955 lines
459 KiB
Plaintext
955 lines
459 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 1,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"2-Port Network: 'BFU520_05V0_005mA_NF_SP', 0.4-2.0 GHz, 1001 pts, z0=[ 50.+0.j 50.+0.j]"
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]
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},
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"execution_count": 1,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"import numpy as np\n",
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"\n",
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"import skrf\n",
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"from skrf.media import DistributedCircuit\n",
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"import skrf.frequency as freq\n",
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"import skrf.network as net\n",
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"import skrf.util\n",
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"\n",
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"import matplotlib.pyplot as plt\n",
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"%matplotlib inline\n",
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"plt.rcParams['figure.figsize'] = [10, 10]\n",
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"\n",
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"f = freq.Frequency(0.4, 2, 1001)\n",
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"tem = DistributedCircuit(f, z0=50)\n",
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"\n",
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"bjt = net.Network('BFU520_Spar_NF_400MHz-2GHz/BFU520_05V0_005mA_NF_SP.s2p').interpolate(f)\n",
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"\n",
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"bjt"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"image/png": 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\n",
|
|
"text/plain": [
|
|
"<matplotlib.figure.Figure at 0x7f4940b054a8>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"bjt.plot_s_smith()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 3,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"# let's add an inductor to the emitter\n",
|
|
"# to do this we need a function that lets you combine two port networks in series\n",
|
|
"# so we can model it\n",
|
|
"from scipy.interpolate import interp1d\n",
|
|
"\n",
|
|
"def series(a, b):\n",
|
|
" newz = a.z + b.z\n",
|
|
"\n",
|
|
" ret = net.Network.from_z(newz, frequency=a.frequency)\n",
|
|
" noiseless = not a.noisy and not b.noisy\n",
|
|
" if noiseless:\n",
|
|
" return ret\n",
|
|
" if a.noisy:\n",
|
|
" an = a.n\n",
|
|
" af = a.f_noise\n",
|
|
" else:\n",
|
|
" an = np.zeros(b.n.shape)\n",
|
|
" af = b.f_noise\n",
|
|
" if b.noisy:\n",
|
|
" bn = b.n\n",
|
|
" bf = b.f_noise\n",
|
|
" else:\n",
|
|
" bn = np.zeros(a.n.shape)\n",
|
|
" bf = a.f_noise\n",
|
|
"\n",
|
|
" if bf != af:\n",
|
|
" # TODO interpolate noise values for b into a frequency ranges\n",
|
|
" # bn = ??? \n",
|
|
" raise NotImplementedError\n",
|
|
"\n",
|
|
" a_real = interp1d(a.frequency.f, a.a.real, \n",
|
|
" axis=0, kind=net.Network.noise_interp_kind)\n",
|
|
" a_imag = interp1d(a.frequency.f, a.a.imag, \n",
|
|
" axis=0, kind=net.Network.noise_interp_kind)\n",
|
|
" a_abcd = a_real(af.f) + 1.j * a_imag(af.f)\n",
|
|
"\n",
|
|
" b_real = interp1d(b.frequency.f, b.a.real, \n",
|
|
" axis=0, kind=net.Network.noise_interp_kind)\n",
|
|
" b_imag = interp1d(b.frequency.f, b.a.imag, \n",
|
|
" axis=0, kind=net.Network.noise_interp_kind)\n",
|
|
" b_abcd = b_real(bf.f) + 1.j * b_imag(bf.f)\n",
|
|
"\n",
|
|
" # calculate noise\n",
|
|
" # based on https://onlinelibrary.wiley.com/doi/pdf/10.1002/9781119073093.app3\n",
|
|
" a1 = 1\n",
|
|
" b1 = (b_abcd[:,0,0] - a_abcd[:,0,0])/(a_abcd[:,1,0] + b_abcd[:,1,0])\n",
|
|
" c1 = 0\n",
|
|
" d1 = b_abcd[:,1,0]/(a_abcd[:,1,0] + b_abcd[:,1,0])\n",
|
|
"\n",
|
|
" a2 = 1\n",
|
|
" b2 = (a_abcd[:,0,0] - b_abcd[:,0,0])/(a_abcd[:,1,0] + b_abcd[:,1,0])\n",
|
|
" c2 = 0\n",
|
|
" d2 = a_abcd[:,1,0]/(a_abcd[:,1,0] + b_abcd[:,1,0])\n",
|
|
"\n",
|
|
" ee = (a1*np.conj(a1)*an[:,0,0] + b1*np.conj(b1)*bn[:,1,1] +\n",
|
|
" a2*np.conj(a2)*bn[:,1,1] + b2*np.conj(b2)*bn[:,1,1] +\n",
|
|
" a1*np.conj(b1)*an[:,0,1] + b1*np.conj(a1)*an[:,1,0] +\n",
|
|
" a2*np.conj(b2)*bn[:,0,1] + b2*np.conj(a2)*bn[:,1,0])\n",
|
|
" ii = (c1*np.conj(c1)*an[:,0,0] + d1*np.conj(d1)*an[:,1,1] +\n",
|
|
" c2*np.conj(c2)*bn[:,0,0] + d2*np.conj(d2)*bn[:,1,1] +\n",
|
|
" c1*np.conj(d1)*an[:,0,1] + d1*np.conj(c1)*an[:,1,0] +\n",
|
|
" c2*np.conj(d2)*bn[:,0,1] + d2*np.conj(c2)*bn[:,1,0])\n",
|
|
" ei = (a1*np.conj(c1)*an[:,0,0] + b1*np.conj(d1)*an[:,1,1] + \n",
|
|
" a2*np.conj(c2)*bn[:,0,0] + b2*np.conj(d2)*bn[:,1,1] + \n",
|
|
" a1*np.conj(d1)*an[:,0,1] + b1*np.conj(c1)*an[:,1,0] + \n",
|
|
" a2*np.conj(d2)*bn[:,0,1] + b2*np.conj(c2)*bn[:,1,0])\n",
|
|
" ie = np.conj(ei)\n",
|
|
"\n",
|
|
" ret.noise = np.moveaxis(np.array([[ee, ei], [ie, ii]]), 2, 0)\n",
|
|
" ret.noise_freq = af\n",
|
|
" return ret"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 4,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(58.285348012831371+12.185071598304109j)"
|
|
]
|
|
},
|
|
"execution_count": 4,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
|
"text/plain": [
|
|
"<matplotlib.figure.Figure at 0x7f491cf49438>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"bjt_degen = series(bjt, tem.shunt_inductor(1e-9))\n",
|
|
"bjt_degen.plot_s_smith()\n",
|
|
"\n",
|
|
"idx_900mhz = skrf.util.find_nearest_index(bjt.f, 915.e+6)\n",
|
|
"bjt_degen.z_opt[idx_900mhz]"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 5,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(3.048555602935056, (3.001540263823371+2.6459699316881777j))"
|
|
]
|
|
},
|
|
"execution_count": 5,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"# calculate the stability circles for the source and load impedances\n",
|
|
"\n",
|
|
"idx_900mhz = skrf.util.find_nearest_index(bjt_degen.f, 915.e+6)\n",
|
|
"\n",
|
|
"sqabs = lambda x: np.square(np.absolute(x))\n",
|
|
"\n",
|
|
"delta = bjt_degen.s11.s*bjt_degen.s22.s - bjt_degen.s12.s*bjt_degen.s21.s\n",
|
|
"rl = np.absolute((bjt_degen.s12.s * bjt_degen.s21.s)/(sqabs(bjt_degen.s22.s) - sqabs(delta)))\n",
|
|
"cl = np.conj(bjt_degen.s22.s - delta*np.conj(bjt_degen.s11.s))/(sqabs(bjt_degen.s22.s) - sqabs(delta))\n",
|
|
"\n",
|
|
"rl_900mhz = rl[idx_900mhz][0, 0]\n",
|
|
"cl_900mhz = cl[idx_900mhz][0, 0]\n",
|
|
"\n",
|
|
"rl_900mhz, cl_900mhz"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 6,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
|
"text/plain": [
|
|
"<matplotlib.figure.Figure at 0x7f491cfbbe10>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"def calc_circle(c, r):\n",
|
|
" theta = np.linspace(0, 2*np.pi, 1000)\n",
|
|
" return c + r*np.exp(1.0j*theta)\n",
|
|
"\n",
|
|
"def plot_smith(pts):\n",
|
|
" n = net.Network(s=pts)\n",
|
|
" n.plot_s_smith()\n",
|
|
" \n",
|
|
"cl_points = calc_circle(cl_900mhz, rl_900mhz)\n",
|
|
"plot_smith(cl_points)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 7,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(3.267143687859595, (1.6731769925739743-1.6577383735222198j))"
|
|
]
|
|
},
|
|
"execution_count": 7,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"rs = np.absolute((bjt_degen.s12.s * bjt_degen.s21.s)/(sqabs(bjt_degen.s11.s) - sqabs(delta)))\n",
|
|
"cs = np.conj(bjt_degen.s11.s - delta*np.conj(bjt_degen.s22.s))/(sqabs(bjt_degen.s11.s) - sqabs(delta))\n",
|
|
"\n",
|
|
"rs_900mhz = rs[idx_900mhz][0, 0]\n",
|
|
"cs_900mhz = cs[idx_900mhz][0, 0]\n",
|
|
"\n",
|
|
"rs_900mhz, cs_900mhz"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 8,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
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"text/plain": [
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"<matplotlib.figure.Figure at 0x7f491cf28c18>"
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]
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},
|
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"metadata": {},
|
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"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"cs_points = calc_circle(cs_900mhz, rs_900mhz)\n",
|
|
"plot_smith(cs_points)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 9,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
|
"text/plain": [
|
|
"<matplotlib.figure.Figure at 0x7f491cefee48>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"# let's plot all of them\n",
|
|
"# output stability first\n",
|
|
"\n",
|
|
"for i, f in enumerate(bjt.f):\n",
|
|
" # decimate it a little\n",
|
|
" if i % 100 != 0:\n",
|
|
" continue\n",
|
|
" n = net.Network(name=str(f/1.e+9), s=calc_circle(cl[i][0, 0], rl[i][0, 0]))\n",
|
|
" n.plot_s_smith()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 10,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
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"text/plain": [
|
|
"<matplotlib.figure.Figure at 0x7f491cf282b0>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"# input stability\n",
|
|
"for i, f in enumerate(bjt.f):\n",
|
|
" if i % 100 != 0:\n",
|
|
" continue\n",
|
|
" n = net.Network(name=str(f/1.e+9), s=calc_circle(cs[i][0, 0], rs[i][0, 0]))\n",
|
|
" n.plot_s_smith()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 11,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"the optimum source reflection coefficient is (0.0880613782526+0.102618106726j)\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
|
"text/plain": [
|
|
"<matplotlib.figure.Figure at 0x7f491ce727b8>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"# let's draw some constant noise circles\n",
|
|
"# first we grab the noise parameters for our target frequency from the network model\n",
|
|
"idx_915mhz = skrf.util.find_nearest_index(bjt_degen.f, 915.e+6)\n",
|
|
"\n",
|
|
"# we need the normalized equivalent noise and optimum source coefficient to calculate the constant noise circles\n",
|
|
"rn = bjt_degen.rn[idx_915mhz]/50\n",
|
|
"gamma_opt = bjt_degen.g_opt[idx_915mhz]\n",
|
|
"fmin = bjt_degen.nfmin[idx_915mhz]\n",
|
|
"\n",
|
|
"for nf_added in [0, 0.05, 0.1, 0.2, 0.3]:\n",
|
|
" nf = 10**(nf_added/10) * fmin\n",
|
|
" \n",
|
|
" N = (nf - fmin)*abs(1+gamma_opt)**2/(4*rn)\n",
|
|
" c_n = gamma_opt/(1+N)\n",
|
|
" r_n = 1/(1-N)*np.sqrt(N**2 + N*(1-abs(gamma_opt)**2))\n",
|
|
" \n",
|
|
" n = net.Network(name=str(nf_added), s=calc_circle(c_n, r_n))\n",
|
|
" n.plot_s_smith()\n",
|
|
"\n",
|
|
"print(\"the optimum source reflection coefficient is \", gamma_opt)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 12,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(0.088061378252587419+0.10261810672607581j)"
|
|
]
|
|
},
|
|
"execution_count": 12,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"gamma_s = bjt_degen.g_opt[idx_900mhz]\n",
|
|
"gamma_s"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 13,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"((0.53933106007665532+0.26530128140907783j), True)"
|
|
]
|
|
},
|
|
"execution_count": 13,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"# so I need to calculate the load reflection coefficient to get a conjugate match when the input sees 50 ohms\n",
|
|
"gamma_l = np.conj(bjt_degen.s22.s - bjt_degen.s21.s*gamma_s*bjt_degen.s12.s/(1-bjt_degen.s11.s*gamma_s))\n",
|
|
"is_gamma_l_stable = np.absolute(gamma_l[idx_900mhz, 0, 0] - cl_900mhz) > rl_900mhz\n",
|
|
"\n",
|
|
"gamma_l = gamma_l[idx_900mhz, 0, 0]\n",
|
|
"gamma_l, is_gamma_l_stable"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 14,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"((113.01057791499088+93.878513301282439j),\n",
|
|
" -225.08350870216864j,\n",
|
|
" 83.96308091204551j)"
|
|
]
|
|
},
|
|
"execution_count": 14,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"def calc_matching_network_vals(z1, z2):\n",
|
|
" flipped = ((abs(np.imag(z2)) < 1e-6 and np.real(z1) < np.real(z2)) or\n",
|
|
" (abs(np.imag(z2)) > 1e-6 and np.real(z1) < np.real(1/(1/z2-1/(1.j*np.imag(z2))))))\n",
|
|
" if flipped:\n",
|
|
" z2, z1 = z1, z2\n",
|
|
" \n",
|
|
" # cancel out the imaginary parts of both input and output impedances \n",
|
|
" z1_par = 1e+10\n",
|
|
" if abs(np.imag(z1)) > 1e-6:\n",
|
|
" # parallel something to cancel out the imaginary part of\n",
|
|
" # z1's impedance\n",
|
|
" z1_par = 1/(-1j*np.imag(1/z1))\n",
|
|
" z1 = 1/(1./z1 + 1/z1_par)\n",
|
|
" z2_ser = 0.0\n",
|
|
" if abs(np.imag(z2)) > 1e-6:\n",
|
|
" z2_ser = -1j*np.imag(z2)\n",
|
|
" z2 = z2 + z2_ser\n",
|
|
" \n",
|
|
" Q = np.sqrt((np.real(z1) - np.real(z2))/np.real(z2))\n",
|
|
" x1 = -1.j * np.real(z1)/Q\n",
|
|
" x2 = 1.j * np.real(z2)*Q\n",
|
|
" \n",
|
|
" x1_tot = 1/(1/z1_par + 1/x1)\n",
|
|
" x2_tot = z2_ser + x2\n",
|
|
" if flipped:\n",
|
|
" return x2_tot, x1_tot\n",
|
|
" else:\n",
|
|
" return x1_tot, x2_tot\n",
|
|
"\n",
|
|
"z_l = net.s2z(np.array([[[gamma_l]]]))[0,0,0]\n",
|
|
"# note that we're matching against the conjugate;\n",
|
|
"# this is because we want to see z_l from the BJT side\n",
|
|
"# if we plugged in z the matching network would make\n",
|
|
"# the 50 ohms look like np.conj(z) to match against it, so\n",
|
|
"# we use np.conj(z_l) so that it'll look like z_l from the BJT's side\n",
|
|
"z_par, z_ser = calc_matching_network_vals(np.conj(z_l), 50)\n",
|
|
"z_l, z_par, z_ser"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 15,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(7.727790877202402e-13, 1.4604523895493778e-08)"
|
|
]
|
|
},
|
|
"execution_count": 15,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"# let's calculate what the component values are\n",
|
|
"c_par = np.real(1/(2j*np.pi*915e+6*z_par))\n",
|
|
"l_ser = np.real(z_ser/(2j*np.pi*915e+6))\n",
|
|
"\n",
|
|
"c_par, l_ser"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 16,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
|
"text/plain": [
|
|
"<matplotlib.figure.Figure at 0x7f491ce16eb8>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"# the capacitance is kind of low but the inductance seems reasonable\n",
|
|
"# let's test it out\n",
|
|
"\n",
|
|
"output_network = tem.shunt_capacitor(c_par) ** tem.inductor(l_ser)\n",
|
|
"\n",
|
|
"amplifier = tem.inductor(0.9e-9) ** bjt_degen ** output_network\n",
|
|
"\n",
|
|
"amplifier.plot_s_smith()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 17,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"0.7680949467294812"
|
|
]
|
|
},
|
|
"execution_count": 17,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
|
"text/plain": [
|
|
"<matplotlib.figure.Figure at 0x7f491cc7dd68>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"amplifier.s11.plot_s_db()\n",
|
|
"amplifier.s22.plot_s_db()\n",
|
|
"10*np.log10(amplifier.nf(50.)[idx_900mhz])"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"amplifier.s21.plot_s_db()\n",
|
|
"20*np.log10(np.abs(amplifier.s21.s[idx_900mhz,0,0]))"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 38,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"1e-10 1.49493880303 (11.7493768308+28.7628652849j) (-0.330722950484+0.619850870093j) (0.0992765929965+0.588224830645j)\n",
|
|
"2e-10 1.36993262557 (16.4849320445+28.8369107953j) (-0.265942338047+0.549084809921j) (0.106645799953+0.494338082016j)\n",
|
|
"3e-10 1.31158328261 (20.5372365221+28.9407622533j) (-0.213424973782+0.497856811663j) (0.113213957865+0.434300899415j)\n",
|
|
"4e-10 1.27715866691 (24.2517614958+29.0745264872j) (-0.167727993988+0.457243542875j) (0.118798063319+0.391141893907j)\n",
|
|
"5e-10 1.25455232795 (27.7646674452+29.2383011619j) (-0.126661387814+0.423607096212j) (0.123533544153+0.358113582887j)\n",
|
|
"6e-10 1.23881883594 (31.1443109939+29.4321746645j) (-0.0890900524197+0.395028169634j) (0.127572097207+0.331803787522j)\n",
|
|
"7e-10 1.22750491079 (34.4298531137+29.656225997j) (-0.0543330857894+0.370337494562j) (0.131040897828+0.310243034486j)\n",
|
|
"8e-10 1.21923430805 (37.6457005122+29.9105246759j) (-0.021939457623+0.348753506286j) (0.134040927599+0.292193173834j)\n",
|
|
"9e-10 1.21316610812 (40.8079788043+30.195130638j) (0.00841214642297+0.329719097067j) (0.136651673704+0.276827376785j)\n",
|
|
"1e-09 1.20875307515 (43.927804695+30.5100941547j) (0.0369636873677+0.312818218931j) (0.138935990476+0.263567950696j)\n",
|
|
"1.1e-09 1.20562142147 (47.0130896524+30.8554557525j) (0.0639053833195+0.297729163442j) (0.140944021371+0.251996768165j)\n",
|
|
"1.2e-09 1.20350583869 (50.0696016237+31.2312461418j) (0.0893918921655+0.284196454199j) (0.142716172479+0.241802468644j)\n",
|
|
"1.3e-09 1.20221204798 (53.1016231945+31.6374861529j) (0.113552324243+0.272012944104j) (0.144285331553+0.232747697228j)\n",
|
|
"1.4e-09 1.20159405843 (56.1123770534+32.0741866797j) (0.13649672645+0.261007866975j) (0.145678524436+0.224647913624j)\n",
|
|
"1.5e-09 1.20153975078 (59.1043107539+32.5413486319j) (0.158320450549+0.251038547109j) (0.146918159745+0.217357205001j)\n",
|
|
"1.6e-09 1.20196140366 (62.0792929755+33.0389628941j) (0.179107200831+0.241984455931j) (0.148022972727+0.210758508128j)\n",
|
|
"1.7e-09 1.20278927373 (65.0387522288+33.5670102944j) (0.198931228181+0.233742831778j) (0.149008748181+0.20475670095j)\n",
|
|
"1.8e-09 1.20396712902 (67.983777045+34.1254615797j) (0.217858955053+0.226225374774j) (0.149888879761+0.199273615361j)\n",
|
|
"1.9e-09 1.20544906883 (70.915189744+34.7142773999j) (0.235950210217+0.219355702175j) (0.150674806927+0.194244368424j)\n",
|
|
"2e-09 1.20719721342 (73.8336016775+35.333408301j) (0.253259188968+0.213067355014j) (0.151376359528+0.189614618183j)\n",
|
|
"2.1e-09 1.2091799953 (76.7394552341+35.982794725j) (0.269835215488+0.207302213095j) (0.152002031926+0.185338480394j)\n",
|
|
"2.2e-09 1.21137087518 (79.6330562184+36.6623670194j) (0.285723359461+0.202009218272j) (0.1525592029+0.181376925817j)\n",
|
|
"2.3e-09 1.21374736308 (82.514599123+37.372045455j) (0.300964943034+0.197143334368j) (0.153054313431+0.177696532336j)\n",
|
|
"2.4e-09 1.21629026245 (85.3841870809+38.1117402509j) (0.315597963686+0.19266469148j) (0.15349301147+0.174268502699j)\n",
|
|
"2.5e-09 1.21898307957 (88.2418477827+38.8813516094j) (0.32965745145+0.188537875809j) (0.153880270656+0.17106788363j)\n",
|
|
"2.6e-09 1.22181155715 (91.087546301+39.6807697581j) (0.343175773985+0.184731335737j) (0.154220488278+0.168072939352j)\n",
|
|
"2.7e-09 1.22476330244 (93.9211955153+40.5098750009j) (0.356182899652+0.181216881677j) (0.154517566606+0.165264644754j)\n",
|
|
"2.8e-09 1.22782748798 (96.7426646605+41.3685377768j) (0.368706626237+0.177969262322j) (0.154774980804+0.162626272188j)\n",
|
|
"2.9e-09 1.23099460883 (99.5517863924+42.2566187275j) (0.380772781254+0.174965803615j) (0.154995835929+0.160143052169j)\n",
|
|
"3e-09 1.23425628416 (102.348362671+43.1739687725j) (0.392405398466+0.172186099627j) (0.155182915028+0.157801892898j)\n",
|
|
"3.1e-09 1.2376050938 (105.132169698+44.1204291926j) (0.403626874289+0.169611746658j) (0.155338719903+0.155591146982j)\n",
|
|
"3.2e-09 1.24103444289 (107.902962084+45.095831721j) (0.414458107037+0.167226113571j) (0.155465505822+0.153500416264j)\n",
|
|
"3.3e-09 1.24453844898 (110.660476392+46.0999986428j) (0.424918621419+0.165014142666j) (0.155565311211+0.151520387667j)\n",
|
|
"3.4e-09 1.24811184731 (113.404434172+47.1327429017j) (0.435026680243+0.162962176402j) (0.155639983133+0.149642694408j)\n",
|
|
"3.5e-09 1.25174991105 (116.134544566+48.1938682141j) (0.444799384999+0.161057806139j) (0.155691199266+0.147859798097j)\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(1.0204081632653062e-10,\n",
|
|
" (58.067887220276525+17.108296550276762j),\n",
|
|
" (-0.1404128330067739+0.99009304427766398j),\n",
|
|
" (0.90582823692607706+0.42364514063942088j),\n",
|
|
" 0.71654949035834925)"
|
|
]
|
|
},
|
|
"execution_count": 38,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
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"source": [
|
|
"# that's pretty good but let's try to optimize the inductor value so we can get conjugate matching\n",
|
|
"# at the same time as minimum noise figure\n",
|
|
"\n",
|
|
"nf_min = 10e+9\n",
|
|
"lval = 0.0\n",
|
|
"gamma_s_opt = None\n",
|
|
"gamma_l_opt = None\n",
|
|
"best_zs_opt = None\n",
|
|
"for l in np.linspace(0.1e-9, 5e-9, 50):\n",
|
|
" bjt_degen = series(bjt, tem.shunt_inductor(l)) ** tem.shunt(tem.resistor(130.) ** tem.short())\n",
|
|
" #bjt_degen.plot_s_smith()\n",
|
|
"\n",
|
|
" idx_900mhz = skrf.util.find_nearest_index(bjt.f, 915.e+6)\n",
|
|
" zs_opt = bjt_degen.z_opt[idx_900mhz]\n",
|
|
" \n",
|
|
" bjt_s11 = bjt_degen.s11.s[idx_900mhz,0,0]\n",
|
|
" bjt_s12 = bjt_degen.s12.s[idx_900mhz,0,0]\n",
|
|
" bjt_s21 = bjt_degen.s21.s[idx_900mhz,0,0]\n",
|
|
" bjt_s22 = bjt_degen.s22.s[idx_900mhz,0,0]\n",
|
|
"\n",
|
|
" delta2 = bjt_s11*bjt_s22 - bjt_s12*bjt_s21\n",
|
|
"\n",
|
|
" B1 = 1 + sqabs(bjt_s11) - sqabs(bjt_s22) - sqabs(delta2)\n",
|
|
" B2 = 1 + sqabs(bjt_s22) - sqabs(bjt_s11) - sqabs(delta2)\n",
|
|
" C1 = bjt_s11 - delta2*np.conj(bjt_s22)\n",
|
|
" C2 = bjt_s22 - delta2*np.conj(bjt_s11)\n",
|
|
"\n",
|
|
" gamma_s = (B1 - np.sqrt(np.square(B1) - 4*sqabs(C1) + 0j))/(2*C1)\n",
|
|
" gamma_l = (B2 - np.sqrt(np.square(B2) - 4*sqabs(C2) + 0j))/(2*C2)\n",
|
|
"\n",
|
|
" zs_loop = net.s2z(np.array([[[gamma_s]]]))[0,0,0]\n",
|
|
" nf_loop = bjt_degen.nf(zs_loop)[idx_900mhz]\n",
|
|
" print(l, nf_loop, zs_loop, gamma_s, gamma_l)\n",
|
|
" if nf_loop < nf_min:\n",
|
|
" nf_min = nf_loop\n",
|
|
" lval = l\n",
|
|
" gamma_s_opt = gamma_s\n",
|
|
" gamma_l_opt = gamma_l\n",
|
|
" best_zs_opt = zs_opt\n",
|
|
" \n",
|
|
"(lval, best_zs_opt, gamma_s_opt, gamma_l_opt, nf_min)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 25,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"array([ 1.19937002, 1.19751604, 1.19566207, ..., 1.24864715,\n",
|
|
" 1.24835019, 1.24805323])"
|
|
]
|
|
},
|
|
"execution_count": 25,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"bjt.nf(50.)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 28,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"array([ 1.19753659, 1.19568388, 1.19383126, ..., 1.2216579 ,\n",
|
|
" 1.22134603, 1.22103419])"
|
|
]
|
|
},
|
|
"execution_count": 28,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"series(bjt, tem.shunt_inductor(1e-9)).nf(50.)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {
|
|
"scrolled": true
|
|
},
|
|
"outputs": [],
|
|
"source": [
|
|
"# that's probably good enough for the first stage\n",
|
|
"# for the second stage let's stabilize the transistor by adding some parallel resistance\n",
|
|
"# and then simultaneous conjugate matching so that both the input and output are matched to 50 ohms\n",
|
|
"\n",
|
|
"# let's calculate the stability factor to see where it's unstable\n",
|
|
"sqabs = lambda x: np.square(np.absolute(x))\n",
|
|
"delta = bjt.s11.s*bjt.s22.s - bjt.s12.s*bjt.s21.s\n",
|
|
"K = ((1 - sqabs(bjt.s11.s) - sqabs(bjt.s22.s) + sqabs(delta))/(2*np.absolute(bjt.s12.s*bjt.s21.s)))[:,0,0]\n",
|
|
"\n",
|
|
"plt.plot(bjt.f, K)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"#so it's basically always unstable\n",
|
|
"#let's add a 250 ohm shunt to the output and see how much that improves it\n",
|
|
"\n",
|
|
"bjt_comp = bjt ** tem.shunt(tem.resistor(75.) ** tem.short())\n",
|
|
"bjt_comp.plot_s_smith()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"# let's calculate K again\n",
|
|
"delta2 = bjt_comp.s11.s*bjt_comp.s22.s - bjt_comp.s12.s*bjt_comp.s21.s\n",
|
|
"K2 = ((1 - sqabs(bjt_comp.s11.s) - sqabs(bjt_comp.s22.s) + sqabs(delta2))/(2*np.absolute(bjt_comp.s12.s*bjt_comp.s21.s)))[:,0,0]\n",
|
|
"\n",
|
|
"plt.plot(bjt_comp.f, K2)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"# that's a pretty nice improvement! let's check the delta to be sure, and\n",
|
|
"# find the new source stability circles to see if we need to add some series resistance there\n",
|
|
"\n",
|
|
"# K > 1 and |delta| < 1 for stability\n",
|
|
"plt.plot(bjt_comp.f, np.absolute(delta2[:,0,0]))"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"rs2 = np.absolute((bjt_comp.s12.s * bjt_comp.s21.s)/(sqabs(bjt_comp.s11.s) - sqabs(delta2)))\n",
|
|
"cs2 = np.conj(bjt_comp.s11.s - delta2*np.conj(bjt_comp.s22.s))/(sqabs(bjt_comp.s11.s) - sqabs(delta2))\n",
|
|
"\n",
|
|
"# input stability\n",
|
|
"for i, f in enumerate(bjt_comp.f):\n",
|
|
" if i % 100 != 0:\n",
|
|
" continue\n",
|
|
" n = net.Network(name=str(f/1.e+9), s=calc_circle(cs2[i][0, 0], rs2[i][0, 0]))\n",
|
|
" n.plot_s_smith()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"# that doesn't look too bad, so let's move forward and try to conjugate match\n",
|
|
"delta2 = bjt_comp.s11.s*bjt_comp.s22.s - bjt_comp.s12.s*bjt_comp.s21.s\n",
|
|
"\n",
|
|
"B1 = 1 + sqabs(bjt_comp.s11.s) - sqabs(bjt_comp.s22.s) - sqabs(delta2)\n",
|
|
"B2 = 1 + sqabs(bjt_comp.s22.s) - sqabs(bjt_comp.s11.s) - sqabs(delta2)\n",
|
|
"C1 = bjt_comp.s11.s - delta2*np.conj(bjt_comp.s22.s)\n",
|
|
"C2 = bjt_comp.s22.s - delta2*np.conj(bjt_comp.s11.s)\n",
|
|
"\n",
|
|
"gamma_s_all = (B1 - np.sqrt(np.square(B1) - 4*sqabs(C1) + 0j))/(2*C1)\n",
|
|
"gamma_l_all = (B2 - np.sqrt(np.square(B2) - 4*sqabs(C2) + 0j))/(2*C2)\n",
|
|
"\n",
|
|
"gamma_s = gamma_s_all[idx_900mhz, 0, 0]\n",
|
|
"gamma_l = gamma_l_all[idx_900mhz, 0, 0]\n",
|
|
"\n",
|
|
"z_s = net.s2z(np.array([[[gamma_s]]]))[0,0,0]\n",
|
|
"z_l = net.s2z(np.array([[[gamma_l]]]))[0,0,0]\n",
|
|
"\n",
|
|
"# this section broke when I switched to a lower bias current so just ignore this\n",
|
|
"z_s, z_l"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"x_s_1, x_s_2 = calc_matching_network_vals(np.conj(z_s), 50)\n",
|
|
"x_l_1, x_l_2 = calc_matching_network_vals(np.conj(z_l), 50)\n",
|
|
"\n",
|
|
"x_s_1, x_s_2, x_l_1, x_l_2"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"c_s_shunt = np.real(1/(2j*np.pi*915e+6*x_s_1))\n",
|
|
"c_s_ser = np.real(1/(2j*np.pi*915e+6*x_s_2))\n",
|
|
"l_s_ser = np.real(x_s_2/(2j*np.pi*915e+6))\n",
|
|
"c_l_shunt = np.real(1/(2j*np.pi*915e+6*x_l_1))\n",
|
|
"l_l_ser = np.real(x_l_2/(2j*np.pi*915e+6))\n",
|
|
"\n",
|
|
"c_s_shunt2 = np.real(1/(2j*np.pi*915e+6*x_s_2))\n",
|
|
"l_s_ser2 = np.real(x_s_1/(2j*np.pi*915e+6))\n",
|
|
"\n",
|
|
"c_l_shunt2 = np.real(1/(2j*np.pi*915e+6*x_l_2))\n",
|
|
"l_l_ser2 = np.real(x_l_1/(2j*np.pi*915e+6))\n",
|
|
"\n",
|
|
"#c_s_shunt, c_s_ser, c_l_shunt, l_l_ser\n",
|
|
"c_s_shunt2, l_s_ser2, c_l_shunt2, l_l_ser2"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"#input_network2 = tem.capacitor(c_s_ser) ** tem.shunt_capacitor(c_s_shunt)\n",
|
|
"#input_network2 = tem.inductor(l_s_ser) ** tem.shunt_capacitor(c_s_shunt)\n",
|
|
"input_network2 = tem.shunt_capacitor(c_s_shunt2) ** tem.inductor(l_s_ser2)\n",
|
|
"\n",
|
|
"#output_network2 = tem.shunt_capacitor(c_l_shunt) ** tem.inductor(l_l_ser)\n",
|
|
"output_network2 = tem.inductor(l_l_ser2) ** tem.shunt_capacitor(c_l_shunt2)\n",
|
|
"\n",
|
|
"amplifier2 = input_network2 ** bjt_comp ** output_network2\n",
|
|
"#amplifier2 = input_network2 ** bjt #** output_network2\n",
|
|
"\n",
|
|
"amplifier2.plot_s_smith()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"amplifier2.s21.plot_s_db()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"amplifier2.s11.plot_s_db()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"amplifier2.s22.plot_s_db()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"10*np.log10(amplifier2.nf(50.)[idx_900mhz])"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {
|
|
"scrolled": true
|
|
},
|
|
"outputs": [],
|
|
"source": [
|
|
"# check stability again\n",
|
|
"delta2 = amplifier2.s11.s*amplifier2.s22.s - amplifier2.s12.s*amplifier2.s21.s\n",
|
|
"K2 = ((1 - sqabs(amplifier2.s11.s) - sqabs(amplifier2.s22.s) + sqabs(delta2))/(2*np.absolute(amplifier2.s12.s*amplifier2.s21.s)))[:,0,0]\n",
|
|
"\n",
|
|
"plt.plot(amplifier2.f, K2)"
|
|
]
|
|
}
|
|
],
|
|
"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": "3.6.8"
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 2
|
|
}
|