_cplxreal(z, tol=None)
The 1-D input vector z is split up into its complex (:None:None:`zc`) and real (:None:None:`zr`) elements. Every complex element must be part of a complex-conjugate pair, which are combined into a single number (with positive imaginary part) in the output. Two complex numbers are considered a conjugate pair if their real and imaginary parts differ in magnitude by less than tol * abs(z)
.
Vector of complex numbers to be sorted and split
Relative tolerance for testing realness and conjugate equality. Default is 100 * spacing(1)
of z's data type (i.e., 2e-14 for float64)
If there are any complex numbers in z for which a conjugate cannot be found.
Complex elements of z, with each pair represented by a single value having positive imaginary part, sorted first by real part, and then by magnitude of imaginary part. The pairs are averaged when combined to reduce error.
Real elements of z (those having imaginary part less than :None:None:`tol` times their magnitude), sorted by value.
Split into complex and real parts, combining conjugate pairs.
>>> a = [4, 3, 1, 2-2j, 2+2j, 2-1j, 2+1j, 2-1j, 2+1j, 1+1j, 1-1j]
... zc, zr = _cplxreal(a)
... print(zc) [ 1.+1.j 2.+1.j 2.+1.j 2.+2.j]
>>> print(zr) [ 1. 3. 4.]See :
The following pages refer to to this document either explicitly or contain code examples using this.
scipy.signal._filter_design._cplxreal
scipy.signal._filter_design._cplxpair
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