Repository navigation
Expand file tree
/
Copy pathTask2.py
More file actions
319 lines (261 loc) · 12.4 KB
/
Copy pathTask2.py
File metadata and controls
319 lines (261 loc) · 12.4 KB
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
import streamlit as st
import numpy as np
import matplotlib.pyplot as plt
from scipy.interpolate import interp1d
import pandas as pd
uploaded_file = st.sidebar.file_uploader(label="", type=['csv'])
sidebar_col1,sidebar_col2 = st.sidebar.columns((125,125))
freq_slider = sidebar_col1.slider("Frequency", 1, 10, 1, 1, key='freq')
amp_slider = sidebar_col1.slider("Amplitude", 1, 10, 1, 1, key='amp')
noise_checkbox=sidebar_col2.checkbox(label='Noise')
snr = sidebar_col1.slider("SNR",value=50,min_value=0,max_value=50,step=5 )
if uploaded_file is not None:
sampling_csv = sidebar_col2.checkbox('Sample')
reconstruct_csv=sidebar_col2.checkbox("Reconstruct", key="reconstruct_signal_checkbox")
sampling_freq_csv=sidebar_col2.slider(label="Sampling Frequency (HZ)",min_value=float(1),max_value=float(5),value=float(5))
df = pd.read_csv(uploaded_file)
def csv_sampling(dataframe):
frequency=sampling_freq_csv
period=1/frequency
no_cycles=dataframe.iloc[:,0].max()/period
nyquist_freq=2*frequency
no_points=dataframe.shape[0]
points_per_cycle=no_points/no_cycles
step=points_per_cycle/nyquist_freq
sampling_time=[]
sampling_amplitude=[]
for i in range(int(step/2), int(no_points), int(step)):
sampling_time.append(dataframe.iloc[i, 0])
sampling_amplitude.append(dataframe.iloc[i, 1])
global sampling_points
sampling_points=pd.DataFrame({"time": sampling_time, "amplitude": sampling_amplitude})
return sampling_points
def csv_interpolation(df, sampling_points):
time = df['time']
amplitude = df['amplitude']
sampled_time = sampling_points['time']
sampled_amplitude = sampling_points['amplitude']
T = (sampled_time[1] - sampled_time[0])
sincM = np.tile(time, (len(sampled_time), 1)).T - np.tile(sampled_time, (len(time), 1))
yNew = np.dot(np.sinc(sincM/T), sampled_amplitude)
reconstructed_signal = pd.DataFrame({"time": time, "amplitude": yNew})
difference = amplitude - reconstructed_signal["amplitude"]
return reconstructed_signal, difference
def csv_plot(df):
amplitude = df['amplitude']
time = df['time']
dataframe_noise=pd.DataFrame({"time": time, "amplitude": amplitude})
fig,ax= plt.subplots()
if noise_checkbox:
power=df['amplitude']**2
signal_average_power=np.mean(power)
signal_averagePower_db=10*np.log10(signal_average_power)
noise_db=signal_averagePower_db-snr
noise_watts=10**(noise_db/10)
mean_noise=0
noise=np.random.normal(mean_noise,np.sqrt(noise_watts),len(df['amplitude']))
noise_signal=df['amplitude']+noise
dataframe_noise=pd.DataFrame({"time": time, "amplitude": noise_signal})
ax.plot(time, noise_signal,color='black' ,label="Original Signal")
ax.set_xlabel("Time")
ax.set_ylabel("Amplitude")
ax.set_xlim([0, 3])
ax.set_ylim([-1, 1])
if sampling_csv==0:
ax.legend(loc="upper right", fontsize=8.5, bbox_to_anchor=(1.1, 1.05))
else:
ax.plot(time, amplitude,color='black' ,label="Original Signal")
ax.set_xlabel("Time")
ax.set_ylabel("Amplitude")
ax.set_xlim([0, 3])
ax.set_ylim([-1, 1])
if sampling_csv==0:
ax.legend(loc="upper right", fontsize=8.5, bbox_to_anchor=(1.1, 1.05))
if sampling_csv==1:
sampling_points=csv_sampling(dataframe_noise)
ax.plot(sampling_points['time'], sampling_points['amplitude'],'ro',label="Sampling Points")
ax.legend(loc="upper right", fontsize=8.5, bbox_to_anchor=(1.1, 1.05))
if reconstruct_csv:
fig,ax= plt.subplots(ncols=2,nrows=2)
fig_diff,ax_diff= plt.subplots()
fig.subplots_adjust(wspace=0.4, hspace=0.4)
reconstructed_signal, difference = csv_interpolation(dataframe_noise, sampling_points)
ax[0,1].plot(reconstructed_signal['time'], reconstructed_signal['amplitude'], color='orange', label='Reconstructed Signal')
ax[0,1].set_xlabel('Time')
ax[0,1].set_ylabel('Amplitude')
ax[0,1].set_xlim([0, 3])
ax[0,1].set_ylim([-0.5, 0.5])
ax[0,1].legend(loc='upper right', fontsize=8.5, bbox_to_anchor=(1.1, 1.05))
if noise_checkbox:
ax[0,0].plot(time, noise_signal,color='black' ,label="Original Signal")
ax[0,0].set_xlabel("Time")
ax[0,0].set_ylabel("Amplitude")
ax[0,0].set_xlim([0, 3])
ax[0,0].set_ylim([-0.5, 0.5])
ax[0,0].legend(loc="upper right", fontsize=8.5, bbox_to_anchor=(1.1, 1.05))
if sampling_csv==1:
sampling_points=csv_sampling(dataframe_noise)
ax[0,0].plot(sampling_points['time'], sampling_points['amplitude'],'ro',label="Sampling Points")
ax[0,0].legend(loc="upper right", fontsize=8.5, bbox_to_anchor=(1.1, 1.05))
ax_diff.plot(reconstructed_signal['time'], difference, label='Difference')
ax_diff.set_xlabel('Time')
ax_diff.set_ylabel('Amplitude')
ax_diff.set_xlim([0, 3])
ax_diff.set_ylim([-1, 1])
ax_diff.legend(loc="upper right", fontsize=8.5, bbox_to_anchor=(1.1, 1.05))
ax[1,0].remove()
ax[1,1].remove()
else:
ax[0,0].plot(time, amplitude,color='black' ,label="Original Signal")
ax[0,0].set_xlabel("Time")
ax[0,0].set_ylabel("Amplitude")
ax[0,0].set_xlim([0, 3])
ax[0,0].set_ylim([-0.5, 0.5])
ax[0,0].legend(loc="upper right", fontsize=8.5, bbox_to_anchor=(1.1, 1.05))
if sampling_csv==1:
sampling_points=csv_sampling(dataframe_noise)
ax[0,0].plot(sampling_points['time'], sampling_points['amplitude'],'ro',label="Sampling Points")
ax[0,0].legend(loc="upper right", fontsize=8.5, bbox_to_anchor=(1.1, 1.05))
ax_diff.plot(reconstructed_signal['time'], difference, label='Difference')
ax_diff.set_xlabel('Time')
ax_diff.set_ylabel('Amplitude')
ax_diff.set_xlim([0, 3])
ax_diff.set_ylim([-1, 1])
ax_diff.legend(loc="upper right", fontsize=8.5, bbox_to_anchor=(1.1, 1.05))
ax[1,0].remove()
ax[1,1].remove()
st.pyplot(fig)
st.pyplot(fig_diff)
else:
st.pyplot(fig)
try:
csv_plot(df)
except Exception as e:
print(e)
def composer_sampling(fsample, t, sin):
time_range = (max(t) - min(t))
samp_rate = int((len(t) / time_range) / fsample)
if samp_rate == 0:
samp_rate = 1
samp_time = t[::samp_rate]
samp_amp = sin[::samp_rate]
# Interpolate to match length of samp_time
interp_fn = interp1d(samp_time, samp_amp, kind='linear', fill_value='extrapolate')
samp_amp = interp_fn(samp_time)
return samp_time, samp_amp
def composer_interpolation(nt_array, sampled_amplitude, time):
if len(nt_array) != len(sampled_amplitude):
raise Exception('x and s must be the same length')
T = (sampled_amplitude[1] - sampled_amplitude[0])
sincM = np.tile(time, (len(sampled_amplitude), 1)).T - np.tile(sampled_amplitude, (len(time), 1))
y_new = np.dot(np.sinc(sincM/T), nt_array.T)
return y_new
if 'noise' not in st.session_state:
st.session_state.noise = False
def plot_signals(signals):
if (sampling==0 and reconstruct==0)or(sampling==1 and reconstruct==0) or (sampling==0 and reconstruct==1):
fig, ax = plt.subplots(ncols=2,figsize=(10, 5), gridspec_kw={'width_ratios': [3, 1]})
fig_diff,ax_diff=plt.subplots()
else:
fig, ax = plt.subplots(ncols=2,figsize=(20, 5), gridspec_kw={'width_ratios': [1, 1]})
fig_diff,ax_diff=plt.subplots()
ax[0].set_xlabel("Time")
ax[0].set_ylabel("Amplitude")
ax[1].set_xlabel("Time")
ax[1].set_ylabel("Amplitude")
ax_diff.set_xlabel("Time")
ax_diff.set_ylabel("Amplitude")
samp_time = []
samp_amp = []
for i, (freq, amp) in enumerate(signals):
num_periods = freq
x = np.linspace(0, num_periods/freq, 100*num_periods)
y = amp * np.sin(2 * np.pi * freq * x)
#line, = ax[0].plot(x, y, label=f"Signal {i+1}")
if signals:
sum_y = np.zeros_like(y)
for freq, amp in signals:
sum_y += amp * np.sin(2 * np.pi * freq * x)
if st.session_state.noise:
snr = st.session_state.snr
signal_power = np.sum(sum_y ** 2) / len(sum_y)
noise_power = signal_power / (10 ** (snr/10))
noise = np.random.normal(0, np.sqrt(noise_power), len(sum_y))
sum_y += noise
sum_line, = ax[0].plot(x, sum_y, label="Signal Sum")
if st.session_state.reconstruct_signal:
interpolated_time = np.linspace(0, max(x), freq*100)
if sampling:
samp_freq = sampling_freq
samp_time, samp_amp = composer_sampling(samp_freq, x, sum_y)
y_new = composer_interpolation(samp_amp, samp_time, interpolated_time)
ax[1].plot(interpolated_time, y_new, 'orange', label='Reconstructed Signal')
ax[0].plot(samp_time, samp_amp, 'ro', label='Sampled points')
ax[0].legend(loc="upper right", fontsize=20, bbox_to_anchor=(1.1, 1.05))
difference=sum_y-y_new
ax_diff.plot(difference, 'blue', label='Difference')
ax_diff.legend(loc="upper right", fontsize=8.5, bbox_to_anchor=(1.1, 1.05))
else:
ax[1].remove()
ax_diff.remove()
ax[1].legend(loc="upper right", fontsize=20, bbox_to_anchor=(1.1, 1.05))
elif sampling:
samp_freq = sampling_freq
samp_time, samp_amp = composer_sampling(samp_freq, x, sum_y)
ax[0].plot(samp_time, samp_amp, 'ro', label='Sampled points')
ax[0].legend(loc="upper right", fontsize=8.5, bbox_to_anchor=(1.1, 1.05))
ax[1].remove()
ax_diff.remove()
else:
samp_time = x
samp_amp = sum_y
ax[0].legend(loc="upper right", fontsize=8.5, bbox_to_anchor=(1.1, 1.05))
ax[1].remove()
ax_diff.remove()
return fig,fig_diff
if "signals" not in st.session_state:
st.session_state.signals = []
st.session_state.reconstruct_signal = False
sampling = st.session_state.get("sampling", False)
# Calculate the maximum frequency from the currently drawn signals
if st.session_state.signals:
max_freq = max([freq for freq, amp in st.session_state.signals])
else:
max_freq = 10
if uploaded_file is None:
sampling= sidebar_col2.checkbox('Sample')
reconstruct=sidebar_col2.checkbox("Reconstruct", key="reconstruct_signal_checkbox")
if st.session_state.signals:
max_freq = max([freq for freq, amp in st.session_state.signals])
else:
max_freq = 10
if noise_checkbox:
st.session_state.snr = snr
st.session_state.noise = True
else:
st.session_state.noise = False
if "reconstruct_signal_checkbox" in st.session_state:
st.session_state.reconstruct_signal = st.session_state.reconstruct_signal_checkbox
if sidebar_col1.button("Add"):
st.session_state.signals.append((freq_slider, amp_slider))
if st.session_state.signals:
max_freq = max([freq for freq, amp in st.session_state.signals])
sampling_options=["actual","normalized"]
sampling_chosen=sidebar_col2.selectbox("Sampling Frequency",sampling_options)
if sampling_chosen=="actual":
sampling_freq_slider_actual = sidebar_col2.slider("Sampling Frequency (Hz)", min_value=float(0.5*max_freq), max_value=float(4*max_freq), step=float(1))
sampling_freq=sampling_freq_slider_actual
elif sampling_chosen=="normalized":
sampling_freq_slider_normalized=sidebar_col2.slider("Sampling Frequency (Fmax)", min_value=1, max_value=20, step=1)
sampling_freq=sampling_freq_slider_normalized*max_freq
signal_options = [f"Signal {i+1}" for i in range(len(st.session_state.signals))]
signal_to_delete = sidebar_col2.selectbox("Signal to delete", signal_options)
if sidebar_col1.button("Delete"):
signal_index = signal_options.index(signal_to_delete)
st.session_state.signals.pop(signal_index)
st.experimental_rerun()
if st.session_state.signals:
plot,difference = plot_signals(st.session_state.signals)
st.pyplot(plot)
if reconstruct==1:
st.pyplot(difference)