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

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)

Usage

cp2r(xc) ... convert from polar to cartesian format

xc

a complex scalar, vector or matrix in polar format (length, phase)

Result

same type as xc, but the complex numbers are stored in the cartesian format (real part, imaginary part)

Usage

cr2len(xc) ... convert cartesian format to length (amplitude)

xc

a complex scalar, vector or matrix in polar format (length, phase)

Result

same type as xc, but the complex numbers are stored in the cartesian format (real part, imaginary part)

r with same length as x containing the converted window function

See also

window, fft

<function list>

cr2p

Convert Cartesian coordinates to Polar coordinates

Usage:

cr2p(xC)

Return Type:

like xC

complex numbers