simulations/models/optical_channel.py

import matplotlib.pyplot as plt

import defs
import numpy as np
import math
from numpy.fft import fft, fftfreq, ifft
from commpy.filters import rrcosfilter, rcosfilter, rectfilter

class OpticalChannel(defs.Channel):
    def __init__(self, noise_level, dispersion, symbol_rate, sample_rate, length, pulse_shape='rect',
                 sqrt_out=False, show_graphs=False, **kwargs):
        """
        :param noise_level: Noise level in dB
        :param dispersion: dispersion coefficient is ps^2/km
        :param symbol_rate: Symbol rate of modulated signal in Hz
        :param sample_rate: Sample rate of time-domain model (time steps in simulation) in Hz
        :param length: fibre length in km
        :param pulse_shape: pulse shape -> ['rect', 'rcos', 'rrcos']
        :param sqrt_out: Take the root of the out to compensate for photodiode detection
        :param show_graphs: if graphs should be displayed or not

        Optical Channel class constructor
        """
        super().__init__(**kwargs)
        self.noise = 10 ** (noise_level / 10)

        self.dispersion = dispersion * 1e-24  # Converting from ps^2/km to s^2/km
        self.symbol_rate = symbol_rate
        self.symbol_period = 1 / self.symbol_rate
        self.sample_rate = sample_rate
        self.sample_period = 1 / self.sample_rate
        self.length = length
        self.pulse_shape = pulse_shape.strip().lower()
        self.sqrt_out = sqrt_out
        self.show_graphs = show_graphs

    def __get_time_domain(self, symbol_vals):
        samples_per_symbol = int(self.sample_rate / self.symbol_rate)
        samples = int(symbol_vals.shape[0] * samples_per_symbol)

        symbol_impulse = np.zeros(samples)

        # TODO: Implement Frequency/Phase Modulation

        for i in range(symbol_vals.shape[0]):
            symbol_impulse[i*samples_per_symbol] = symbol_vals[i, 0]

        if self.pulse_shape == 'rrcos':
            self.filter_samples = 5 * samples_per_symbol
            self.t_filter, self.h_filter = rrcosfilter(self.filter_samples, 0.8, self.symbol_period, self.sample_rate)
        elif self.pulse_shape == 'rcos':
            self.filter_samples = 5 * samples_per_symbol
            self.t_filter, self.h_filter = rcosfilter(self.filter_samples, 0.8, self.symbol_period, self.sample_rate)
        else:
            self.filter_samples = samples_per_symbol
            self.t_filter, self.h_filter = rectfilter(self.filter_samples, self.symbol_period, self.sample_rate)

        val_t = np.convolve(symbol_impulse, self.h_filter)
        t = np.linspace(start=0, stop=val_t.shape[0] * self.sample_period, num=val_t.shape[0])

        return t, val_t

    def __time_to_frequency(self, values):
        val_f = fft(values)
        f = fftfreq(values.shape[-1])*self.sample_rate
        return f, val_f

    def __frequency_to_time(self, values):
        val_t = ifft(values)
        t = np.linspace(start=0, stop=values.size * self.sample_period, num=values.size)
        return t, val_t

    def __apply_dispersion(self, values):
        # Obtain fft
        f, val_f = self.__time_to_frequency(values)

        if self.show_graphs:
            plt.plot(f, val_f)
            plt.title('frequency domain (pre-distortion)')
            plt.show()

        # Apply distortion
        dist_val_f = val_f * np.exp(0.5j * self.dispersion * self.length * np.power(2 * math.pi * f, 2))

        if self.show_graphs:
            plt.plot(f, dist_val_f)
            plt.title('frequency domain (post-distortion)')
            plt.show()

        # Inverse fft
        t, val_t = self.__frequency_to_time(dist_val_f)

        return t, val_t

    def __photodiode_detection(self, values):
        t = np.linspace(start=0, stop=values.size * self.sample_period, num=values.size)
        val_t = np.power(np.absolute(values), 2)
        return t, val_t

    def __plot_eye(self, val_t, num_of_symbols=100):
        samples_per_symbol = int(self.symbol_period/self.sample_period)
        val_t_a = np.reshape(val_t[:(2*samples_per_symbol*num_of_symbols)], (-1, 2*samples_per_symbol))
        t = np.linspace(start=0, stop=self.symbol_period, num=2*samples_per_symbol)

        for sym in val_t_a:
            plt.plot(t, sym, color="blue")
        plt.show()

        pass

    # def eye_diagram(self, t, val_t, num_of_symbols=100):
    #     symbol_width = int(len(val_t)/num_of_symbols)
    #     time_scale = t[0:symbol_width]
    #     counter = 0
    #     l = 0
    #     u = symbol_width
    #     while counter < 100:
    #         symbol = val_t[l:u]
    #         plt.plot(time_scale, symbol)
    #         counter += 1
    #         l += symbol_width
    #         u += symbol_width

    def forward(self, values):
        # Converting APF representation to time-series
        t, val_t = self.__get_time_domain(values)

        if self.show_graphs:
            plt.plot(t, val_t)
            plt.title('time domain (raw)')
            plt.show()

        # Adding AWGN
        val_t += np.random.normal(0, 1, val_t.shape) * self.noise

        if self.show_graphs:
            plt.plot(t, val_t)
            plt.title('time domain (AWGN)')
            plt.show()

        # Applying chromatic dispersion
        t, val_t = self.__apply_dispersion(val_t)

        if self.show_graphs:
            plt.plot(t, val_t)
            plt.title('time domain (post-distortion)')
            plt.show()

        # Photodiode Detection
        t, val_t = self.__photodiode_detection(val_t)

        # Symbol Decisions
        idx = np.arange(self.filter_samples/2, t.shape[0] - (self.filter_samples/2),
                        self.symbol_period/self.sample_period, dtype='int64')
        t_descision = self.sample_period * idx

        if self.show_graphs:
            self.__plot_eye(val_t)

            plt.plot(t, val_t)
            plt.title('time domain (post-detection)')
            plt.show()

            plt.plot(t, val_t)
            for xc in t_descision:
                plt.axvline(x=xc, color='r')
            plt.title('time domain (post-detection with decision times)')
            plt.show()

        # TODO: Implement Frequency/Phase Modulation

        out = np.zeros(values.shape)

        out[:, 0] = val_t[idx]
        out[:, 1] = values[:, 1]
        out[:, 2] = values[:, 2]

        if self.sqrt_out:
            out[:, 0] = np.sqrt(out[:, 0])

        return out


if __name__ == '__main__':
    # Simple OOK modulation
    num_of_symbols = 1000
    symbol_vals = np.zeros((num_of_symbols, 3))

    symbol_vals[:, 0] = np.random.randint(2, size=symbol_vals.shape[0])
    symbol_vals[:, 2] = 0

    channel = OpticalChannel(noise_level=-20, dispersion=-21.7, symbol_rate=7e9,
                             sample_rate=336e9, length=0, pulse_shape='rcos', show_graphs=True)
    v = channel.forward(symbol_vals)
    rx = (v > 0.5).astype(int)
    tru = np.sum(rx == symbol_vals[:, 0].astype(int))
    print("Accuracy: {}".format(tru/num_of_symbols))