GeezerVison

return s

def __gray_qam_arange(self):

""" Rearanges complex coordinates according to Gray coding requirements.

""" This method re-arranges complex coordinates according to Gray coding requirements.

for idx, (key, item) in enumerate(self.code_book.items()):

| ```soft_decision``` | ```True``` or ```False``` | Specify whether the output values of ```demodulate()``` method is demodulated as hard or soft decisions. If parametr is ```True``` the output will be Log-likelihood ratios (LLR's), else binary symbols. The default is ```True```.|

| ```bin_output``` | ```True``` or ```False```|Specify whether the output of ```demodulate()``` method is bits or integers. The default is ```True```.|

Now the QAM modulation is designed as in **qammod** Octave function \[4\]. It requires only "even" (in sense, that ```log2(M)``` is even) modulation schemes (4-QAM, 16-QAM, 64-QAM and so on).

Now the QAM modulation is designed as in **qammod** Octave function \[4\]. It requires only "even" (in sense, that ```log2(M)``` is even) modulation schemes (4-QAM, 16-QAM, 64-QAM and so on - universal and simple).

Anyway, there are no "odd" modulation schemes in [popular wireless communication standards](https://www.quora.com/What-different-modulation-techniques-are-used-in-1G-2G-3G-4G-and-5G).

Actually, this fact has its own reasons:

- the modulation algorithm for these modulation schemes is universal and simple;

- there are no "odd" modulation schemes in [popular wireless communication standards](https://www.quora.com/What-different-modulation-techniques-are-used-in-1G-2G-3G-4G-and-5G).

To implement correct Gray mapping the additional heuristic is used: the even "columns" in the signal constellation is complex conjugated.