"
]
},
"execution_count": 38,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#------------------------------\n",
"# Signal and Signal operations \n",
"# (Returns another signal, the shape of the signals \n",
"# should be numpy compatible to perform operations)\n",
"#------------------------------\n",
"signal = signal1 + 2 * signal2\n",
"signal.plot()"
]
},
{
"cell_type": "code",
"execution_count": 39,
"id": "1f2a0320-c9d2-4895-af22-bbcc43fd088d",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"
"
]
},
"execution_count": 39,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#------------------------------\n",
"# Transformations like sin, cos, ...\n",
"# If there are operations that are not yet available, \n",
"# please let us know to implement those operations.\n",
"# While performing `np.` methods \n",
"# please verify if the behavior is as expected.\n",
"#------------------------------\n",
"signal = (1.1 + signal2).log()\n",
"signal.plot()"
]
},
{
"cell_type": "code",
"execution_count": 40,
"id": "981c18c5-9868-4999-b966-6da658acf9a1",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Signal([0.09531, 0.7419, 0.7419, ..., 2.303, 2.303, 2.303], shape=(10000,), kind=AudioSignal)"
]
},
"execution_count": 40,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#------------------------------\n",
"# modusa signals are numpy compatible which \n",
"# mean you can apply np operations directy on\n",
"# them and still get signal object.\n",
"# However, there should be a wrapper for most\n",
"# common numpy operations, so you should first\n",
"# try use that.\n",
"#------------------------------\n",
"import numpy as np\n",
"np.abs(signal)"
]
},
{
"cell_type": "code",
"execution_count": 41,
"id": "35678ab1-0f1d-4196-adda-6c4cd25fb175",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
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