3-bit-lfsr.tex

\documentclass[border=5pt]{standalone}

\usepackage{tikz}
\usetikzlibrary{arrows, calc, chains, positioning}

\begin{document}
    \begin{tikzpicture}[node distance = 4mm and 0mm,
        box/.style = {shape=rectangle, draw, minimum size=2em, outer sep=0pt, on chain=#1},
        sum/.style = {shape=circle, draw, inner sep=0pt, node contents={$+$}},
        every path/.append style = {-latex'}
        ]
        \def\scopeyshift{19mm}
        \begin{scope}[start chain=ch1 going left]
            \foreach \i in {0,...,2}{
                \node [box=ch1] (ch1-\i) {$s_{\i}$};
            }

            \node (c1) [sum,below=of ch1-1];

            \node at ($(ch1-0) + (2.5,0)$) (output) {$y = s_0 $ (output bit)};
            \draw (ch1-0) -- (output);
            \draw (c1) -| ([xshift=-5mm] ch1-2.west) node [near end, left=1pt] {$x = s_0 + s_1 \pmod 2$ (feedback bit)} -- (ch1-2);
            \draw (ch1-0) |- (c1.east);
            \draw (ch1-1) -- (c1);
        \end{scope}
    \end{tikzpicture}
\end{document}

serato-lfsr.tex

\documentclass[border=5pt]{standalone}

\usepackage{tikz}
\usetikzlibrary{arrows, calc, chains, positioning}

\begin{document}
    \begin{tikzpicture}[node distance = 4mm and 0mm,
        box/.style = {shape=rectangle, draw, minimum size=2em, outer sep=0pt, on chain=#1},
        sum/.style = {shape=circle, draw, inner sep=0pt, node contents={$+$}},
        every path/.append style = {-latex'}
        ]
        \def\scopeyshift{19mm}
        \begin{scope}[start chain=ch1 going left]
            \foreach \i in {0,...,19}{
                \node [box=ch1] (ch1-\i) {$s_{\i}$};
            }

            \node (c1) [sum,below=of ch1-2];
            \draw (ch1-2) -- (c1);
            \draw (ch1-0) |- (c1.east);

            \node (c2) [sum,below=of ch1-4];
            \draw (ch1-4) -- (c2);
            \draw (c1) -- (c2);

            \node (c3) [sum,below=of ch1-6];
            \draw (ch1-6) -- (c3);
            \draw (c2) -- (c3);

            \node (c4) [sum,below=of ch1-8];
            \draw (ch1-8) -- (c4);
            \draw (c3) -- (c4);

            \node (c5) [sum,below=of ch1-10];
            \draw (ch1-10) -- (c5);
            \draw (c4) -- (c5);

            \node (c6) [sum,below=of ch1-11];
            \draw (ch1-11) -- (c6);
            \draw (c5) -- (c6);

            \node (c7) [sum,below=of ch1-14];
            \draw (ch1-14) -- (c7);
            \draw (c6) -- (c7);

            \node (c8) [sum,below=of ch1-16];
            \draw (ch1-16) -- (c8);
            \draw (c7) -- (c8);

            \node (c9) [sum,below=of ch1-17];
            \draw (ch1-17) -- (c9);
            \draw (c8) -- (c9);

            \node at ($(ch1-0) + (2.5,0)$) (output) {$y = s_0 $ (output bit)};
            \draw (ch1-0) -- (output);

            \draw (c9) -| ([xshift=-5mm] ch1-19.west) -- (ch1-19.west);

            \node (label) [below = of c9, xshift=100pt, yshift=10pt] {$x = s_0 + s_2 + s_4 + s_6 + s_8 + s_{10} + s_{11} + s_{14} + s_{16} + s_{17} \pmod 2$ (feedback bit)};
        \end{scope}
    \end{tikzpicture}
\end{document}

simple_bitstream.py

import numpy as np
import matplotlib.pyplot as plot
from matplotlib.collections import PatchCollection
from matplotlib.patches import Rectangle
import math

# Use 'Mixxx' color scheme
plot.rcParams['axes.prop_cycle'] = plot.cycler(color=['#dc5d1e'])
for param, value in plot.rcParams.items():
    if 'color' in param:
        if value in ('black', 'white'):
            plot.rcParams[param] = 'black' if value == 'white' else 'white'

plot.rcParams['figure.dpi'] = 80
plot.rcParams['savefig.dpi'] = 80
plot.rcParams['font.size'] = 20

figure = plot.figure(figsize=(20, 9), tight_layout=True)
subplot = figure.subplots(1)


def make_signal(bits):
    time_values = []
    amplitude_values = []

    step = 0.001

    # Get x values of the sine wave
    time = np.arange(start=0, stop=1, step=step)
    amplitude = np.sin([x * 2 * math.pi for x in time])
    annotations = []
    for i, bit in enumerate(bits):
        # Amplitude of the sine wave is sine of a variable like time
        amplitude_values.extend([x if bit else (x * 0.8) for x in amplitude])
        annotations.append((bit, (i + 0.20, 1.1)))

    time_values = np.arange(start=0, stop=len(bits), step=step)
    return time_values, amplitude_values, annotations


bits = [
    0, 0, 0,
    0, 0, 1,
    0, 1, 0,
    0, 1, 1,
    1, 0, 0,
    1, 0, 1,
    1, 1, 0,
    1, 1, 1,
]
time, amplitude, annotations = make_signal(bits)

# Plot a sine wave using time and amplitude obtained for the sine wave
subplot.plot(time, amplitude)

for text, xy in annotations:
    subplot.annotate(text, xy)

# Give x axis label for the sine wave plot
subplot.set_xlabel('Cycle')
subplot.set_xlim(left=0, right=len(bits))
subplot.set_xticks(np.arange(0, len(bits), 1))

# Give y axis label for the sine wave plot
subplot.set_ylabel('Amplitude')
subplot.set_yticks(np.arange(-1, 1.2, 0.2))
subplot.set_ylim(bottom=-1.1, top=1.2)

subplot.grid(True, which='both', color='#404040', linestyle='dashed')
subplot.axhline(y=0, color='white')
subplot.axvline(x=3, color='white')
subplot.axvline(x=6, color='white')
subplot.axvline(x=9, color='white')
subplot.axvline(x=12, color='white')
subplot.axvline(x=15, color='white')
subplot.axvline(x=18, color='white')
subplot.axvline(x=21, color='white')

# Loop over data points; create box from errors at each point
#boxes = [Rectangle((x, -1.0), 3, 2) for x in (3, 8, 13)]
#pc = PatchCollection(boxes, facecolor="#ff0000", alpha=0.3, edgecolor="#ff0000")
#subplot.add_collection(pc)

plot.savefig('simple_bitstream.svg', transparent=True)
#plot.show()