complex arithemtic

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Because the current version of the STx EVAL command do not support a complex data type, a package of functions is used to implement arithmetic and special handling for complex numbers.

Note:

  • A numerical object containing N x M complex numbers (N>=1, M>=1), consists of 2N rows and M columns, because each complex number uses two cells of a row.
  • If a numerical object containing N x M complex numbers, is converted element-wise to real numbers, the resulting object consists of N rows and M columns.
complex -> complex
argument xc any complex type
result rc same complex type as xc
rc=cr2p(xc) ... convert xc from cartesian (real, imaginary) to polar (length, phase) format
rc=cp2r(xc) ... convert xc from polar (length, phase) to cartesian (real, imaginary) format
rc=conj(xc) ... cojugate xc (xc must be in cartesian format)
complex -> real
argument xc any complex type
result r same real type as xc
r=cr2len(xc) ... compute length of xc; xc is stored in cartesian format
r=cr2phi(xc) ... compute phase of xc; xc is stored in cartesian format
r=cget(xc,0) ... get real part or length of xc (depends on format of xc)
r=cget(xc,1) ... get imaginary part or phase of xc (depends on format of xc)
real -> complex
argument x any real type
argument y same type as x
result rc same complex type as x
rc=cset(x,y) ... combine x (real part or length) and y (imaginary part or phase) elements to a complex numbers
complex multiplication
rc=cmul(xc,n)
rc=cmul(n,xc)
Multiply all elements xc, which can be any complex type, with the real or complex number n. The result rc has the same type as xc.
rc=cmul(xc,yc)
Element-wise multiplication of xc and yc. Both arguments must and the the result have the same complex type.
special functions
rc=cdot(xc,yc)
the result rc (complex number) is the dot product of the complex vectors xc and yc
rc=ctrn(xc)
the result rc is transposed matrix of the complex matrix xc


See also
window, fft

<function list>


cr2p

Convert Cartesian coordinates to Polar coordinates

Usage:

cr2p(xC)

Return Type:

like xC


complex numbers

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