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path: root/IQ/Lab/LoadIQ.ipynb
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{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "511d71f5",
   "metadata": {},
   "outputs": [],
   "source": [
    "import sys\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib\n",
    "import matplotlib.pylab as pylab\n",
    "import matplotlib.pyplot as plot\n",
    "import scipy.fftpack\n",
    "from scipy.signal import butter,filtfilt"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c3fd4cab-8cf6-4803-b5e8-cf966f0e1f24",
   "metadata": {},
   "source": [
    "Load all data formats and check if they looks ok. All with same apmplitude and\n",
    "frquency but in different saved binary formats"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "74f26874",
   "metadata": {},
   "source": [
    "# Load data u8\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "206500c0",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "u8 sample num 128\n",
      "\n",
      "s8 sample num 128\n",
      "\n",
      "s16 sample num 128\n",
      "\n",
      "u16 sample num 128\n",
      "\n"
     ]
    }
   ],
   "source": [
    "SAMPLE_TOTAL=128\n",
    "\n",
    "#FILE_IN_S8=\"./sin/out.s8\"\n",
    "FILE_IN_S8=\"/Users/jackyjack/Downloads/dsp_tests/sin/out.s8\"\n",
    "FILE_IN_U8=\"/Users/jackyjack/Downloads/dsp_tests/sin/out.u8\"\n",
    "FILE_IN_S16=\"/Users/jackyjack/Downloads/dsp_tests/sin/out.s16\"\n",
    "FILE_IN_U16=\"/Users/jackyjack/Downloads/dsp_tests/sin/out.u16\"\n",
    "#FILE_IN2=\"../prog/c/siggen/out.bit16\"\n",
    "#sample1 = np.fromfile(FILE_IN1, np.int16, count=SAMPLE_TOTAL).astype(np.float32).view(np.complex64)\n",
    "sample_u8 = np.fromfile(FILE_IN_U8, np.uint8, count=SAMPLE_TOTAL*2).astype(np.float32).view(np.complex64)\n",
    "sample_s8 = np.fromfile(FILE_IN_S8, np.int8, count=SAMPLE_TOTAL*2).astype(np.float32).view(np.complex64)\n",
    "sample_s16 = np.fromfile(FILE_IN_S16, np.int16, count=SAMPLE_TOTAL*2).astype(np.float32).view(np.complex64)\n",
    "sample_u16 = np.fromfile(FILE_IN_U16, np.uint16, count=SAMPLE_TOTAL*2).astype(np.float32).view(np.complex64)\n",
    "print(\"u8 sample num %d\\n\"%(len(sample_u8)))\n",
    "print(\"s8 sample num %d\\n\"%(len(sample_s8)))\n",
    "print(\"s16 sample num %d\\n\"%(len(sample_s16)))\n",
    "print(\"u16 sample num %d\\n\"%(len(sample_u16)))\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "abdc4d31-287c-4180-a1ab-1bddb8ba934b",
   "metadata": {},
   "source": [
    "# Load data s8"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c8b1a1d3-26c6-457a-9c27-6cc93e942555",
   "metadata": {},
   "source": [
    "# Load data s16"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "02bae342-06d4-4bb9-b0b9-af71ab642b6c",
   "metadata": {},
   "source": [
    "# Load data sc16q11"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c71575e1",
   "metadata": {},
   "source": [
    "# Do fft"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "483d0e14",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/opt/anaconda3/lib/python3.12/site-packages/matplotlib/cbook.py:1762: ComplexWarning: Casting complex values to real discards the imaginary part\n",
      "  return math.isfinite(val)\n",
      "/opt/anaconda3/lib/python3.12/site-packages/matplotlib/cbook.py:1398: ComplexWarning: Casting complex values to real discards the imaginary part\n",
      "  return np.asarray(x, float)\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#signed 8\n",
    "xf = np.linspace(0.0,1.0/(SAMPLE_TOTAL*2),SAMPLE_TOTAL)\n",
    "plot.plot(xf,sample_s8)\n",
    "plot.title(\"SIgnal s8\")\n",
    "plot.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "4f4c53bf-31d8-4ef0-9017-be25ae5a513d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# unsigned 8\n",
    "xf = np.linspace(0.0,1.0/(SAMPLE_TOTAL*2),SAMPLE_TOTAL)\n",
    "plot.plot(xf,sample_u8)\n",
    "plot.title(\"Signal u8\")\n",
    "plot.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "a7ecc2a6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "xf = np.linspace(0.0,1.0/(SAMPLE_TOTAL),SAMPLE_TOTAL)\n",
    "plot.plot(xf,sample_u16)\n",
    "plot.title(\"Signal u16\")\n",
    "plot.show()\n",
    "\n",
    "xf = np.linspace(0.0,1.0/(SAMPLE_TOTAL),SAMPLE_TOTAL)\n",
    "plot.plot(xf,sample_s16)\n",
    "plot.title(\"SIgnal s16\")\n",
    "plot.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "4380a177",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "yfft = scipy.fftpack.fft(sample_u8)\n",
    "xf = np.linspace(0.0, 1.0/(2.0*(1.0/SAMPLE_TOTAL)), SAMPLE_TOTAL//2)\n",
    "#print(len(yfft))\n",
    "#print(len(yfft))\n",
    "plot.plot(xf,2.0/SAMPLE_TOTAL * np.abs(yfft[:SAMPLE_TOTAL//2]))\n",
    "plot.title(\"FFT u8\")\n",
    "plot.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "277dc29e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "yfft = scipy.fftpack.fft(sample_s8)\n",
    "xf = np.linspace(0.0, 1.0/(2.0*(1.0/SAMPLE_TOTAL)), SAMPLE_TOTAL//2)\n",
    "#print(len(yfft))\n",
    "#print(len(yfft))\n",
    "plot.plot(xf,2.0/SAMPLE_TOTAL * np.abs(yfft[:SAMPLE_TOTAL//2]))\n",
    "plot.title(\"FFT s8\")\n",
    "plot.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "bf8c57a6",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "128\n",
      "128\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "yfft = scipy.fftpack.fft(sample_s16)\n",
    "xf = np.linspace(0.0, 1.0/(2.0*(1.0/SAMPLE_TOTAL)), SAMPLE_TOTAL//2)\n",
    "#print(len(yfft))\n",
    "#print(len(yfft))\n",
    "plot.plot(xf,2.0/SAMPLE_TOTAL * np.abs(yfft[:SAMPLE_TOTAL//2]))\n",
    "plot.title(\"FFT s16\")\n",
    "plot.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "fd3589e6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "yfft = scipy.fftpack.fft(sample_u16)\n",
    "xf = np.linspace(0.0, 1.0/(2.0*(1.0/SAMPLE_TOTAL)), SAMPLE_TOTAL//2)\n",
    "#print(len(yfft))\n",
    "#print(len(yfft))\n",
    "plot.plot(xf,2.0/SAMPLE_TOTAL * np.abs(yfft[:SAMPLE_TOTAL//2]))\n",
    "plot.title(\"FFT u16\")\n",
    "plot.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "8a347970",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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