# ThorDelayAnalysis¶

## Common delay I/O¶

$$\displaystyle y(n) = \sum_{m = 0}^{M} a^{m} x(n - md)$$

## Thor's delay¶

### Parameters¶

Name Unit Min val Max val
TIME ms 0 1000
F.BACK - 0 127
RATE Hz 0.14 18.2
AMT - 0 127
D.WET - 0 127

## Rec IR¶

### Create input inpulse train¶

In [1]:
import numpy as np
import matplotlib.pyplot as plt
import pandas as pd
%matplotlib inline

#samplerate = 48 kHz, period = 1 sec, signal_length = 10 sec
fs = 48000
period = fs
length = period * 10 #10 sec

#Create IT and show
inpulse_train = np.arange(length) % period < 1
inpulse_train = inpulse_train.astype(np.float)

ser = pd.Series(inpulse_train)
ser = ser[inpulse_train > 0]
print(ser)

plt.plot(range(inpulse_train.size), inpulse_train)
plt.show()

0         1.0
48000     1.0
96000     1.0
144000    1.0
192000    1.0
240000    1.0
288000    1.0
336000    1.0
384000    1.0
432000    1.0
dtype: float64

In [2]:
import soundfile as sf

#save as wavefile
sf.write("ImpulseTrain_fs48kHz_p1sec_len10sec.wav", inpulse_train, int(fs))

ser = pd.Series(inpulse_wav)
ser = ser[inpulse_wav > 0]
print(ser)

plt.plot(range(inpulse_wav.size), inpulse_wav)
plt.show()

0         0.999969
48000     0.999969
96000     0.999969
144000    0.999969
192000    0.999969
240000    0.999969
288000    0.999969
336000    0.999969
384000    0.999969
432000    0.999969
dtype: float64


### IR rec conditions¶

InputSignal: Impulse Train (freq. 1 Hz, fs 48 kHz, bit 16, len 10 sec, Mono)
OutSignal: Input(Mono) -> Thor Filter3 (L & R) -> Thor Delay -> Out (Stereo)

## Analysis of "TIME" parameter dependence¶

### Mesurement conditions¶

Entry TIME F.BACK RATE AMT D.WET
T_0 0 0 0.14 0 0
T_1 0 0 0.14 0 127
T_2 197 0 0.14 0 127
T_3 402 0 0.14 0 127
T_4 606 0 0.14 0 127
T_5 803 0 0.14 0 127

In [3]:
def msec_to_sample_fs48kHz(t_msec):
return t_msec / 1000.0 * 48000

T_msec = [0, 197, 402, 606, 803]
T_samp = [msec_to_sample_fs48kHz(x) for x in T_msec]

index_label = ["T_1", "T_2", "T_3", "T_4", "T_5"]
df = pd.DataFrame({"msec": T_msec, "sample": T_samp}, index = index_label)

df

Out[3]:
msec sample
T_1 0 0.0
T_2 197 9456.0
T_3 402 19296.0
T_4 606 29088.0
T_5 803 38544.0

### Analysis of IRs¶

In [13]:
import numpy as np
import matplotlib.pyplot as plt
import pandas as pd
import soundfile as sf
%matplotlib inline

def extract_left_channel(stereo_wav, _):
return stereo_wav[:, 0]

T_data = []

plt.figure(figsize = (16, 4))
plt.plot(range(input_inpulse.size), input_inpulse, label = "Input")
for num, data in enumerate(T_data):
label_name = "T_" + str(num)
plt.plot(range(data.size), data, label = label_name)
plt.xlim(-fs, fs * 10)
plt.legend()
plt.show()


0-1周期目は安定していない？
3周期目を取り出して、各IRの遅延サンプル時間を特定

In [14]:
def extract_cycle(IR_list, cycle):
new_data_set = []
st = fs * cycle
en = st + fs

for data in IR_list:
new_data_set.append(data[st : en])

return new_data_set

def extract_position_intensity(IR, threshold):
s = pd.Series(IR)
return s[IR > threshold]

print(extract_position_intensity(T_data[1], 0))

#第3周期のIRを抽出
T_extract = extract_cycle(T_data, 3)

for num, data in enumerate(T_extract):
label_name = "T_" + str(num)
plt.plot(range(data.size), data)

plt.show()

#0を除外して、整理
T_ser = []
for data in T_extract:
T_ser.append(extract_position_intensity(data, 0))

df = pd.DataFrame(T_ser)
df

0         0.999969
4593      0.519989
48005     0.971466
48006     0.027710
96002     0.999969
144002    0.999969
192002    0.999969
240002    0.999969
288002    0.999969
336002    0.999969
384002    0.999969
432002    0.999969
dtype: float64

Out[14]:
0 2 9448 9449 19275 19276 29102 29103 38551 38552
0 0.999969 NaN NaN NaN NaN NaN NaN NaN NaN NaN
1 NaN 0.999969 NaN NaN NaN NaN NaN NaN NaN NaN
2 NaN NaN 0.207031 0.792938 NaN NaN NaN NaN NaN NaN
3 NaN NaN NaN NaN 0.457031 0.542938 NaN NaN NaN NaN
4 NaN NaN NaN NaN NaN NaN 0.832001 0.167969 NaN NaN
5 NaN NaN NaN NaN NaN NaN NaN NaN 0.976532 0.023438

In [15]:
import numpy as np
import matplotlib.pyplot as plt
import pandas as pd
import soundfile as sf
%matplotlib inline

def extract_right_channel(stereo_wav, _):
return stereo_wav[:, 1]

T_data = []

plt.figure(figsize = (16, 4))
plt.plot(range(input_inpulse.size), input_inpulse, label = "Input")
for num, data in enumerate(T_data):
label_name = "T_" + str(num)
plt.plot(range(data.size), data, label = label_name)
plt.xlim(-fs, fs * 10)
plt.legend()
plt.show()

def extract_cycle(IR_list, cycle):
new_data_set = []
st = fs * cycle
en = st + fs

for data in IR_list:
new_data_set.append(data[st : en])

return new_data_set

def extract_position_intensity(IR, threshold):
s = pd.Series(IR)
return s[IR > threshold]

print(extract_position_intensity(T_data[1], 0))

#第3周期のIRを抽出
T_extract = extract_cycle(T_data, 3)

for num, data in enumerate(T_extract):
label_name = "T_" + str(num)
plt.plot(range(data.size), data)

plt.show()

#0を除外して、整理
T_ser = []
for data in T_extract:
T_ser.append(extract_position_intensity(data, 0))

df = pd.DataFrame(T_ser)
df

0         0.999969
4593      0.540009
48005     0.971466
48006     0.027740
96002     0.999969
144002    0.999969
192002    0.999969
240002    0.999969
288002    0.999969
336002    0.999969
384002    0.999969
432002    0.999969
dtype: float64

Out[15]:
0 2 9448 9449 19275 19276 29102 29103 38551 38552
0 0.999969 NaN NaN NaN NaN NaN NaN NaN NaN NaN
1 NaN 0.999969 NaN NaN NaN NaN NaN NaN NaN NaN
2 NaN NaN 0.207031 0.792938 NaN NaN NaN NaN NaN NaN
3 NaN NaN NaN NaN 0.457031 0.542938 NaN NaN NaN NaN
4 NaN NaN NaN NaN NaN NaN 0.832001 0.167969 NaN NaN
5 NaN NaN NaN NaN NaN NaN NaN NaN 0.976532 0.023438

### Measured vs calced delay value¶

2周期目以降のIRの遅延サンプル時間は安定

Entry mesured calced
T_1 2.0 0.0
T_2 9448.5 9456.0
T_3 19275.5 19296.0
T_4 29102.5 29088.0
T_5 38551.5 38544.0

## Analysis of "F.Back" parameter dependence¶

### Mesurement conditions¶

Entry TIME F.BACK RATE AMT D.WET
F_0 197 0 0.14 0 127
F_1 197 20 0.14 0 127
F_2 197 40 0.14 0 127
F_3 197 60 0.14 0 127
F_4 197 80 0.14 0 127
F_5 197 100 0.14 0 127

### Analysis of IRs¶

In [25]:
import numpy as np
import matplotlib.pyplot as plt
import pandas as pd
import soundfile as sf
%matplotlib inline

def extract_left_channel(stereo_wav, _):
return stereo_wav[:, 0]

T_data = []

#plt.figure(figsize = (16, 4))
plt.plot(range(input_inpulse.size), input_inpulse, label = "Input")
for num, data in enumerate(T_data):
label_name = "T_" + str(num)
plt.plot(range(data.size), data, label = label_name)
plt.xlim(fs * 2, fs * 10)
plt.legend()
plt.show()

def extract_cycle(IR_list, cycle):
new_data_set = []
st = fs * cycle
en = st + fs

for data in IR_list:
new_data_set.append(data[st : en])

return new_data_set

def extract_position_intensity(IR, threshold):
s = pd.Series(IR)
return s[IR > threshold]

#第3周期のIRを抽出
T_extract = extract_cycle(T_data, 3)

for num, data in enumerate(T_extract):
label_name = "T_" + str(num)
plt.plot(range(data.size), data)

plt.show()

#0を除外して、整理
T_ser = []
for data in T_extract:
T_ser.append(extract_position_intensity(data, 0.05))

df = pd.DataFrame(T_ser)
df

Out[25]:
8693 8694 9448 9449 18142 18143 18897 18898 27591 27592 28346 28347 37040 37795 37796 47244 47245
0 NaN NaN 0.128906 0.871063 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN
1 NaN NaN 0.128906 0.871063 NaN NaN NaN 0.119507 NaN NaN NaN NaN NaN NaN NaN NaN NaN
2 NaN NaN 0.128906 0.871063 NaN NaN 0.070740 0.238983 NaN NaN NaN 0.065582 NaN NaN NaN NaN NaN
3 NaN NaN 0.128906 0.871063 NaN NaN 0.106110 0.358490 NaN NaN 0.065491 0.147522 NaN NaN 0.060699 NaN NaN
4 NaN NaN 0.128906 0.871063 NaN NaN 0.141449 0.477966 NaN NaN 0.116425 0.262268 NaN 0.085175 0.143921 0.058441 0.078979
5 0.117401 0.132233 0.128906 0.871063 0.093964 0.090698 0.176819 0.597473 0.073639 0.062225 0.181915 0.409790 0.056824 0.166382 0.281097 0.142639 0.192810
In [30]:
import numpy as np
import matplotlib.pyplot as plt
%matplotlib inline

x = np.array([0, 20, 40, 60, 80, 100]) / 127.0
y = np.array([0, 0.12, 0.31, 0.46, 0.62, 0.77])

plt.scatter(x, y)

Out[30]:
<matplotlib.collections.PathCollection at 0x15882480898>
In [ ]: