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# SPDX-License-Identifier: MPL-2.0
# Copyright (c) 2022 Philipp Le <philipp@philipple.de>.
# This Source Code Form is subject to the terms of the Mozilla Public
# License, v. 2.0. If a copy of the MPL was not distributed with this
# file, You can obtain one at https://mozilla.org/MPL/2.0/.
from __future__ import annotations
from tkinter import ttk, LEFT, BOTH, BOTTOM
from pydantic import confloat, conint
from dcs.config import default_store, ConfigObject, ui_create, ConfigControlFrame
import numpy as np
import scipy.signal
from scipy.interpolate import make_interp_spline
from dcs.frames.base import BaseFrame, Window
from dcs.frames.groups import Ch06Group
from dcs.utils import swap_freq, abs_log_fft
from typing import List, Tuple
import matplotlib
matplotlib.use('TkAgg')
from matplotlib.figure import Figure
from matplotlib.backends.backend_tkagg import FigureCanvasTkAgg, NavigationToolbar2Tk
OVERSAMPLING_LEN = 512
FFT_LEN = 2048
@ui_create
class Function(ConfigObject):
freq: confloat(ge=0, lt=OVERSAMPLING_LEN/2, multiple_of=(4.0/OVERSAMPLING_LEN)) = 1.0
amplitude: confloat(ge=0.0, lt=10.0, multiple_of=0.01) = 5.0
phase: confloat(ge=-180.0, le=180.0, multiple_of=0.1) = 0.0
offset: confloat(ge=-5.0, lt=5.0, multiple_of=0.01) = 0.0
def make_config_widget(self, parent: ttk.Widget) -> ConfigControlFrame:
frm = ConfigControlFrame(parent)
ttk.Label(frm, text='Frequency:').grid(row=0, column=0)
w = self.ui_create_freq(frm)
frm.add_widget(w)
w.grid(row=0, column=1)
ttk.Label(frm, text='Amplitude:').grid(row=1, column=0)
w = self.ui_create_amplitude(frm)
frm.add_widget(w)
w.grid(row=1, column=1)
ttk.Label(frm, text='Phase:').grid(row=2, column=0)
w = self.ui_create_phase(frm)
frm.add_widget(w)
w.grid(row=2, column=1)
ttk.Label(frm, text='°').grid(row=2, column=2)
ttk.Label(frm, text='Offset:').grid(row=3, column=0)
w = self.ui_create_offset(frm)
frm.add_widget(w)
w.grid(row=3, column=1)
return frm
def calc_signal(self, t: np.ndarray) -> np.ndarray:
phasor = self.amplitude * np.exp(1j * self.phase * np.pi / 180)
phi = np.exp(1j * 2 * np.pi * self.freq * t)
return np.real(self.offset + (phasor * phi))
def make_title(self):
return f'f={self.freq}, {self.amplitude}, {self.phase}°'
@ui_create
class ConfigCh06DownSampling(ConfigObject):
_KEY = 'ch06_down_sampling'
input_funcs: List[Function] = [
Function(freq=1.0, amplitude_dB=0.0, phase=0.0),
Function(freq=1.5, amplitude_dB=0.0, phase=90.0),
]
sample_rate: confloat(ge=0, lt=OVERSAMPLING_LEN/2, multiple_of=(4.0/OVERSAMPLING_LEN)) = 16.0
decimation: conint(ge=0, lt=64) = 4
lp_cutoff_freq: confloat(ge=0, lt=OVERSAMPLING_LEN/2, multiple_of=(4.0/OVERSAMPLING_LEN)) = 4.0
def make_config_widget(self, parent: ttk.Widget) -> ConfigControlFrame:
frm = ConfigControlFrame(parent, borderwidth=1, relief='raised')
ttk.Label(frm, text='Input Functions:').pack()
w = self.ui_create_input_funcs_list(frm, lambda e: e.make_title())
frm.add_widget(w)
w.pack()
frm1 = ttk.Frame(frm, borderwidth=1, relief='raised')
frm1.pack()
ttk.Label(frm1, text='Sample Rate:').grid(row=0, column=0)
w = self.ui_create_sample_rate(frm1)
frm.add_widget(w)
w.grid(row=0, column=1)
ttk.Label(frm1, text='Decimation Factor:').grid(row=1, column=0)
w = self.ui_create_decimation(frm1)
frm.add_widget(w)
w.grid(row=1, column=1)
ttk.Label(frm1, text='Anti-Aliasing Low Pass Cut-off:').grid(row=2, column=0)
ttk.Label(frm1, text='(0 = disable):').grid(row=3, column=1)
w = self.ui_create_lp_cutoff_freq(frm1)
frm.add_widget(w)
w.grid(row=2, column=1)
return frm
def have_filter(self) -> bool:
return not (self.lp_cutoff_freq == 0)
def _decimate_vec(self, vec: np.ndarray) -> np.ndarray:
return np.array([vec[idx] for idx in range(0, len(vec), self.decimation)])
def calc_input_signal(self, t: np.ndarray) -> np.ndarray:
x = np.zeros((len(self.input_funcs), len(t)), dtype=np.float64)
for index, func in enumerate(self.input_funcs):
x[index, :] = func.calc_signal(t)
return np.sum(x, axis=0)
def calc_decimated_bypassed_signal(self, t: np.ndarray) -> Tuple[np.ndarray, np.ndarray]:
sig = self.calc_input_signal(t)
return self._decimate_vec(t), self._decimate_vec(sig)
def calc_filtered_signal(self, t: np.ndarray) -> np.ndarray:
inp = self.calc_input_signal(t)
if self.have_filter():
b, a = scipy.signal.cheby1(N=5, Wn=self.lp_cutoff_freq, rp=1, btype='low', fs=self.sample_rate)
zi = scipy.signal.lfilter_zi(b, a)
z, _ = scipy.signal.lfilter(b, a, inp, zi=zi*inp[0])
return z
else:
return inp
def calc_decimated_signal(self, t: np.ndarray) -> Tuple[np.ndarray, np.ndarray]:
sig = self.calc_filtered_signal(t)
return self._decimate_vec(t), self._decimate_vec(sig)
class Ch06DownSamplingFrame(BaseFrame):
def __init__(self, *args, **kwargs):
super().__init__(*args, **kwargs)
self._config: ConfigCh06DownSampling = default_store().get_config(ConfigCh06DownSampling)
ctrl_frm = self._create_control()
ctrl_frm.pack(side=LEFT)
signal_frm = self._create_signal_tabs()
signal_frm.pack(expand=True, fill=BOTH)
def _create_control(self) -> ConfigControlFrame:
frm = self._config.make_config_widget(self)
frm.widgets_on_change(self._on_change)
return frm
def _on_change(self, _, __, ___):
default_store().save()
self.draw_td()
self.draw_fd()
def _create_signal_tabs(self) -> ttk.Widget:
tabs = ttk.Notebook(self)
td_frm = ttk.Frame(tabs)
tabs.add(td_frm, text='Time Domain')
self._td_fig = Figure(figsize=(12, 6), dpi=100)
self._td_canvas = FigureCanvasTkAgg(self._td_fig, td_frm)
self._td_canvas.get_tk_widget().pack(expand=True, fill=BOTH)
td_tb = NavigationToolbar2Tk(self._td_canvas, td_frm, pack_toolbar=False)
td_tb.pack(side=BOTTOM)
fd_frm = ttk.Frame(tabs)
tabs.add(fd_frm, text='Frequency Domain')
self._fd_fig = Figure(figsize=(12, 6), dpi=100)
self._fd_canvas = FigureCanvasTkAgg(self._fd_fig, fd_frm)
self._fd_canvas.get_tk_widget().pack(expand=True, fill=BOTH)
fd_tb = NavigationToolbar2Tk(self._fd_canvas, fd_frm, pack_toolbar=False)
fd_tb.pack(side=BOTTOM)
self.draw_td()
self.draw_fd()
return tabs
def draw_td(self):
self._td_fig.clear()
if self._config.have_filter():
ax_inp = self._td_fig.add_subplot(3, 1, 1)
else:
ax_inp = self._td_fig.add_subplot(2, 1, 1)
ax_inp.set_xlim(0.0, 1.1)
ax_inp.set_xlabel('time')
ax_inp.set_ylabel('value')
ax_inp.set_title('Input Signal')
if self._config.have_filter():
ax_flt = self._td_fig.add_subplot(3, 1, 2)
ax_flt.set_xlim(0.0, 1.1)
ax_flt.set_xlabel('time')
ax_flt.set_ylabel('value')
ax_flt.set_title('Signal After Anti-Aliasing Filter')
ax_dec = self._td_fig.add_subplot(3, 1, 3)
else:
ax_dec = self._td_fig.add_subplot(2, 1, 2)
ax_dec.set_xlim(0.0, 1.1)
ax_dec.set_xlabel('time')
ax_dec.set_ylabel('value')
ax_dec.set_title('Decimated Signal')
t = np.arange(0, 1.1, 1.0/self._config.sample_rate)
if len(t) > 3:
t_interp = np.linspace(np.min(t), np.max(t), OVERSAMPLING_LEN)
else:
t_interp = np.zeros((0,))
x_inp = self._config.calc_input_signal(t)
t_inp_dec, x_inp_dec = self._config.calc_decimated_bypassed_signal(t)
if len(t) > 3:
fn_inp_interp = make_interp_spline(t, x_inp)
x_inp_interp = fn_inp_interp(t_interp)
else:
x_inp_interp = np.zeros((0,))
if self._config.have_filter():
x_flt = self._config.calc_filtered_signal(t)
if len(t) > 3:
fn_flt_interp = make_interp_spline(t, x_flt)
x_flt_interp = fn_flt_interp(t_interp)
else:
x_flt_interp = np.zeros((0,))
t_dec, x_dec = self._config.calc_decimated_signal(t)
if len(t) > 3:
fn_dec_interp = make_interp_spline(t_dec, x_dec)
x_dec_interp = fn_dec_interp(t_interp)
else:
x_dec_interp = np.zeros((0,))
ax_inp.plot(t_inp_dec, x_inp_dec, label='Input Signal (Decimated)', marker='o', linestyle='none', color='red', linewidth=1)
ax_inp.plot(t, x_inp, label='Input Signal (Sampled)', marker='x', linestyle='none', color='blue', linewidth=1)
ax_inp.plot(t_interp, x_inp_interp, label='Input Signal (Interpolated)', linestyle='dashed', color='blue', linewidth=1)
ax_inp.legend()
if self._config.have_filter():
ax_flt.plot(t_dec, x_dec, label='Filtered Signal (Decimated)', marker='o', linestyle='none', color='red', linewidth=1)
ax_flt.plot(t, x_flt, label='Filtered Signal (Sampled)', marker='x', linestyle='none', color='green', linewidth=1)
ax_flt.plot(t_interp, x_flt_interp, label='Filtered Signal (Interpolated)', linestyle='dashed', color='green', linewidth=1)
ax_flt.legend()
ax_dec.plot(t_dec, x_dec, label='Decimated Signal (Sampled)', marker='x', linestyle='none', color='red', linewidth=1)
ax_dec.plot(t_interp, x_dec_interp, label='Decimated Signal (Interpolated)', linestyle='dashed', color='red', linewidth=1)
ax_dec.legend()
self._td_fig.tight_layout()
self._td_canvas.draw()
def draw_fd(self):
self._fd_fig.clear()
if self._config.have_filter():
ax_inp = self._fd_fig.add_subplot(3, 1, 1)
else:
ax_inp = self._fd_fig.add_subplot(2, 1, 1)
ax_inp.set_xlim(-self._config.sample_rate/2, self._config.sample_rate/2)
ax_inp.set_xlabel('frequency')
ax_inp.set_ylabel('value (dB)')
ax_inp.set_title('Input Signal')
if self._config.have_filter():
ax_flt = self._fd_fig.add_subplot(3, 1, 2)
ax_flt.set_xlim(-self._config.sample_rate/2, self._config.sample_rate/2)
ax_flt.set_xlabel('frequency')
ax_flt.set_ylabel('value (dB)')
ax_flt.set_title('Signal After Anti-Aliasing Filter')
ax_dec = self._fd_fig.add_subplot(3, 1, 3)
else:
ax_dec = self._fd_fig.add_subplot(2, 1, 2)
ax_dec.set_xlim(-self._config.sample_rate/(self._config.decimation * 2), self._config.sample_rate/(self._config.decimation * 2))
ax_dec.set_xlabel('frequency')
ax_dec.set_ylabel('value (dB)')
ax_dec.set_title('Decimated Signal')
t = np.arange(0, FFT_LEN, 1) / self._config.sample_rate
f = swap_freq(np.fft.fftfreq(t.shape[-1], 1.0/self._config.sample_rate))
x_inp = self._config.calc_input_signal(t)
if self._config.have_filter():
x_flt = self._config.calc_filtered_signal(t)
t_dec, x_dec = self._config.calc_decimated_signal(t)
f_dec = swap_freq(np.fft.fftfreq(t_dec.shape[-1], 1.0 * self._config.decimation / self._config.sample_rate))
ax_inp.plot(f, abs_log_fft(x_inp), label='Input Signal', linestyle='solid', color='blue', linewidth=1)
ax_inp.legend()
if self._config.have_filter():
ax_flt.plot(f, abs_log_fft(x_flt), label='Filtered Signal', linestyle='solid', color='green', linewidth=1)
ax_flt.legend()
ax_dec.plot(f_dec, abs_log_fft(x_dec), label='Decimated Signal', linestyle='solid', color='red', linewidth=1)
ax_dec.legend()
self._fd_fig.tight_layout()
self._fd_canvas.draw()
class Ch06DownSamplingWindow(Window):
GROUP = Ch06Group
TITLE = 'Down Sampling'
FRAME = Ch06DownSamplingFrame
if __name__ == '__main__':
Ch06DownSamplingWindow.main()