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@ceptreee
Last active September 24, 2018 13:21
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{
"cells": [
{
"cell_type": "code",
"execution_count": 40,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import sympy as sb\n",
"from IPython.display import Math\n",
"\n",
"sb.init_printing()\n",
"\n",
"plt.rcParams[\"font.size\"] = 12\n",
"\n",
"fac = sb.factorial\n",
"s = sb.Symbol('s')\n",
"ω = sb.Symbol('\\omega',real=True)\n",
"\n",
"N = 6"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 逆ベッセル多項式\n",
"$\\theta_n(s)= \\displaystyle{\\sum_{k=0}^n} \\frac{(n+k)!}{(n-k)!k!} \\frac{s^{n-k}}{2^k}$"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
"$$\\theta_0(s) =1$$"
],
"text/plain": [
"<IPython.core.display.Math object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/latex": [
"$$\\theta_1(s) =s + 1$$"
],
"text/plain": [
"<IPython.core.display.Math object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/latex": [
"$$\\theta_2(s) =s^{2} + 3 s + 3$$"
],
"text/plain": [
"<IPython.core.display.Math object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/latex": [
"$$\\theta_3(s) =s^{3} + 6 s^{2} + 15 s + 15$$"
],
"text/plain": [
"<IPython.core.display.Math object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/latex": [
"$$\\theta_4(s) =s^{4} + 10 s^{3} + 45 s^{2} + 105 s + 105$$"
],
"text/plain": [
"<IPython.core.display.Math object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/latex": [
"$$\\theta_5(s) =s^{5} + 15 s^{4} + 105 s^{3} + 420 s^{2} + 945 s + 945$$"
],
"text/plain": [
"<IPython.core.display.Math object>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Reverse Bessel Polynomial\n",
"def θn(n):\n",
" y = 0\n",
" for k in range(n+1):\n",
" y += fac(n+k)/(fac(n-k)*fac(k)) * (s**(n-k)/2**k)\n",
" return y\n",
"\n",
"\n",
"θ = []\n",
"for n in range(N):\n",
" θ.append(θn(n))\n",
" display(Math(r\"\\theta_%d(s) =\" % n + sb.latex(θn(n))))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## ベッセルフィルタの伝達関数\n",
"$H_n(s) = \\frac{\\theta_n(0)}{\\theta_n \\left( s/\\omega_0 \\right)}$"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
"$$H_0(s) =1$$"
],
"text/plain": [
"<IPython.core.display.Math object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/latex": [
"$$H_1(s) =\\frac{1}{s + 1}$$"
],
"text/plain": [
"<IPython.core.display.Math object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/latex": [
"$$H_2(s) =\\frac{3}{s^{2} + 3 s + 3}$$"
],
"text/plain": [
"<IPython.core.display.Math object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/latex": [
"$$H_3(s) =\\frac{15}{s^{3} + 6 s^{2} + 15 s + 15}$$"
],
"text/plain": [
"<IPython.core.display.Math object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/latex": [
"$$H_4(s) =\\frac{105}{s^{4} + 10 s^{3} + 45 s^{2} + 105 s + 105}$$"
],
"text/plain": [
"<IPython.core.display.Math object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/latex": [
"$$H_5(s) =\\frac{945}{s^{5} + 15 s^{4} + 105 s^{3} + 420 s^{2} + 945 s + 945}$$"
],
"text/plain": [
"<IPython.core.display.Math object>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# カットオフ周波数\n",
"ω0 = 1\n",
"\n",
"H = []\n",
"for n in range(N):\n",
" h = θ[n].subs(s,0) / θ[n].subs(s,s/ω0) \n",
" display(Math(r\"H_%d(s) =\" % n + sb.latex(h)))\n",
" H.append(h)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## ゲイン\n",
"$G_n(\\omega) = |H_n(j\\omega)|$"
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
"$$G_0(\\omega) =1$$"
],
"text/plain": [
"<IPython.core.display.Math object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/latex": [
"$$G_1(\\omega) =\\frac{1}{\\sqrt{\\omega^{2} + 1}}$$"
],
"text/plain": [
"<IPython.core.display.Math object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/latex": [
"$$G_2(\\omega) =\\frac{3}{\\sqrt{\\omega^{4} + 3 \\omega^{2} + 9}}$$"
],
"text/plain": [
"<IPython.core.display.Math object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/latex": [
"$$G_3(\\omega) =\\frac{15}{\\sqrt{\\omega^{6} + 6 \\omega^{4} + 45 \\omega^{2} + 225}}$$"
],
"text/plain": [
"<IPython.core.display.Math object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/latex": [
"$$G_4(\\omega) =\\frac{105}{\\sqrt{\\omega^{8} + 10 \\omega^{6} + 135 \\omega^{4} + 1575 \\omega^{2} + 11025}}$$"
],
"text/plain": [
"<IPython.core.display.Math object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/latex": [
"$$G_5(\\omega) =\\frac{945}{\\sqrt{\\omega^{10} + 15 \\omega^{8} + 315 \\omega^{6} + 6300 \\omega^{4} + 99225 \\omega^{2} + 893025}}$$"
],
"text/plain": [
"<IPython.core.display.Math object>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"G = []\n",
"for n in range(N):\n",
" g = abs(H[n].subs(s,sb.I*ω))\n",
" g = g.expand(complex=True)\n",
" display(Math(r\"G_%d(\\omega) =\" % n + sb.latex(g)))\n",
" G.append(g)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 位相と群遅延\n",
"$\\phi_n(\\omega) = \\arg\\left(H_n(j\\omega)\\right)$ \n",
"$\\tau_n(\\omega) = - \\frac{d\\phi_n(\\omega)}{d\\omega}$"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
"$$\\tau_0(\\omega) =0$$"
],
"text/plain": [
"<IPython.core.display.Math object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/latex": [
"$$\\tau_1(\\omega) =\\frac{1}{\\omega^{2} + 1}$$"
],
"text/plain": [
"<IPython.core.display.Math object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/latex": [
"$$\\tau_2(\\omega) =\\frac{3 \\left(\\omega^{2} + 3\\right)}{\\omega^{4} + 3 \\omega^{2} + 9}$$"
],
"text/plain": [
"<IPython.core.display.Math object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/latex": [
"$$\\tau_3(\\omega) =\\frac{3 \\left(2 \\omega^{4} + 15 \\omega^{2} + 75\\right)}{\\omega^{6} + 6 \\omega^{4} + 45 \\omega^{2} + 225}$$"
],
"text/plain": [
"<IPython.core.display.Math object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/latex": [
"$$\\tau_4(\\omega) =\\frac{5 \\left(2 \\omega^{6} + 27 \\omega^{4} + 315 \\omega^{2} + 2205\\right)}{\\omega^{8} + 10 \\omega^{6} + 135 \\omega^{4} + 1575 \\omega^{2} + 11025}$$"
],
"text/plain": [
"<IPython.core.display.Math object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/latex": [
"$$\\tau_5(\\omega) =\\frac{15 \\left(\\omega^{8} + 21 \\omega^{6} + 420 \\omega^{4} + 6615 \\omega^{2} + 59535\\right)}{\\omega^{10} + 15 \\omega^{8} + 315 \\omega^{6} + 6300 \\omega^{4} + 99225 \\omega^{2} + 893025}$$"
],
"text/plain": [
"<IPython.core.display.Math object>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ϕ = []\n",
"τ = []\n",
"\n",
"for n in range(N):\n",
" p = sb.arg(H[n].subs(s,sb.I*ω))\n",
" \n",
" t = -p.diff(ω)\n",
" t = sb.simplify(t)\n",
" display(Math(r\"\\tau_%d(\\omega) =\" % n + sb.latex(t)))\n",
" \n",
" ϕ.append(p)\n",
" τ.append(t)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 群遅延のマクローリン展開"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
"$$\\tau_0(\\omega) =0$$"
],
"text/plain": [
"<IPython.core.display.Math object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/latex": [
"$$\\tau_1(\\omega) =1 - \\omega^{2} + \\omega^{4} - \\omega^{6} + \\omega^{8} - \\omega^{10} + \\omega^{12} + \\mathcal{O}\\left(\\omega^{14}\\right)$$"
],
"text/plain": [
"<IPython.core.display.Math object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/latex": [
"$$\\tau_2(\\omega) =1 - \\frac{\\omega^{4}}{9} + \\frac{\\omega^{6}}{27} - \\frac{\\omega^{10}}{243} + \\frac{\\omega^{12}}{729} + \\mathcal{O}\\left(\\omega^{14}\\right)$$"
],
"text/plain": [
"<IPython.core.display.Math object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/latex": [
"$$\\tau_3(\\omega) =1 - \\frac{\\omega^{6}}{225} + \\frac{\\omega^{8}}{1125} - \\frac{\\omega^{10}}{16875} + \\frac{2 \\omega^{12}}{253125} + \\mathcal{O}\\left(\\omega^{14}\\right)$$"
],
"text/plain": [
"<IPython.core.display.Math object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/latex": [
"$$\\tau_4(\\omega) =1 - \\frac{\\omega^{8}}{11025} + \\frac{\\omega^{10}}{77175} - \\frac{2 \\omega^{12}}{2701125} + \\mathcal{O}\\left(\\omega^{14}\\right)$$"
],
"text/plain": [
"<IPython.core.display.Math object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/latex": [
"$$\\tau_5(\\omega) =1 - \\frac{\\omega^{10}}{893025} + \\frac{\\omega^{12}}{8037225} + \\mathcal{O}\\left(\\omega^{14}\\right)$$"
],
"text/plain": [
"<IPython.core.display.Math object>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"τm = []\n",
"for n in range(N):\n",
" t = sb.series(τ[n],ω,0,14)\n",
" display(Math(r\"\\tau_%d(\\omega) =\" % n + sb.latex(t)))\n",
" τm.append(t)"
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x576 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.rc('text', usetex=True)\n",
"\n",
"ττ = []\n",
"GG = []\n",
"\n",
"for n in range(N):\n",
" ττ.append(sb.lambdify(ω,τ[n]))\n",
" GG.append(sb.lambdify(ω,G[n]))\n",
" \n",
"ωω = np.arange(0,10,0.1)\n",
"\n",
"plt.figure(figsize=(10,8))\n",
"ax1 = plt.subplot(2,1,1)\n",
"ax2 = plt.subplot(2,1,2)\n",
"for n in range(1,N):\n",
" plt.sca(ax1)\n",
" plt.title('Gain')\n",
" plt.plot(ωω,GG[n](ωω),label='$G_%d(\\\\omega)=' % n+sb.latex(G[n])+'$')\n",
" \n",
" plt.sca(ax2)\n",
" plt.plot(ωω,ττ[n](ωω),label='$\\\\tau_%d(\\\\omega)='% n+sb.latex(τ[n])+'$')\n",
"\n",
"plt.sca(ax1)\n",
"plt.title('Gain')\n",
"plt.ylabel(r'$G(\\omega)$')\n",
"\n",
"plt.sca(ax2)\n",
"plt.title('Group Delay')\n",
"plt.ylabel(r'$\\tau(\\omega)$')\n",
" \n",
"axes = plt.gcf().get_axes()\n",
"\n",
"for axis in axes:\n",
" plt.sca(axis)\n",
" axis.set_xscale(\"log\")\n",
" plt.ylim([0,1.1])\n",
" plt.xlabel('$\\\\omega$',fontsize=10)\n",
" plt.legend(fontsize=16,bbox_to_anchor=(1.04,1), loc=\"upper left\")\n",
" plt.grid()\n",
"\n",
"plt.tight_layout()\n",
"# plt.savefig('BesselFilter_FrequencyResponse.png')"
]
}
],
"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": "3.6.5"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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