feat: Ch04 Windowing
Change-Id: I354031c26f2ca819d1381c4637b9c60911372cea
diff --git a/dcs/frames/__init__.py b/dcs/frames/__init__.py
index 32f55c8..f365349 100644
--- a/dcs/frames/__init__.py
+++ b/dcs/frames/__init__.py
@@ -13,6 +13,7 @@
from .ch03_cross import Ch03CrossCorrelationWindow
from .ch03_psd import Ch03PsdWindow
from .ch04_sampling import Ch04SamplingWindow
+from .ch04_window import Ch04WindowWindow
def get_windows() -> List[Type[base.Window]]:
@@ -23,6 +24,7 @@
Ch03CrossCorrelationWindow,
Ch03PsdWindow,
Ch04SamplingWindow,
+ Ch04WindowWindow,
]
diff --git a/dcs/frames/ch04_window.py b/dcs/frames/ch04_window.py
new file mode 100644
index 0000000..48ce4ee
--- /dev/null
+++ b/dcs/frames/ch04_window.py
@@ -0,0 +1,254 @@
+# 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, Listbox, LEFT, BOTH
+from pydantic import confloat
+from dcs.config import default_store, ConfigObject, ui_create, ConfigControlFrame
+import numpy as np
+import scipy.signal.windows
+from dcs.frames.base import BaseFrame, Window
+from dcs.frames.groups import Ch04Group
+from dcs.utils import swap_freq, abs_log_fft
+from typing import List
+from enum import Enum
+
+import matplotlib
+matplotlib.use('TkAgg')
+from matplotlib.figure import Figure
+from matplotlib.backends.backend_tkagg import FigureCanvasTkAgg
+
+
+LENGTH = 256
+WINDOW_OVERSAMPLING = 64
+
+
+@ui_create
+class Function(ConfigObject):
+ freq: confloat(ge=0.0, lt=128.0, multiple_of=0.01) = 1.0
+ amplitude: confloat(ge=-100.0, lt=10.0, multiple_of=0.01) = 0.0
+ phase: confloat(ge=-180.0, le=180.0, multiple_of=0.1) = 0.0
+
+ def make_config_widget(self, parent: ttk.Widget) -> ConfigControlFrame:
+ frm = ConfigControlFrame(parent, borderwidth=1, relief='raised')
+
+ ttk.Label(frm, text='Frequency:').grid(row=0, column=0)
+ self.ui_create_freq(frm).grid(row=0, column=1)
+ ttk.Label(frm, text=f'x sampling frequency / {LENGTH}').grid(row=0, column=2)
+
+ ttk.Label(frm, text='Amplitude:').grid(row=1, column=0)
+ self.ui_create_amplitude(frm).grid(row=1, column=1)
+ ttk.Label(frm, text='dB').grid(row=1, column=2)
+
+ ttk.Label(frm, text='Phase:').grid(row=2, column=0)
+ self.ui_create_phase(frm).grid(row=2, column=1)
+ ttk.Label(frm, text='°').grid(row=2, column=2)
+
+ return frm
+
+ def get_lin_amplitude(self) -> np.ndarray:
+ return np.power(10, (self.amplitude / 20))
+
+ def calc_signal(self, t: np.ndarray = 0) -> np.ndarray:
+ phasor = self.get_lin_amplitude() * np.exp(1j * self.phase * np.pi / 180)
+ phi = np.exp(1j * 2 * np.pi * self.freq * t)
+ return np.real(phasor * phi)
+
+ def make_title(self):
+ return f'f={self.freq}, A={self.get_lin_amplitude()}={self.amplitude}dB'
+
+
+class WindowFunc(str, Enum):
+ Rectangular = 'Rectangular'
+ Hamming = 'Hamming'
+ Blackman = 'Blackman'
+ Bartlett = 'Bartlett'
+ Hann = 'Hann'
+ Gaussian_025 = 'Gaussian (sigma = 0.25)'
+ Gaussian_0125 = 'Gaussian (sigma = 0.125)'
+ Gaussian_00625 = 'Gaussian (sigma = 0.0625)'
+
+
+class ConfigCh04WindowFrame(ConfigControlFrame):
+ wdg_funcs: Listbox
+ wdg_window: ttk.OptionMenu
+ wgd_win_sampling_delay: ttk.Spinbox
+
+
+@ui_create
+class ConfigCh04Window(ConfigObject):
+ _KEY = 'ch04_window'
+
+ functions: List[Function] = [
+ Function(),
+ ]
+ window: WindowFunc = WindowFunc.Rectangular
+ win_sampling_delay: confloat(ge=0.0, lt=1.0, multiple_of=0.01) = 0.25
+
+ def make_config_widget(self, parent: ttk.Widget) -> ConfigControlFrame:
+ frm = ConfigCh04WindowFrame(parent, borderwidth=1, relief='raised')
+
+ frm1 = ttk.Frame(frm)
+ frm1.pack()
+
+ ttk.Label(frm1, text='Window:').grid(row=0, column=0)
+ frm.wdg_window = self.ui_create_window_dropdown(frm1)
+ frm.wdg_window.grid(row=0, column=1)
+
+ ttk.Label(frm1, text='Window Sampling Delay:').grid(row=1, column=0)
+ frm.wgd_win_sampling_delay = self.ui_create_win_sampling_delay(frm1)
+ frm.wgd_win_sampling_delay.grid(row=1, column=1)
+ ttk.Label(frm1, text='x 360°').grid(row=1, column=2)
+
+ ttk.Label(frm, text='Functions:').pack()
+ frm.wdg_funcs = self.ui_create_functions_list(frm, lambda e: e.make_title())
+ frm.wdg_funcs.pack()
+
+ return frm
+
+
+class Ch04WindowFrame(BaseFrame):
+ def __init__(self, *args, **kwargs):
+ super().__init__(*args, **kwargs)
+
+ self._config: ConfigCh04Window = default_store().get_config(ConfigCh04Window)
+
+ ctrl_frm = self._create_control()
+ ctrl_frm.pack(side=LEFT)
+
+ signal_frm = self._create_signal_canvas()
+ signal_frm.pack(expand=True, fill=BOTH)
+
+ def _create_control(self) -> ConfigCh04Window:
+ frm: ConfigCh04Window = self._config.make_config_widget(self)
+ frm.wdg_funcs.listen_change(self._on_change)
+ frm.wdg_window.listen_change(self._on_change)
+ frm.wgd_win_sampling_delay.listen_change(self._on_change)
+ return frm
+
+ def _on_change(self, _, __, ___):
+ default_store().save()
+ self.draw_signal()
+
+ def _create_signal_canvas(self) -> ttk.Widget:
+ frm = ttk.Frame(self)
+
+ self._signal_fig = Figure(figsize=(12, 6), dpi=100)
+
+ self._signal_canvas = FigureCanvasTkAgg(self._signal_fig, frm)
+ self._signal_canvas.get_tk_widget().pack(expand=True, fill=BOTH)
+
+ self.draw_signal()
+
+ return frm
+
+ def draw_signal(self):
+ self._signal_fig.clear()
+ ax_sig_td = self._signal_fig.add_subplot(2, 2, 1)
+ ax_sig_td.set_xlim(-0.2, 1.2)
+ ax_sig_td.set_xlabel('time')
+ ax_sig_td.set_ylabel('value')
+ ax_sig_td.set_title('Sampled Time-Domain Signal')
+ ax_win_td = self._signal_fig.add_subplot(2, 2, 2)
+ ax_win_td.set_xlim(-0.2, 1.2)
+ ax_win_td.set_ylim(-0.2, 1.2)
+ ax_win_td.set_xlabel('time')
+ ax_win_td.set_ylabel('value')
+ ax_win_td.set_title('Window Time-Domain')
+ ax_sig_fd = self._signal_fig.add_subplot(2, 2, 3)
+ ax_sig_fd.set_xlim(-int(LENGTH/4) - 1, int(LENGTH/4) + 1)
+ ax_sig_fd.set_ylim(-120.0, 23.0)
+ ax_sig_fd.set_xlabel('frequency')
+ ax_sig_fd.set_ylabel('value (logarithmic)')
+ ax_sig_fd.set_title('Frequency-Domain of Windowed Signal')
+ ax_win_fd = self._signal_fig.add_subplot(2, 2, 4)
+ ax_win_fd.set_xlim(-int(LENGTH/4) - 1, int(LENGTH/4) + 1)
+ ax_win_fd.set_ylim(-180.0, 0.0)
+ ax_win_fd.set_xlabel('frequency')
+ ax_win_fd.set_ylabel('value (logarithmic)')
+ ax_win_fd.set_title('Window Frequency-Domain')
+
+ t = np.arange(0, LENGTH, 1) / LENGTH
+ f = swap_freq(np.fft.fftfreq(t.shape[-1], 1.0/LENGTH))
+ t_ovs = np.arange(0, LENGTH, (1/WINDOW_OVERSAMPLING)) / LENGTH
+ f_win_ovs = swap_freq(np.fft.fftfreq(t_ovs.shape[-1], 1.0/LENGTH))
+ f_sig_ovs = swap_freq(np.fft.fftfreq(t_ovs.shape[-1], 1.0/(LENGTH * WINDOW_OVERSAMPLING)))
+
+ x = np.zeros((len(self._config.functions), len(t)))
+ x_ovs = np.zeros((len(self._config.functions), len(t_ovs)))
+
+ for index, func in enumerate(self._config.functions):
+ x[index, :] = func.calc_signal(t)
+ x_ovs[index, :] = func.calc_signal(t_ovs)
+ func = np.sum(x, axis=0)
+ func_ovs = np.sum(x_ovs, axis=0)
+
+ func_ovs_fft = abs_log_fft(func_ovs)
+
+ if self._config.window == WindowFunc.Rectangular:
+ win = np.ones((len(t),))
+ elif self._config.window == WindowFunc.Hamming:
+ win = scipy.signal.windows.hamming(len(t))
+ elif self._config.window == WindowFunc.Blackman:
+ win = scipy.signal.windows.blackman(len(t))
+ elif self._config.window == WindowFunc.Bartlett:
+ win = scipy.signal.windows.bartlett(len(t))
+ elif self._config.window == WindowFunc.Hann:
+ win = scipy.signal.windows.hann(len(t))
+ elif self._config.window == WindowFunc.Gaussian_025:
+ win = scipy.signal.windows.gaussian(len(t), len(t)/4)
+ elif self._config.window == WindowFunc.Gaussian_0125:
+ win = scipy.signal.windows.gaussian(len(t), len(t)/8)
+ elif self._config.window == WindowFunc.Gaussian_00625:
+ win = scipy.signal.windows.gaussian(len(t), len(t)/16)
+ else:
+ raise Exception(f'Unsupported window')
+
+ func_windowed = func * win
+
+ win_ovs = np.zeros((LENGTH * WINDOW_OVERSAMPLING, ))
+ start_idx = int(LENGTH * WINDOW_OVERSAMPLING / 2) - int(LENGTH / 2)
+ for idx in range(len(t)):
+ win_ovs[start_idx + idx] = win[idx] * WINDOW_OVERSAMPLING
+ # win_ovs[idx * WINDOW_OVERSAMPLING] = win[idx]
+
+ # win_fft = 20 * np.log10(np.abs(self._swap(np.fft.fft(win))) / len(win))
+ win_ovs_fft = abs_log_fft(win_ovs)
+ win_fft = np.zeros((len(win), ))
+ win_180_fft = np.zeros((len(win), ))
+ win_tau_fft = np.zeros((len(win), ))
+ win_idx_delay = int(self._config.win_sampling_delay * WINDOW_OVERSAMPLING)
+ win_phase_delay = np.round(360.0 * win_idx_delay / WINDOW_OVERSAMPLING)
+ win_frac_delay = np.round(10000.0 * win_idx_delay / WINDOW_OVERSAMPLING) / 10000.0
+ for idx in range(len(win)):
+ win_fft[idx] = win_ovs_fft[idx * WINDOW_OVERSAMPLING]
+ win_180_fft[idx] = win_ovs_fft[idx * WINDOW_OVERSAMPLING + int(WINDOW_OVERSAMPLING/2)]
+ win_tau_fft[idx] = win_ovs_fft[idx * WINDOW_OVERSAMPLING + win_idx_delay]
+
+ func_windowed_fft = abs_log_fft(func_windowed)
+
+ ax_sig_td.plot(t, func, label='Time-Domain', linestyle='solid', linewidth=1)
+ ax_sig_fd.plot(f, func_windowed_fft, label='Frequency-Domain Windows', linestyle='solid', linewidth=1)
+ ax_win_td.plot(t, win, label='Time-Domain', linestyle='solid', linewidth=1)
+ ax_win_fd.plot(f_win_ovs, win_ovs_fft, label='Window', linestyle='solid', linewidth=1)
+ ax_win_fd.plot(f, win_fft, label='Window Sampled', linestyle='dashed', linewidth=1)
+ ax_win_fd.plot(f, win_180_fft, label='Window Sampled (180° shift)', linestyle='dashed', linewidth=1)
+ ax_win_fd.plot(f, win_tau_fft, label=f'Window Sampled ({win_frac_delay} x 360° = {win_phase_delay}° shift)', linestyle='dashed', linewidth=1)
+ ax_win_fd.legend()
+
+ self._signal_canvas.draw()
+
+
+class Ch04WindowWindow(Window):
+ GROUP = Ch04Group
+ TITLE = 'Windowing'
+ FRAME = Ch04WindowFrame
+
+
+if __name__ == '__main__':
+ Ch04WindowWindow.main()
+