komm.BarkerSequence

Barker sequence. A Barker sequence is a binary sequence with autocorrelation $R[\ell]$ satisfying $|R[\ell]| \leq 1$, for $\ell \neq 0$. The only known Barker sequences (up to negation and reversion) are shown in the table below.

Length $L$	Barker sequence $b[n]$
$2$	$01$ and $00$
$3$	$001$
$4$	$0010$ and $0001$
$5$	$00010$
$7$	$0001101$
$11$	$00011101101$
$13$	$0000011001010$

References

1. https://en.wikipedia.org/wiki/Barker_code

__init__

Constructor for the class.

Parameters:

• length (int) –

  Length of the Barker sequence. Must be in the set $\{ 2, 3, 4, 5, 7, 11, 13 \}$.

Examples:

>>> barker = komm.BarkerSequence(length=13)
>>> barker.polar_sequence
array([ 1,  1,  1,  1,  1, -1, -1,  1,  1, -1,  1, -1,  1])
>>> barker.autocorrelation()
array([13,  0,  1,  0,  1,  0,  1,  0,  1,  0,  1,  0,  1])