petspats/pyha

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pyha/cores/cordic/nco/nco.ipynb

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Maintainability
Test Coverage
{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "$.getScript('https://kmahelona.github.io/ipython_notebook_goodies/ipython_notebook_toc.js')"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%javascript\n",
    "$.getScript('https://kmahelona.github.io/ipython_notebook_goodies/ipython_notebook_toc.js')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<h1 id=\"tocheading\">Table of Contents</h1>\n",
    "<div id=\"toc\"></div>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "%load_ext autoreload\n",
    "%autoreload 2\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "plt.rcParams['figure.figsize'] = 15, 5\n",
    "import numpy as np\n",
    "np.random.seed(0)\n",
    "from pyha import *\n",
    "import scipy\n",
    "from scipy import signal\n",
    "\n",
    "import warnings\n",
    "warnings.filterwarnings('ignore') # because they include system path -> fails unit tests on different computer\n",
    "\n",
    "simulations = ['MODEL', 'HARDWARE']"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Applications"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "from pyha.cores import NCO\n",
    "from pyha.cores.util import *\n",
    "plt.rcParams['figure.figsize'] = 15, 5"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## IQ generator"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "period = 2\n",
    "fs = 1024\n",
    "freq = 200\n",
    "phase_inc = 2 * np.pi * freq / fs\n",
    "phase_cumsum = np.arange(0, period * fs * phase_inc, phase_inc)\n",
    "input_signal = np.diff(phase_cumsum) / np.pi"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "INFO:sim:Converting model to hardware types ...\n",
      "INFO:sim:Enabled fast simulation (model cannot be converted to VHDL)\n",
      "INFO:sim:Running \"MODEL\" simulation...\n",
      "INFO:sim:OK!\n",
      "INFO:sim:Converting simulation inputs to hardware types...\n",
      "INFO:sim:Running \"PYHA\" simulation...\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "100%|██████████| 2064/2064 [00:00<00:00, 2332.07it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "INFO:sim:OK!\n",
      "INFO:sim:Simulations completed!\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "# NBVAL_IGNORE_OUTPUT\n",
    "dut = NCO(cordic_iterations=14)\n",
    "sims = simulate(dut, input_signal, simulations=simulations)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "SNR: 81.36 dB\n"
     ]
    }
   ],
   "source": [
    "print(f\"SNR: {snr(sims['MODEL'], sims['HARDWARE']):.2f} dB\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.title('Frequency domain')\n",
    "for key, value in sims.items():\n",
    "    plt.magnitude_spectrum(value, scale='dB', label=key)\n",
    "show_plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Other applications\n",
    "This core can be used to implement phase/amplitude modulators. This will be covered on the documentation of those cores."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Limitations"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Fixed-point\n",
    "Expects standard FPGA Fixed point format i.e 18 bits (incl. sign) and scaled to -1...1 range."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Minimum number representabe: 7.62939453125e-06\n"
     ]
    }
   ],
   "source": [
    "print(f'Minimum number representabe: {2**-17}')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Synthesis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "INFO:sim:Converting model to hardware types ...\n",
      "INFO:sim:Converting simulation inputs to hardware types...\n",
      "INFO:sim:Running \"PYHA\" simulation...\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "100%|██████████| 2064/2064 [00:03<00:00, 661.78it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "INFO:sim:OK!\n",
      "INFO:sim:Running \"RTL\" simulation...\n",
      "INFO:conversion:Creating top.vhd ...\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "INFO:conversion:Cordic to VHDL ...\n",
      "INFO:conversion:NCO to VHDL ...\n",
      "INFO:sim:Running COCOTB & GHDL simulation....\n",
      "INFO:sim:OK!\n",
      "INFO:sim:Running \"GATE\" simulation...\n",
      "INFO:conversion:Creating top.vhd ...\n",
      "INFO:conversion:Cordic to VHDL ...\n",
      "INFO:conversion:NCO to VHDL ...\n",
      "INFO:sim:Running quartus map...will take time.\n",
      "INFO:sim:Analysis & Synthesis Status : Successful - Fri Aug 24 13:31:06 2018\n",
      "INFO:sim:Quartus Prime Version : 18.0.0 Build 614 04/24/2018 SJ Lite Edition\n",
      "INFO:sim:Revision Name : quartus_project\n",
      "INFO:sim:Top-level Entity Name : top\n",
      "INFO:sim:Family : Cyclone IV E\n",
      "INFO:sim:Total logic elements : 1,303\n",
      "INFO:sim:    Total combinational functions : 1,262\n",
      "INFO:sim:    Dedicated logic registers : 828\n",
      "INFO:sim:Total registers : 828\n",
      "INFO:sim:Total pins : 56\n",
      "INFO:sim:Total virtual pins : 0\n",
      "INFO:sim:Total memory bits : 0\n",
      "INFO:sim:Embedded Multiplier 9-bit elements : 0\n",
      "INFO:sim:Total PLLs : 0\n",
      "INFO:sim:Running netlist writer.\n",
      "INFO:sim:Running COCOTB & GHDL simulation....\n",
      "INFO:sim:OK!\n",
      "INFO:sim:Simulations completed!\n",
      "INFO:sim:Testing hardware simulations equality...\n",
      "INFO:sim:sims_close(rtol=1e-16, atol=1e-16)\n",
      "INFO:sim:Using \"PYHA\" as golden output\n",
      "INFO:sim:PYHA OK!\n",
      "INFO:sim:RTL OK!\n",
      "INFO:sim:GATE OK!\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Logic elements: 1303\n",
      "Memory: 0\n",
      "Multipler (18bit): 0\n"
     ]
    }
   ],
   "source": [
    "# NBVAL_SKIP\n",
    "output_dir = '/tmp/pyha_output'\n",
    "dut = NCO()\n",
    "sims = simulate(dut, input_signal, simulations=['HARDWARE', 'RTL', 'NETLIST'], conversion_path=output_dir)\n",
    "\n",
    "assert hardware_sims_equal(sims)\n",
    "\n",
    "lut, mem, mul = get_resource_usage()\n",
    "print(f'Logic elements: {lut}')\n",
    "print(f'Memory: {mem}')\n",
    "print(f'Multipler (18bit): {mul//2}')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}