) | square root |
| exp(x) | exponential function to basis e |
| ln(x) | natural logarithm |
| log10(x) | decimal logarithm |
| log2(x) | binary logarithm |
| 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 |
| arsinh(x) | area sine hyperbolicus |
| arcosh(x) | area cosine hyperbolicus |
| artanh(x) | area tangent 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 |