complex arithemtic

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