FIR filter weitergearbeitet

3 files changed, 57 insertions, 202 deletions

diff --git a/notebooks/FIRDelay.ipynb b/notebooks/FIRDelay.ipynb
index 099fc25..4576f88 100644
--- a/notebooks/FIRDelay.ipynb
+++ b/notebooks/FIRDelay.ipynb
@@ -3,6 +3,7 @@
   {
    "cell_type": "code",
    "execution_count": 1,
+   "id": "acccd8cc",
    "metadata": {},
    "outputs": [],
    "source": [
@@ -13,130 +14,53 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 2,
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "array([-4, -3, -2, -1,  0,  1,  2,  3])"
-      ]
-     },
-     "execution_count": 2,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "tau = 1/2\n",
-    "freq = np.arange(-4,4)\n",
-    "freq"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 3,
+   "execution_count": null,
+   "id": "bee9dae9",
    "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "array([6.12323400e-17+1.j        , 3.82683432e-01+0.92387953j,\n",
-       "       7.07106781e-01+0.70710678j, 9.23879533e-01+0.38268343j,\n",
-       "       1.00000000e+00+0.j        , 9.23879533e-01-0.38268343j,\n",
-       "       7.07106781e-01-0.70710678j, 3.82683432e-01-0.92387953j])"
-      ]
-     },
-     "execution_count": 3,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "f_tabs = np.exp((-2j*np.pi*freq*tau)/8)\n",
-    "f_tabs"
-   ]
+   "outputs": [],
+   "source": []
   },
   {
-   "cell_type": "code",
-   "execution_count": 4,
+   "cell_type": "markdown",
+   "id": "405fcd96",
    "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "image/png": 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7OtQL5Z3v9jB69q8kXUu1O1ah0EKg8iQ+6RqDp21m8prDDGoZzvxRrXNeIzggEHpPgR7j4Ng6mHI/xOh9HeXeSpf0Z+qQ5rzWrT5Ld5+h58QN7Dtzye5YBU4LgcrVpiPn6D5hPTtiLvJB/8b8o3ejvI0LEIHI4fDUT+DjA9O7wuYpVtdTpdyUiDCqfW2+/FNLkq6n0evjDSzYFmN3rAKlhUBlKyPDMGn1YQZN3URwMT++fb4tfZpVy/8LVWkKz6yFOg/Akr/A/BFwPcn1gZVyoftqlef7MW1pElaGV+bt4PUFv3EtNd3uWAVCC4HKUuKVVEbO2sp7S/fRrVFlFr3QlnqVnFgsvkRZGDAHOr8Ne76BqI4Qv9dVcZUqEKHBxfniqZY826E2c7ac4LFJGzlx7ordsVxOC4H6g12nEukxcR1rDsTz9iMNmTiwKUGuWP3Jx8ea0nrIIriWCFM7wY7/OP+6ShUgP18f/tq1PtOGRHLy/BV6fLSOZXvi7I7lUloI1O+MMczefII+kzaSnm74zzOtGNampuvnYqnZDkats5qMFo6E716C1GuufQ+lXKxzw4p8P6Yd4eVL8vTMaMYu2UdaetHoGq2FQAFwJSWNV+ft4I2Fv9GyZjkWj2lHs/ACXLs4uJJ1ZdDmJdj6GUx/CC4cK7j3U8oFwsqVZP6o1gxuGW71oJu2mfhLnv8lRqeYUBxOSOa5L7ZxID6Jlx6oy+hOdQp3zpV9P8DCUSBYXU7rdSu891bqDi3YFsObC3cRWMyPjwY2pVVt95+4TqeYUFlavPM0j360noTk68wc0YIXO9sw8Vb9h+GZNVC2BswZAMvfhvS0ws2gVD71aVaNb55vQ6kSfgyetolJqw+TkeF5X6xBC4HXSknL4O1Fuxk9+1fqVQpm8QttaRcRYl+gcjVhxE/QfBis/xBm9YKkonVDThU99SoFs2h0W7o1qsx7S/cxclY0iVc8bzSyFgIvdPriVR6P+pnPNx5jRJuazB3ZiiplnFuY3iX8i8Mj46HXZGsU8pR2cGyD3amUylFQMT8mDmzKO4/exZoDCfSYuI5dpxLtjpUvWgi8zNoDCfT4aD0H45L5ZHAz3nqkofstH9lkoDVXUbFgmPEIbBivo5GVWxMRhrauwX+eaUV6uqHPpI3M3nzCYyauc7NPAFVQ0jMM45YfYOhnWwgJKsai0W14uFFlu2Nlr+Jd1iymDXrAsrdg7mC4etHuVErlqFl4WRaPaUfLmuV4Y+FvvDpvB1dS3P9+l0sKgYh0FZH9InJIRF7L4vkOIpIoItsdP2/l9VzlvPOXUxj22RbGLT9I76ZV+eb5NtQKCbI7Vu6Kl4J+M6DrWDj4I0S1h9gddqdSKkflAgP4fHgLXu5cl4XbT9H7440cTki2O1aOnC4EIuILfAx0AxoCA0WkYRaHrjPGNHH8/E8+z1V3aNuJC3SfsI7NR8/zzz6NeL9fY89aR1gE7nsWhi+B9FSY1gW2ztCmIuXWfH2EFztHMHNECxKSr/PoR+tZvPO03bGy5YorghbAIWPMEWNMCjAX6FkI56ocGGP4bMNR+k/+GT9fYcGzrRnYItz1o4QLS1gLa+K66q3huzHwzXOQUvTmfFFFS7uIEBY75ukaPftX3l60m5Q09xuN7IpCUBU4mWk7xrHvdq1EZIeILBGRu/J5rsqHpGupjJ79K+98t4cO9UJZPLodd1ctbXcs5wVWgCe+hvavwY45MK0znD1kdyqlclSlTAnmjmzFiDY1+XzjMR6P+pnTF6/aHesWrigEWX3FvP26fRtQ3RjTGPgI+CYf51oHiowUkWgRiU5ISLjTrEXevjOX6DlxA0t3n+G1bvWZOqQ5pUv62x3LdXx8oePr8MR8SIqFqA6w+xu7UymVowA/H956pCGfDG7Gwbhkuk9Yx5oD7vM55opCEAOEZdquBtzSGGaMuWSMSXY8/gHwF5EKeTk302tEGWMijTGRISE2DnxyYwu2xdDr4w0kXU/jyz+1ZFT72p7bFJSbOp2tietC68NXQ2Hp65CWYncqpXL0cKPKLBrdhoqlijPssy18uOwA6W4wGtkVheAXIEJEaopIADAAWJT5ABGpJI5PJBFp4Xjfc3k5V+XuWmo6ry/4jVfm7aBJWBm+H9OW+2q5/7wnTitdDYb9AC2fhU2fwOfdIfGU3amUylGtkCAWPteG3k2rMn7FQYZ9toVzyddtzeR0ITDGpAGjgR+BvcA8Y8xuERklIqMch/UFdonIDmACMMBYsjzX2Uze5MS5Kzw2aSNztpzg2Q61+eKploQGF7c7VuHxC4BuY6HvZxC/xxqNfHil3amUylGJAF/e79eYsX0asfnoeXp8tJ6txy/YlkdnH/Vgy/bE8eq87QB80L8JnRtWtDeQ3c4ehP88CQn7oMPrcP+frcVwlHJju04l8tyX2zh98SpvPNyA4W1qFFiTrs4+WoSkpWcwdsk+np4ZTXj5knw/pp0WAYAKEdbUFPc8Dqv/AV/2hcvn7E6lVI7urlqa715oS8f6ofzP4j2Mnv0rSdcKd+I6LQQeJj7pGoOnbWbymsMMbhnO/FGtCStX0u5Y7iMgEHpPhh7j4Ng6mHK/NYGdUm6sdAl/op5szuvd6rN09xl6TtzAvjOXCu39tRB4kE1HztF9wnp2xiTyQf/GvNu7EcX9PWiUcGERgcjh8NRPVnfT6V1h8xQdjazcmojwTPvazP5TS5Kup9Hr4w0s2BZTKO+thcADZGQYJq0+zKCpmwgu7sc3z7ehT7Nqdsdyf1WaWgve1OkMS/4C80fA9SS7UymVo5a1yvP9mLY0CSvDK/N28PqC37iWml6g76mFwM0lXkll5KytvLd0H90aVWbRaGu4usqjEmVhwGzo/Dbs+QaiOkL8XrtTKZWj0ODifPFUS57tUJs5W07w2KSNnDhXcFOqaCFwY7tOJdJj4jrWHIjn7UcaMnFgU4KK+dkdy/P4+EDbl2HIIriWCFM7wY7/2J1KqRz5+frw1671mTYkkpPnr9Djo3Us21Mwq/ZpIXBTS3fF0mfSRtLTDf95phXD2tQsuqOEC0vNdtZo5CpNYeFIa50DvW+g3FznhhX5fkw7wsuX5OmZ0SzdFevy99Cvl27oi03HeevbXTQOK8O0IZGUDypmd6SiI7iSdWWw5C/WymfJ8fDoR+BbhOZjUkVOWLmSzB/VmmnrjtChXqjLX18LgRsxxjB+xUHGLT9Ip/qhfDyomWetHeApfP2g+/tWUVj1Llw+C/1nWF1PlXJTxf19Gd0pokBeW5uG3ER6huHNb3YxbvlB+javxpQnm2sRKEgi0P4v8Mh4OLwCZjyqg8+U19JC4Aaupabz/JfbmL35BM91qM2/+t6Dv6/+rykUzYdB/1kQtwumPwQXT9idSKlCp582Nku8msqQ6VtYuvsMb/VoyF+61tebwoWtQQ94ciFcjodPH4Q4nfdQeRctBDaKu3SNx6f8zK8nLjBhYFNGtK1pdyTvVb01DF9qPZ7eDY5tsDePUoVIC4FNDick0+eTjZw8f4XPhrXg0cZV7I6kKja0pqUICoVZvWHvd3YnUqpQaCGwwa8nLtB30kaup6Uzd2Qr2kZUsDuSuqFMOIz4ESo1gnlDIHq63YmUKnBaCArZqv3xDJq6meDi/swf1ZpG1YrAovJFTWB5GLrImqNo8cuw+j0deKaKNC0EhejrrTE8PSOaWiGBfP1sa2pU0H7rbisg0JqjqPEga22D71+BjIKd+Espu7ikEIhIVxHZLyKHROS1LJ4fLCI7HT8bRaRxpueOichvIrJdRIrsxPFRaw/z6lc7aFmrHHNH3kdIsI4Wdnu+/tDrE2ueoujp8NVQSL1mdyqlXM7pkcUi4gt8DHQBYoBfRGSRMWZPpsOOAu2NMRdEpBsQBbTM9HxHY8xZZ7O4o4wMwz9+2Mu09Ufpfk9lPujfmGJ+OlDMY4hYM5cGhsKPr8MXj8GAL6FEGbuTKeUyrrgiaAEcMsYcMcakAHOBnpkPMMZsNMbcWJl5E+AVk+mnpGXwyrztTFt/lGGta/DRgKZaBDxVq+fgsU/h5Gb4vDtccv3EX0rZxRWFoCpwMtN2jGNfdp4ClmTaNsBPIrJVREZmd5KIjBSRaBGJTkhIcCpwYbh8PY2nZvzCN9tP8+eH6vG3Rxri46MDxTxao74weB5cOGYNPDt7yO5ESrmEKwpBVp9uWXaxEJGOWIXgr5l2tzHGNAO6Ac+LyP1ZnWuMiTLGRBpjIkNCQpzNXKDOJV9n0NRNbDx8jv977B6e71hHRwsXFbU7wbDFkHoFpj8IMVvtTqSU01xRCGKAsEzb1YDTtx8kIvcA04CexpjfZ/cyxpx2/I4HFmI1NXmsk+ev0Hfyz+w7k8SUJ5rT/96w3E9SnqVKU2vgWUAQzOgBB5fbnUgpp7iiEPwCRIhITREJAAYAizIfICLhwALgSWPMgUz7A0Uk+MZj4EFglwsy2WLP6Uv0mbSR85dTmP10Szo3rGh3JFVQyteGp5ZZv+c8Djvm2p1IqTvmdK8hY0yaiIwGfgR8genGmN0iMsrx/GTgLaA88ImjiSTNGBMJVAQWOvb5AbONMUudzWSHnw+fY+TMaIKK+zF7VCsiKuq6wkVecEUY9gPMHQQLn7EWuWkzxu5USuWbGA8cMRkZGWmio91nyMEPv8Xy0tztVC9fkhkjWlClTAm7I6nClHYdFoyEPd9Aq9HQ5X+tdZKVcjMistXxJfwWukKZk2b9fIy3Fu2mWXhZPh0aSZmSAXZHUoXNrxj0nQ5LQuDniXA5AXp+rMtfKo+hheAOGWP4cNkBJqw8ROcGoXw0UJeV9Go+vvDwv6zmopV/dyx/OROKBdmdTKlc6fXrHUhLz+CNhb8xYeUhHo8MY/ITuqykwhqFfP+f4ZEJcGQVzHjEKghKuTktBPl0LTWdZ7/cxpwtJxndsQ5jH2uEny4rqTJrPhQe/xLi91gDzy4ctzuRUjnST7B8SLySypOfbmb53jjeefQu/uuhejpQTGWt/sMw5Fu4cs4qBmc8tle08gJaCPLoTOI1+k/5mR0nE/loYFOGtq5hdyTl7sLvgxFLrfsHn3WDY+vtTqRUlrQQ5MGh+GQem7SRUxev8vnwe+lxjy4rqfIotIE1Cjm4MszqA3u+tTuRUn+ghSAX205coO/kjVxPy2DuyPtoXUeXlVT5VLqadWVQuTHMGwq/TLM7kVK30EKQg1X74hk0dROlS/iz4NnW3F1Vl5VUd6hkOeueQd2H4PtXYdU/dPlL5Ta0EGRj/tYY/jQzmjqhQcwf1Zrw8iXtjqQ8XUBJqzdRkydgzXuw+CVIT7M7lVI6oOx2xhimrD3C2CX7aFunApOfbE5QMf1jUi7i6wc9J0JQKKz/wBpn8Ng08NdpSZR99Iogk4wMw/8u3svYJft4pHEVpg+7V4uAcj0R6Pw36Poe7Pveuol89aLdqZQX00LgkJKWwUv/2c70DUcZ3qYG4x9vQoCf/vGoAnTfKOj7KcT8YnUvvfSHZTyUKhT6SQckX09jxOe/sGjHaf7atT5v9dBlJVUhufsxGPwVXDxhDTxLOJD7OUq5mNcXgrPJ1xkYtYmfj5zj3/0a82yH2jpaWBWu2h1h2PeQdg2mPwQx7jPFuvIOXl0ITpy7Qt9JGzkYn8TUIc3p27ya3ZGUt6rSxBp4VryUNVndwWV2J1JexGsLwa5TifSZtJGLV1OZ/fR9dKqvy0oqm5Wr5Vj+sg7Mfhy2z7Y7kfISLikEItJVRPaLyCEReS2L50VEJjie3ykizfJ6bkHYeOgsA6I2EeArzB/VimbhZQvjbZXKXVCo1UxUoy188yysH6cDz1SBc7oQiIgv8DHQDWgIDBSRhrcd1g2IcPyMBCbl41yXWrzzNMM++4UqZYrz9XOtqROqawsrN1O8lHUD+a4+sPxv8OMbkJFhdypVhLmik3wL4JAx5giAiMwFegJ7Mh3TE5hprAWSN4lIGRGpDNTIw7kuc2NZycjqZZk25F5Kl9SlBJWb8isGj31qXSFs+gSS46HXJPDTpVCV67miaagqcDLTdoxjX16Oycu5AIjISBGJFpHohISEOwrq7+tD5wYVmfVUSy0Cyv35+EDXsfDAW7BrPszuD9eT7E6liiBXFIKs+lre3qiZ3TF5OdfaaUyUMSbSGBMZEhKSz4iWAS3CiXqyOcX9dVlJ5SFEoN2r0PNjOLoWPu8ByXf2RUip7LiiEMQAYZm2qwG3D5HM7pi8nOtSOkZAeaSmT8CA2ZCwH6Y/COeP2p1IFSGuKAS/ABEiUlNEAoABwKLbjlkEDHH0HroPSDTGxObxXKUUQL2uMHQRXDlvjUKO3Wl3IlVEOF0IjDFpwGjgR2AvMM8Ys1tERonIKMdhPwBHgEPAVOC5nM51NpNSRVZYCxjxI/j6w2cPW81FSjlJjAf2UY6MjDTR0ToMX3mxxFPwRR84fwT6RMFdve1OpDyAiGw1xkTevt9rRxYr5dFKV4XhS6BKM/hqOGyZanci5cG0ECjlqUqWgycXQt2u8MN/wcq/6yhkdUe0ECjlyQJKwuNfQNMnYe2/4LsxuvylyjddfkspT+frB49+BMGVrGJw+Sz0na7LX6o80ysCpYoCEej03/Dwv2H/EpjZy+pmqlQeaCFQqihp8TT0+wxOb7OWv0w8ZXci5QG0EChV1NzVG5742ioCnz5ojUZWKgdaCJQqimreD8O/h/QUa/nLk1vsTqTcmBYCpYqqyo2t5S9LlIUZj8L+pXYnUm5KC4FSRVm5mjDiJwipB3MHwa9f2J1IuSEtBEoVdUEhMGyx1Vz07fOw7gMdeKZuoYVAKW9QLBgGzYO7+8KKd2Dpa7r8pfqdDihTylv4BUCfqTeXv7yc4Fj+spjdyZTNtBAo5U18fOChf1ijkJe9BVfOWVNUFAu2O5mykTYNKeVtRKDNi9BrMhxdB593h+R4u1MpG2khUMpbNRkIA+fC2YPWwLPzR+xOpGyihUApb1b3QRiyCK5dtIrB6e12J1I2cKoQiEg5EVkmIgcdv8tmcUyYiKwSkb0isltEXsz03NsickpEtjt+HnYmj1LqDoTda4018CtuNRMdWW13IlXInL0ieA1YYYyJAFY4tm+XBrxqjGkA3Ac8LyINMz3/oTGmiePnByfzKKXuREhdaxRymXD4oi/s+truRKoQOVsIegIzHI9nAL1uP8AYE2uM2eZ4nIS1SH1VJ99XKeVqparA8B+g2r0w/ynYPMXuRKqQOFsIKhpjYsH6wAdCczpYRGoATYHNmXaPFpGdIjI9q6alTOeOFJFoEYlOSEhwMrZSKkslysKTC6B+d1jyF1j+jo5C9gK5FgIRWS4iu7L46ZmfNxKRIOBr4CVjzCXH7klAbaAJEAu8n935xpgoY0ykMSYyJCQkP2+tlMoP/xLQbwY0HwbrP4BFo3X5yyIu1wFlxpjO2T0nInEiUtkYEysilYEsOyOLiD9WEfjSGLMg02vHZTpmKrA4P+GVUgXE1w96jIOgirDmPcfyl59ZaySrIsfZpqFFwFDH46HAt7cfICICfArsNcZ8cNtzlTNt9gZ2OZlHKeUqItDxDej+ARz4EWb21OUviyhnC8FYoIuIHAS6OLYRkSoicqMHUBvgSaBTFt1E/09EfhORnUBH4GUn8yilXO3ep6D/DIjdDtO7QmKM3YmUi4nxwBtBkZGRJjo62u4YSnmXY+thzkBrXqInvobQBnYnUvkkIluNMZG379eRxUqpvKnR1upempFmXRmc2Jz7OcojaCFQSuVdpUbWwLOS5WHmo7B/id2JlAtoIVBK5U/ZGlYxCG0IcwfDtll2J1JO0kKglMq/wAow9Duo1cEaZ7D23zrwzINpIVBK3ZliQdY01vc8Div/1xqJnJFudyp1B3SFMqXUnfMLsBa4CQyBnydaC9z0idLlLz2MFgKllHN8fOChd61RyMv+H1w9D/1nQYkydidTeaRNQ0op12gzBnpPgeMbIao9xO6wO5HKIy0ESinXaTwAhv0AaSkwrQtsm6k3kT2AFgKllGuFt4RR66B6a1j0Anz7PKRcsTuVyoEWAqWU6wVWsKahaP8abJ8N0zrD2UN2p1LZ0EKglCoYPr7Q8XUYPB+SYiGqA+z+xu5UKgtaCJRSBSuiMzyzFkLqwVdDYekbkJ5qdyqViRYCpVTBKxMGw5dAy1Gw6WP4vDsknrI7lXLQQqCUKhx+AdDtPWuls7jdMKUdHF5pdyqFFgKlVGG7uw88vQoCQ2FWH1j9HmRk2J3KqzlVCESknIgsE5GDjt9lsznumGMlsu0iEp3f85VSRUxIXXh6BdzTH1b/A77sC5fP2Z3Kazl7RfAasMIYEwGscGxnp6Mxpsltq+Pk53ylVFESEGiNRO4xDo6tgyn3Q4yuPGgHZwtBT2CG4/EMoFchn6+U8mQiEDncWt/Ax8da+WxzlI5GLmTOFoKKxphYAMfv0GyOM8BPIrJVREbewfmIyEgRiRaR6ISEBCdjK6XcSpWmVhfTOg/Akj/D10/B9SS7U3mNXGcfFZHlQKUsnnozH+/TxhhzWkRCgWUiss8YszYf52OMiQKiwFq8Pj/nKqU8QImyMGAObBhnrW9w5jfoPxNCG9idrMjL9YrAGNPZGHN3Fj/fAnEiUhnA8Ts+m9c47fgdDywEWjieytP5Sikv4eMD7V6BIYvg6kWY2gl2zrM7VZHnbNPQImCo4/FQ4NvbDxCRQBEJvvEYeBDYldfzlVJeqGY7a+K6Kk1hwdOw+GVIvWZ3qiLL2UIwFugiIgeBLo5tRKSKiPzgOKYisF5EdgBbgO+NMUtzOl8ppQiuZF0ZtHkRoqfD9IfgwnG7UxVJYjzw7nxkZKSJjtZuZkp5jX3fw8JnrV5GvadAva52J/JIIrL1ti78gI4sVkp5gvrd4Zk1UCYc5jwOy9+B9DS7UxUZWgiUUp6hXE14ahk0GwrrP4BZvSApzu5URYIWAqWU5/AvDo9OgF6TrFHIU+6HYxvsTuXxtBAopTxPk0HWXEUBgTDjEdgwXkcjO0ELgVLKM1W8C0auhgY9YNlbMHewNfZA5ZsWAqWU5ypeCvrNgK5j4eCPENUeYnfYncrjaCFQSnk2EbjvWWsFtPRUmNYFts7QpqJ80EKglCoawlpYE9dVbw3fjYFvn4eUK3an8ghaCJRSRUdgBXjia2j/GmyfDdM6w9lDdqdye1oIlFJFi48vdHwdBs+HpFiI6gC7v7E7lVvTQqCUKpoiOltNRSH14KuhsPQN6x6C+gMtBEqpoqtMmHUTueUo2PQxfN4dEk/ZncrtaCFQShVtfgHQ7T3o+xnE7YYp7eDwSrtTuRUtBEop73B3H3h6FQSGwqw+sPo9yMiwO5Vb0EKglPIeIXWtqSnu6Q+r/wFf9oXL5+xOZTstBEop7xIQaK1p0GMcHFsHEyOtuYq8eMyBFgKllPcRgcjh8PRKqNrMmqtofGPYNMkrl8R0qhCISDkRWSYiBx2/y2ZxTD0R2Z7p55KIvOR47m0ROZXpuYedyaOUUvlSqZE1AG3Ej1Y306WvwYSm8Ms0SEuxO12hcfaK4DVghTEmAljh2L6FMWa/MaaJMaYJ0By4AizMdMiHN543xvxw+/lKKVXgwu+DYYth6HfWKmjfvwofNYdtM71i7IGzhaAnMMPxeAbQK5fjHwAOG2N0BWqllPupeT+MWGpdJQRWgEUvwMR7YcdcyEi3O12BcbYQVDTGxAI4fofmcvwAYM5t+0aLyE4RmZ5V09INIjJSRKJFJDohIcG51EoplR0RqNPZun8wYA4EBMHCZ+CT+2DXgiLZ5VRMLlO1ishyoFIWT70JzDDGlMl07AVjTJYf5iISAJwG7jLGxDn2VQTOAgb4X6CyMWZEbqEjIyNNdHR0bocppZTzMjJg7yJY/U9I2AcV74YOr0P97lbR8CAistUYE3n7fr/cTjTGdM7hReNEpLIxJlZEKgPxObxUN2DbjSLgeO3fH4vIVGBxbnmUUqpQ+fjAXb2gwSPWFcHqf8J/BkPlJtDxTYjo4nEF4XbONg0tAoY6Hg8Fvs3h2IHc1izkKB439AZ2OZlHKaUKho8v3NMPnt8CPT+Bq+dhdj/49EE4vMqjF8LJtWkox5NFygPzgHDgBNDPGHNeRKoA04wxDzuOKwmcBGoZYxIznT8LaILVNHQMeObGPYecaNOQUsp2aSmw/QtY+2+4dAqqt4VOb1oL47ip7JqGnCoEdtFCoJRyG6nXYNsMWPc+JMdBrY7Q6b+h2h8+b22XXSHQkcVKKeUM/+LQ8hkYsx0e/Duc2QnTHoAv+8Pp7XanyxMtBEop5QoBJaH1C/DiTnjgLTi5GaLaw9zB1vTXbkwLgVJKuVKxIGj3Kry001o7+ehamNQG5o+AswftTpclLQRKKVUQipe21k5+cQe0fRn2L4WPW8DCUXD+iN3pbqGFQCmlClLJctD5b1ZBuO852L0QPoq0pq+4eMLudIAWAqWUKhxBIfDQu1ZBuPcpa/6iCc2sCe4unbY1mhYCpZQqTMGV4OF/wQvboOlg2Po5jG8CS9+AZHvmUdNCoJRSdigTBo+Mh9HR0KgvbJ4E4++BZX+DK+cLNYoWAqWUslO5mtDrE3j+F2siuw3jYdw9sPJduHqxUCJoIVBKKXdQoQ48Ng2e+xlqd4S1/2ddIaz5F1xPKtC31kKglFLuJLQBPD4LnlkL4a1h1d+tK4T14yDlcoG8pRYCpZRyR5Ubw6C58KeVUKUpLP+bdVP5yBqXv5UWAqWUcmfVmsOTC2D4UqjUCCpEuPwtcl2YRimllBuo3soqCAVArwiUUsrLaSFQSikvp4VAKaW8nFOFQET6ichuEckQkWyX4xGRriKyX0QOichrmfaXE5FlInLQ8busM3mUUkrln7NXBLuAPsDa7A4QEV/gY6Ab0BAYKCINHU+/BqwwxkQAKxzbSimlCpFThcAYs9cYsz+Xw1oAh4wxR4wxKcBcoKfjuZ7ADMfjGUAvZ/IopZTKv8K4R1AVOJlpO8axD6CiMSYWwPE7NLsXEZGRIhItItEJCfbM0KeUUkVRruMIRGQ5UCmLp940xnybh/eQLPaZPJx36wnGRAFRAJGRkfk+XymlVNZyLQTGmM5OvkcMEJZpuxpwYxWGOBGpbIyJFZHKQHxeXnDr1q1nReT4HeapAJy9w3Pt4El5PSkreFZeT8oKnpXXk7KCc3mrZ7WzMEYW/wJEiEhN4BQwABjkeG4RMBQY6/idlysMjDEhdxpGRKKNMdn2cHI3npTXk7KCZ+X1pKzgWXk9KSsUTF5nu4/2FpEYoBXwvYj86NhfRUR+ADDGpAGjgR+BvcA8Y8xux0uMBbqIyEGgi2NbKaVUIXLqisAYsxBYmMX+08DDmbZ/AH7I4rhzwAPOZFBKKeUcbxxZHGV3gHzypLyelBU8K68nZQXPyutJWaEA8oox2gFHKaW8mTdeESillMpEC4FSSnk5ryoE2U1+545EZLqIxIvILruz5EZEwkRklYjsdUxC+KLdmbIjIsVFZIuI7HBkfcfuTLkREV8R+VVEFtudJTcickxEfhOR7SISbXee3IhIGRGZLyL7HH9/W9mdKSsiUs/xZ3rj55KIvOSy1/eWewSOye8OYHVTjcEa3zDQGLPH1mDZEJH7gWRgpjHmbrvz5MQxGLCyMWabiAQDW4Fe7vhnKyICBBpjkkXEH1gPvGiM2WRztGyJyCtAJFDKGNPD7jw5EZFjQKQxxiMGaInIDGCdMWaaiAQAJY0xF22OlSPHZ9kpoKUx5k4H1t7Cm64Icpr8zu0YY9YC5+3OkRfGmFhjzDbH4ySs8SJVcz7LHsaS7Nj0d/y47bchEakGdAem2Z2lqBGRUsD9wKcAxpgUdy8CDg8Ah11VBMC7CkFOk98pFxGRGkBTYLPNUbLlaGrZjjWlyTJjjNtmBcYBfwEybM6RVwb4SUS2ishIu8PkohaQAHzmaHqbJiKBdofKgwHAHFe+oDcVApdMfqeyJyJBwNfAS8aYS3bnyY4xJt0Y0wRr3qsWIuKWTW8i0gOIN8ZstTtLPrQxxjTDWn/keUcTp7vyA5oBk4wxTYHLuPmaKI7mq0eBr1z5ut5UCHKa/E45ydHe/jXwpTFmgd158sLRDLAa6Gpvkmy1AR51tLvPBTqJyBf2RsqZY1YBjDHxWLMOtLA3UY5igJhMV4TzsQqDO+sGbDPGxLnyRb2pEPw++Z2jqg7AmvROOclxA/ZTYK8x5gO78+REREJEpIzjcQmgM7DP1lDZMMa8boypZoypgfX3daUx5gmbY2VLRAIdnQVwNLE8iLWKoVsyxpwBTopIPceuBwC36+Bwm4G4uFkICmf2UbdgjEkTkRuT3/kC0zNNfud2RGQO0AGo4JjY72/GmE/tTZWtNsCTwG+OtneANxxzTLmbysAMR88LH6xJEN2+W6aHqAgstL4X4AfMNsYstTdSrl4AvnR8OTwCDLc5T7ZEpCRWr8dnXP7a3tJ9VCmlVNa8qWlIKaVUFrQQKKWUl9NCoJRSXk4LgVJKeTktBEop5eW0ECillJfTQqCUUl7u/wM72s7bUrtaNwAAAABJRU5ErkJggg==\n",
-      "text/plain": [
-       "<Figure size 432x288 with 1 Axes>"
-      ]
-     },
-     "metadata": {
-      "needs_background": "light"
-     },
-     "output_type": "display_data"
-    }
-   ],
    "source": [
-    "plt.plot(f_tabs.real)\n",
-    "plt.plot(f_tabs.imag)\n",
-    "plt.show()"
+    "# Delay as a Convolution System"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 5,
+   "execution_count": 2,
+   "id": "7210e2de",
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "array([ 0.62841744+0.125j,  0.62841744-0.125j, -0.18707572+0.125j,\n",
-       "        0.08352233-0.125j, -0.02486405+0.125j, -0.02486405-0.125j,\n",
-       "        0.08352233+0.125j, -0.18707572-0.125j])"
+       "[0, 0, 0, 1]"
       ]
      },
-     "execution_count": 5,
+     "execution_count": 2,
      "metadata": {},
      "output_type": "execute_result"
     }
    ],
    "source": [
-    "i_tabs = ifft(fftshift(f_tabs))\n",
-    "i_tabs"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 6,
-   "metadata": {},
-   "outputs": [
-    {
-     "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": [
-    "shiftet= fftshift(f_tabs)\n",
-    "plt.plot(shiftet.real)\n",
-    "plt.plot(shiftet.imag)\n",
-    "plt.show()"
+    "# Create the FIR\n",
+    "D = 3 # Delay value\n",
+    "h = [0]*D+[1]\n",
+    "h"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 7,
+   "execution_count": 21,
+   "id": "892c62dd",
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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\n",
+      "image/png": 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\n",
       "text/plain": [
        "<Figure size 432x288 with 1 Axes>"
       ]
@@ -148,56 +72,22 @@
     }
    ],
    "source": [
-    "plt.plot(i_tabs.real)\n",
-    "plt.plot(i_tabs.imag)\n",
+    "d = 3.3\n",
+    "k = np.linspace(-5,10,1000)\n",
+    "h_ideal = np.sinc(k-d)\n",
+    "plt.plot(k,h_ideal)\n",
     "plt.show()\n"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": null,
-   "metadata": {},
-   "outputs": [],
-   "source": []
-  },
-  {
-   "cell_type": "markdown",
-   "metadata": {},
-   "source": [
-    "# Delay as a Convolution System"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 8,
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "[0, 0, 0, 1]"
-      ]
-     },
-     "execution_count": 8,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "# Create the FIR\n",
-    "D = 3 # Delay value\n",
-    "h = [0]*D+[1]\n",
-    "h"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 9,
+   "execution_count": 4,
+   "id": "c640e03e",
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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\n",
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6jDEvWnB9pfrlYElmov2Bn3VIaWZeSozNrVGhworAXwkUiMhoYB9wKXD5oQcYY0Z7vxaRJ4BXNOxVoAVDDb7XwZ2vdBE1FUA+B74xpktEvkt39Y0TeNwYs0lEFvc8f9Rxe6UCYV9DOyKQmRAEY/iJ3tm2OqSjAseKHj7GmKXA0l7f6zPojTHftOKaSg1URUMbGfGRRITZP98wOsJJSmyEzrZVAWX/v3ylAqS8MThKMr2yk6I08FVAaeCrkFHeYO86+L1laS2+CjANfBUSjDHdyyoEQQ2+V05StPbwVUBp4KuQUNviwtXlCaoefnZSFE0dXRxo141QVGBo4KuQEEwlmV7etlTosI4KEA18FRK8Y+U5QRj4OqyjAkUDX4WEYOzh5+hWhyrANPBVSChvaCMq3EFyjH0bn/SWFhdJmEO0h68CRgNfhYTyxjayE6PpWc8pKDgdwohErcVXgaOBr0LCviCrwffKTtJafBU4GvgqJFQ0tB3cPDyY5CRF6wJqKmA08NWw19HlpqqpI0h7+FHsb2zH7em9hYRS1tPAV8NeZWMHEFwVOl5ZidF0eQzVTR12N0WFAA18NeztC6KNT3rT0kwVSBr4atj7vAY/+MbwdfKVCiQNfDXsBeOkKy/vL6EKvXGrAkADXw175Y3tpMZGEBXutLspXxAfFU58VJiWZqqA0MBXw155Q3BtfNJbTlK0juGrgNDAV8NeeUMbWUG0Dn5vWTrbVgWIBr4a1owxQd/Dz9aNUFSAaOCrYe1AWxctLndQLYvcW3ZSNPWtnbS53HY3RQ1zGvhqWPMuWxDMPXzvLyNdYkH5mwa+GtaCuQbfS2vxVaBYEvgico6IbBORYhG5rY/nrxCR9T1/VojINCuuq9TRlNV3h2hwD+l0/zLSwFf+5nPgi4gTuA+YDxQCl4lIYa/DdgGnGmOmAr8CHvb1ukr1R1l9K5FhDtLjI+1uymFlJkQh0r2Es1L+ZEUPfzZQbIwpMca4gCXAwkMPMMasMMbU9zz8BMi14LpKHVVZfRs5ycG18Ulv4U4HmfFamqn8z4rAzwFKD3lc1vO9w/kW8NrhnhSRRSJSJCJF1dXVFjRPhbKy+jZyk2PsbsZRZSdp4Cv/syLw++o69bm4t4icRnfg//hwJzPGPGyMmWWMmZWenm5B81QoK6tvJTc5eMfvvbQWXwWCFYFfBuQd8jgXKO99kIhMBR4FFhpjai24rlJH1NzRRX1rJ3lDoIefk9y91aFHN0JRfmRF4K8ECkRktIhEAJcCLx16gIiMBF4ArjTGbLfgmkod1b6eCp2h0MPPS47B5fZQ2aQ3bpX/hPl6AmNMl4h8F3gDcAKPG2M2icjinucfBO4AUoH7e26edRljZvl6baWOpKy+FRgigZ/S/SmktK6NrCDcqEUNDz4HPoAxZimwtNf3Hjzk62uBa624llL9VVrnDfzgH9LJ6/mlVFrXyuzRKTa3Rg1XOtNWDVtl9W1EhTtIi4uwuylH1V06CqU9n0qU8gcNfDVseUsyg7kG3ysyzElmfBSldVqpo/xHA18NW2UNQ6Mk0ysvJVp7+MqvNPDVsNXdwx9CgZ8cQ1mdBr7yHw18NSw1tXfS0No5JG7YeuWmxFBxoB1Xl8fupqhhypIqHRU6jDH8e80+nvpkDzurWxiREMXFx+bwzRNHExEWPP0H7x6xQ2HSlVdecjTGdK+amZ8Wa3dzDmrvdPPoByW8uLacmuYOxmfEc9WJozhvStaQuD+iPhc8P6Eq6LV3urnu76v4/r/W0epyc/60LBJjwvl/S7fytYc/pr7FZXcTDyqrGzqTrrwO1uIH0Th+dVMHF96/gt+9uZ3MhEjOnZJFTUsH3/3HGm5aspaOLt2layjRHr7qF1eXh+v+XsSHxTX8fEEhV5+Yj8PR3btbuqGCW55ZyzefWMkzi+YQFe60ubWfh+aQDPwgqdRpc7m58rFP2VPbyuPfnMXpEzMBcHsMDy7fyd1vbMPV5ea+y2cS5tS+41Cg/5dUv9z56mY+2FHDby+eyrdOHn0w7AHOnZLFvZdOZ11pA3e/sc3GVn5ub10rsRFOUmKDvwbfa0RCFOFOCZoe/h3/2ci2yiYe+PrMg2EP4HQI3zltHHcsKOSNTZX8/i1dLWWo0MBXR/XGpv387eM9XHvyaL46K6/PY86ZnMVVJ4zisQ938dmuugC38Iv21LYyMjV2SI0xOx1CdlL0wRnCdnp/ezXPrirjO/PGMW9CRp/HXHPyaC6bnccD7+3k/e26lPlQoIGvjuhAeyc/f3Ejk7IS+PH8iUc89vb5k8hOjOLOVzfbvurjntoW8lOHzg1br7zkGErr7R3S6XR7+OUrmxmVGsONZ4w74rH/c/4xjE2P5acvbqDNpeP5wU4DXx3R3a9vo6a5g99ePIXwo4zTRkc4+cHZE1hX1sjL67+wQnbAuD2G0ro2Rg7FwE+Jtr0W//lVZRRXNfOz8wqJDDvy/ZiocCe//vIUSuvauO/d4gC1UA2WBr46rOKqZp7+dA9XzhnF1Nykfr3mwhk5jM+M4/53d2KMPb38/Qfacbk9jEoJntLG/spNjqG2xUVLR5ct13d7DA+9X8LknATOnNT3UE5vJ4xN5aIZOTz0/s6gGI5Sh6eBrw7r7je2EhMRxk1nFPT7NQ6HcP3csWyrbOK9bfaM6+6paQEYkkM6+andv6R217bYcv3XNlawq6aFb88bN6D7H7eeMxGHCH9cpjdwg5mWZQZAe6ebd7dWsba0gQPtXaTFRTBnTConjEn9r2qXYLJqTz1vbKrkB2eNJzUuckCvvWB6Nr9/cxuPfFDCaRP710u00p6eXuZQHNLJT+tu8+6aVo7JTgz49R95v4QxabF86ZgRA3rdiMQovnliPg9/UMLiU8cyPjPeTy30jdtj+LC4hs921VLX0klidDgzRyYxb0JGUE0c9BcNfD9yewxPfrybe97eQX1rJxFhDhKiwqlvdfHnd4oZmx7LHecfw6njg2/v3j++tZ20uAiuOXn0gF8b7nRw+fEj+d2b29ld0xLwWaO7a1uIcDqG5EYidvbwN+5rZF1ZI784vxDnIDoii08dyz8+3cvv39zGQ1cG3/5Gb27az51Lt7CntpUwh5AUE0Fjm4sH3Ya0uEhuObOAy2aPHNR7Hyo08P2k6kA7i59axeq9DZw8Lo3Fp47l+DEphDsdtHR0sWxLJfe+vYNvPP4Z1548mtvPnRQ0/9DWlzXwYXENt82fSGzk4P6JfGVWHn9ctoMlK0u57SjVPVbbW9tKbkp00Px9DkRsZBgZ8ZHsqgl84C9ZuZfIMAcXzsgd1OuTY7s7CPe8vYNt+5uYMCI4evldbg//89Imnv50LxNHxHP/FTM5bUIG0RFOOrrcrNhZywPv7eRnL27k9Y37ufeyGUNq/sZADP/PMDbYuv8AF/zlI7bub+KeS6fz5Ldmc3JB2sEql9jIMBZOz+HVm07hGyeM4tEPd3HTkjV0uYNj0awHl+8kPiqMK44fOehzZCZEcfrEDJ5bVRrwxcB217Ye7CkPRflpsewJcA+/1dXFf9aUc+6U7uUyBuvqk/KJiXDy0PKdFrZu8Dq63Fz/5Cqe/nQv188dw8s3nsy5U7KIjuiuPooMc3LahAyeWTSH31w0hc9213H+nz9ktw2/cANBA99iOyqbuOKRTzEYnlt8Igun5xz25ldUuJP/XTiZ2+dP5NX1Fdz+wgbb69d3Vjfz2sb9XHXCKOKjBv+DD3DZ7Dxqml28t63KotYdnTGGvbUtjEwZeuP3XqNTY9lVE9hqlzc27aepo4tLj+t7Yl1/JcVEcPnskfxnXbntFTsej+H7/1rH21ur+NWXJ3P7uZMOW1osIlw6eyTPXn8Cra4uvvrQx+ysbg5wi/1PA99CpXWtXPbIpzgdwj+vm0NhdkK/Xnf9qWO5+YwCnl1VxgM294weXl5ChNPB1ScNfOy+t1MK0kmOCefl9RUWtKx/appdtLjcQ7JCx2tUWgw1zR00tXcG7JovrS0nJyma4/J930/3W6eMxiHwyAclFrRs8H77+lZeXV/BT86dyJVzRvXrNdPyknjm+hPwGMNVj31G1YF2P7cysDTwLdLq6uK6vxfh6nLzj+vmMCY9bkCvv+XMAi6Y1l3d8sEOe8oZKxrbeGFNGV87Lo+0AVbm9CXc6eDcKVks21xJqyswdeV767o/io8awkM6o3vavqc2MD3k+hYXH+yoYcG0LEuqxrISo7loRi7PrCyluqnDghYO3Bub9vPQ+yV8fc5IFs0dO6DXjs+M56/fnE19q4tr/rbStjkR/qCBbwFjDLc+t57tlU38+fKZjMsYWNhD90fK/7toCuMy4rjpn2ts6Vk89sEuPAauO2WMZec8f1o2bZ1ulm0JzLBOSbU38IduD99b1RSoG7evb9pPl8dw/tRsy855/aljcLk9/PWjXZads79K61r54bPrmJKTyM8XFA7qHFNyE7nv8plsqWji5iVrbB9qtYoGvgUeer+EV9ZXcOs5E30qsYyNDOP+K46l1eXm9hc2BHSmakOri398tpcLpmUfXKbXCsflp5CZEMnL6wKz1MLO6hbCnTKkx/APlmYGKPBfWlvOmLRYjunnEGR/jEmP49zJWTz5yZ6ADk15PIYfPLsODNx/xcyjLg1xJKdNzOCOBYUs21LFX4bJshGWBL6InCMi20SkWERu6+N5EZF7e55fLyIzrbhuMHhvWxW/fX0rC6Zmcf1c33vG4zLi+NGXJvD21iqeW1VmQQv7528r9tDqcrP41IF9/D0ap0NYMDWb5duqORCAH/yS6mbyU2OH9Prs0RFORiREsSsAlTpVTe18squW86dlW76y6A3zxtLU3sXTn+619LxH8tSne/hsVx0/X1BoScflqhNGcdGMHP64bDvvbg1c8YG/+PxTISJO4D5gPlAIXCYivT9HzQcKev4sAh7w9brBYHdNCzf9cw0TMuO565Kplv3AXHPSaGbnp/DLlzdT0ej/lRNbXV08sWIXZ07K8Evt9PzJI3C5PQFZaqG+ci/3uX4GTZV+v5Y/TUtq41s7vuP397FizSaWhP+S88ZY/wtyck4ipxSk8diHu2jv9P9KmqV1rfzmta3MHZ/OV2YNbi5BbyLCnRdOYdKIBG5esibg5bJWs+L/8myg2BhTYoxxAUuAhb2OWQj83XT7BEgSkSwLrt2nndXNft96rbmji0VPFuFwCI9cNYuYCOvmsDkcwt1fmUqnx8NP/73R70M7//yslPrWTm6Yd+SlcAdrxshk0uIieGuzf8Or0+1h4YGnGde+AZb/1q/X8reru55lUucmzPLf+PU6iSv/yHGObRRsuc8v579h3liqmzp4frV/P60aY/jx8+tx9NwLs/LTSnSEk4euPBYR4fonV/m9AKHV1eW3XyxWBH4OUHrI47Ke7w30GEvUt7i46P4V3PiPNXT6aSKTMYYf/msdxVXN3Hf5TEvHvL1Gpcbyw7Mn8M7WKl7y4/i3q8vDox+UMHt0CseOSvbLNZwO4YyJmby3tcp/k7B+nUH4r5L5unMZDgwUPQa/SIRfB34tH5/8OgN+kcicuhdxYJCix/3zPnquc1rTy369zgljUpmWl8RDy0v8OrHwhdX7WLGzltvmTyQnyfolNfJSYvjzZTPYXtnEj55d77dOmKvLw+KnVnPJgx/T7IfqICsCv69fpb3/NvpzTPeBIotEpEhEiqqrBz4EkBwbwffPGs+bmyv5/r/W4fbD3fV73t7B65v285NzJ3HSuDTLz+919UmjmZ6XxC9e2kRts3/K215cu4+Kxna+Pc/asfvezirMpKmji09Kav1zgZvXUzHyfNpMz5T4sGiY8hW4eYN/rucvN6+HyV/B7YwC6P6vP95HgP6+RIRvzxvL3rpWlm7cb+m5vepaXPz61c3MHJnE5bMHPzv8aOaOT+fH50zk1Q0V3P+e9fNl3B7DLc+s4f3t1fzo7AnEDXJZkyOxIvDLgEOn5+UCvbuk/TkGAGPMw8aYWcaYWenpg6t4+caJ+dw+fyIvryvn1ufWW1pS9er6Cv60bAcXz8zlW4NYWGwgnA7hrkum0tzRxS9e3mz5+b2bURdmJfh9AbeTC9KIDnf6b1gnfgR1XZFE0olxRoK7AyITID7z6K8NJvEjIDIeh7uDdhOOw1/vI34Eu5scREonJsy/f19nTcpkXEYcD7znnz0S/m/pFprau/h/F03x++qzi+aO4YJp2fzuzW28s9W6f8sej+H2F9azdMN+fnbeJL7q44znw7Ei8FcCBSIyWkQigEuBl3od8xJwVU+1zhyg0Rjj1+mX1586lu+dOZ7nV5fx8/9YMw6+oayRHzy7lmNHJfP/LpockP1Sx2fGc+PpBby8rtzysHx9435Kqlu4Yd5Yv7+XqHAnc8en8dbmSr99HPY0VfK842zkurfh2KuheYjeuG2pglnXcAV3sjL1y355Hx6Poa2hgg8TL0Cu9e/fl8MhLD51LFsqDlh+4/7jnbU8u6qM6+aOYeII68pKD0dE+O3FUynMSuDmf65lR2WTz+f0eAw/+89G/lVUxk2nj+NaC+fB9OZz4BtjuoDvAm8AW4B/GWM2ichiEVncc9hSoAQoBh4Bvu3rdfvjpjPGccO8sTz96V5+9coWn4KmpLqZq5/4jNTYSB668lif6nsHavGpY5k4Ip6fvbiBxjZrShu73B7+8NY2CjLiOHeK3+6f/5ezCkew/0A7G/Y1+uX8v4j5Cc9nfQ9GTIEFf4BLn/bLdfzu0qeRBX/AnTGZP0Ut9sv7WFvWwDVtt1B/2v8F5O9r4fRscpKi+dOy7Zb9wu/ocvPTFzeQlxLNTaf3f5MeX0VHOHn4qllEhju58rHPfFozyBjDHS9t5B+f7uWGeWP53lnjLWzpF1lSi2WMWWqMGW+MGWuMubPnew8aYx7s+doYY77T8/wUY0yRFdc9GhHh1i9N4OqT8nn8o13c8Z9Ng7pxVFrXyhWPfoox8LdrZluy7MBARIQ5uOuSqVQ3dfB/S7dYcs5/r9nHzuoWfnD2+IAtI3zGxAwcgl+GdYwxbN/fREFGcCzJa4WCjDh2VPlnAa9lmysJcwjzxgfmpna408EtZxawrqyR1y0ay3/wvRJKqlv45cLJB1e/DJScpGieunY2bZ1urnj0UyoHMTO+0+3hR8+t56lP9rL41LHc+qUJfv+kPXRnp/STiHDHgkKunzuGJz/Zw3V/LxrQ3e9N5Y1c/MAKWjq6ePJbxw9q2QQrTM1N4rq5Y1iyspSPimt8OldHl5s/LdvBlJzEAe9s5Ivk2Ahm5af4JfD3NbTR1NHFxKxhFPiZcVQ3ddDQ6rL83Mu2VHJcfopPSyEP1EUzcynIiOPuN7f5XLFTXNXEfe8Vs2BqFqdNsKcSa+KIBJ64+jhqmzu4+IEVFA/gl3NjayfXPLGS51aVcfMZBfz4HP+HPYRA4EN36N9+7iTuvHAy7++oYcG9H7B6b/0RX2OM4V9FpXz1wY9xOoRnF5/Y79Uv/eV7Z45ndFost72w3qda4Mc+3MW+hjZ+FIAeRW9nF2aydX+T5UvnbtvfPZY6MUg23bCCt3MxkCDpjz21LWyvbObMwsDe0HY6hB9+aQIl1S0sWVl69BccRqfbw/eeWUdshJM7zh/cWjlWmTEymX8umkN7p5uL7v+oXyXUn5TUMv+e9/l4Zy13XTKV7501PmA/hyER+F5XHD+Kp689nk634eIHVnDTP9ewqbzxv8YUPR7Dxztr+fpjn3Lrc+uZkpvIv799UlDs3hMV7uQ3F02htK6N370xuM2iyxva+PPbxZxdmMlcG7ZWPGNSd8i8vcXaXv7WnsAP1r1UB8M7PLW90trA9y5kd+akwPeMzy7M5IQxqdz1+lZqBllqfN+7xWzY18idF04hIz7K4hYO3NTcJP797ZMY27Pw4Tce/4yVu+v+K1eMMawtbeDbT6/i0oc/ITzMwfM3nMhXZ/mnGudwQm6LwzljUnn9llO4/72dPPHRbl5aV05WYhSj02JxewzFVc3UtrhIjY3gF+cXctUJ+UG10fjxY1K5cs4o/rpiFwumZTFzZP8nSxlj+J+XNuExZtCrCPpqdFos4zLiWLalim9asOa+19b9TeQmR/u8aUswyU2OJj4yjM0V1t7kXra5kvGZcbYsIS0i/OrLk5l/z/vc+eoW/vi16QN6/eq99fz5nWK+PD07YMUG/ZGXEsOz15/A4x/t4oH3dvKVBz8mPT6SsemxCEJxdTPVTR3ERDi55cwCFs0dY+ns/P4KucAHiI8K58fnTGTRKWNYurGCz3bVUVrXikOEeRMymDs+jbMKM235H9Ift54zgbe3VPL9Z9by4ndOIimmf/tvPrOylLc2V/LTcyf5ZXZwf505KZNHPyjhQHsnCRYF9NaKA8NqOAe6w3FSdgKbyw9Yds7G1k4+213HIgsW+huscRlx3HDqWO59p5jTJ2Zw/rT+Lctc1dTODU+tIjspiv+9YLKfWzlwYU4Hi+aO5YrjR/Haxv18VFzD3rpWBMNJY1OZMyaVc6dmWfZvflBttO3KQSA5NoIrjh/FFcf3bzecYBEfFc69l83g8kc+ZfFTq/j7NccTEXbk0bktFQf435c3c9K4VL9PGDuaswozeHD5TpZvq+73D/uRdHS5KalpCegN6EApzErgX0WluD3Gkmqq97ZX4fYYzgrw+H1vN55RwIfFNdz+wgYm5yQyOu3InzZaOrpY/OQqGts6eeGGkwJ6s3mgYiPDuOTYXC451poF3KwUUmP4w8ms/BTuumQqn5TUsfipVUdcjbC0rpVv/vUzEqPD+cNXp9s+RDU9L5nUWOsWUyuuasbtMUFxn8Vqx2Qn0Opys9uixbTe2lxJWlwE03OTLDnfYIU7Hdx72QzCncJVjx+5rLHN5ea6vxextrSBP31tuu3FE0OZBv4Q9uUZOdx54WTe3VbF5Y980mfly5q99Vz0wApaXW7+evVxZCbYf5PL6RBOn5jBu9uqLFngbkvF8KvQ8fKGmxXDOq4uD8u3V3P6xAzbf+kD5CbH8NerZ1PX3L3g4cY+JuTtqmnh4gdW8HFJLb//6jTOmRw84/ZDUUgP6QwHVxw/iqToCG57fj1n/XE5F83M5cSxqbg9hnd7VtrMSozm6WuPD6oKljMLM3l2VRkrd9Vxoo8L0K0vayAmwjngfYSHgoKMeMKdwqbyAz4Pf63cXUdTexdnTgqe9YWm5yXxj+vmcP2Tq7jgLx/y5ek5nDohHYcIHxXX8PzqMqLCnTz+zeNsq7cfTjTwh4HzpmYxfWQS9yzbznOryvhHzw5D8ZFhXHPSaG46s8DWG0V9OaUgjYgwB29tqbQg8BuZnJMYsBnDgRQR5qAgI57NFb738N/aXElEmIOTC/y3wutgTMtLYunNp/CXd4pZsnIvL6zZB0B0uJNLjs3je2cVBEX55XCggT9M5CRFc9cl0/jlwsmUVLfgdAhj0mMJD9Kt/mIiwjh5XBrLtlRyx4LCQU88cXV52FxxgG+cMLRuvA/EMdkJvLO1CmPMoP+ejDG8vbWSk8elBWX1WUpsBHecX8iP5084uHl7fmosUeGBXTJhuAvONFCDFhXupDA7gQkj4oM27L3OnJRJaV2bTxOLtlc24eryMNXmm5D+NH1kErUtLvb6MDt5e2UzpXVtQTWc05fIMCcTRyQwcUSChr0fBHciqGHtjJ6Znst8mHW7vqz7Rt+0YRz43sl1R1sO5Ei8f8dn2DC7VgUPDXxlm8yEKKblJvpUnrm2tJ7kmHDyUqzf1i5YjM+MJy4yjNV7GgZ9jrc2VzI1NzEoqrSUfTTwla3OnJTJ2tIGqpoGvrwswGe76jguPyXgi8AFktMhTMtLHHQPf19DG2tLG4blxDQ1MBr4ylbeFRvf6VnQayAqD7Szu7aV2aNTrG5W0Jk5Mpmt+5toGcTG1q9t6N5c7rwgWntG2UMDX9lq4oh4cpOjeX3TwDfF+GxXHQDHj061ullB57j8FNweQ9GegffyX1lfwTHZCeQfZfkCNfxp4CtbiQjnTc3igx011A5wudzPdtURG+Fk0jDa9ORwjstPIcLp4MMdA9sTtrSulbWlDZw3VXv3SgNfBYGLZuTi9hheWT+wfe0/2lnDrPwUwoK8/NQK0RFOjh2VzIfFtQN63WsbdThHfW74/6SooDdhRDyTshL4d88My/7YXdNCSXULp00I/CYudjm5II0tFQf6vXGIMYYXVu9jam6iLWvfq+Cjga+CwoUzsllb2kBJdf8mYb2ztfsm7+kTg3sikZVO7lmC4oN+Duts2NfI1v1NfCXAuyqp4KWBr4LCwuk5OAReWN2/Xv47W6soyIhjZKp9G7kE2pScREYkRLF0Q/9ucC9ZWUpkmIMLLNhzQA0PGvgqKGQmRHH6xAyWrNxLR9fh1/YHaGh18emuWk4PsVmjDocwf8oIlm+vpqm984jHtrncvLy2nPOmZJEYHVwL5yn7aOCroPGNE/OpaXbx6lFu3r68rpxOt2HhtJwAtSx4nDclC1eX56jLUTy7qpSmji4uO35kgFqmhgKfAl9EUkTkLRHZ0fPfL+yoLSJ5IvKuiGwRkU0icrMv11TD18nj0hiXEcfD75fg8ZjDHvfc6n1MHBEfkjsfzRyZTE5SNM8WlR32mC63h4ffL2HmyCRmjer/Jvdq+PO1h38b8LYxpgB4u+dxb13AD4wxk4A5wHdEpNDH66phSET47mnj2Lq/iVc39N3LX7WnjnWlDXztuNC8EelwCF+fM4oVO2vZtr+pz2NeXFtOWX0bN8wbN6yXnFAD52vgLwT+1vP134Av9z7AGFNhjFnd83UTsAUIvc/iql/On5bNhMx4fv/mtj736b3v3Z0kxYSHbOADXHpcHtHhTu59Z8cXnmvp6OLuN7YyLTeRMyaG1j0OdXS+Bn6mMaYCuoMdOOK/MBHJB2YAnx7hmEUiUiQiRdXVA5tVqIY+p0P42YJJ7K5t5XdvbPuv597aXMk7W6u4fu7YoNzEI1CSYyNYNHcMr66v4OOd/z0R61evbKbyQAd3nH9MUOxbq4LLUQNfRJaJyMY+/iwcyIVEJA54HrjFGHPY/dqMMQ8bY2YZY2alp4fOpBr1uVMK0rlyzige/XAXDy3ficdj2Fx+gFufW8eEzHiuPWW03U203fWnjiE/NYYb/7ma4qpmPB7DPct2sGRlKd+eN5Zjdexe9UGMOfzNsaO+WGQbMM8YUyEiWcB7xpgJfRwXDrwCvGGM+UN/zz9r1ixTVFQ06PapoavT7eHGf6zh9U37SYuLoK7FRXp8JM8sOkEXAeuxo7KJrz38CQfaOkmKCaem2cVFM3O46+KpIbHchOqbiKwyxszq8zkfA/9uoNYY8xsRuQ1IMcbc2usYoXt8v84Yc8tAzq+BH9qMMby0rpzl26rJSY7mGyfmkxYXaXezgkrlgXaeWLGbygPtnDYhgwVTs/RGbYjzZ+CnAv8CRgJ7ga8YY+pEJBt41BhzroicDHwAbAA8PS/9iTFm6dHOr4GvlFIDc6TA9+nOlzGmFjijj++XA+f2fP0hoF0OpZSymQ70KaVUiNDAV0qpEKGBr5RSIUIDXymlQoQGvlJKhQgNfKWUChEa+EopFSJ8mnjlbyJSDeyxux1HkAbU2N0Ii+h7CT7D5X2AvpdAGmWM6XMhsqAO/GAnIkWHm9E21Oh7CT7D5X2AvpdgoUM6SikVIjTwlVIqRGjg++ZhuxtgIX0vwWe4vA/Q9xIUdAxfKaVChPbwlVIqRGjgK6VUiNDAt4iI/FBEjIik2d2WwRKRu0Vkq4isF5F/i0iS3W0aCBE5R0S2iUhxzw5sQ5KI5InIuyKyRUQ2icjNdrfJFyLiFJE1IvKK3W3xhYgkichzPT8jW0TkBLvbNFAa+BYQkTzgLLp3/RrK3gImG2OmAtuB221uT7+JiBO4D5gPFAKXiUihva0atC7gB8aYScAc4DtD+L0A3AxssbsRFrgHeN0YMxGYxhB8Txr41vgjcCswpO+AG2PeNMZ09Tz8BMi1sz0DNBsoNsaUGGNcwBJgoc1tGhRjTIUxZnXP1010B0uOva0aHBHJBc4DHrW7Lb4QkQRgLvAYgDHGZYxpsLVRg6CB7yMRuQDYZ4xZZ3dbLHYN8JrdjRiAHKD0kMdlDNGQPJSI5AMzgE9tbspg/YnuzpDnKMcFuzFANfDXnuGpR0Uk1u5GDZRPe9qGChFZBozo46mfAj8Bzg5siwbvSO/FGPOfnmN+SvewwtOBbJuP+to3eUh/4hKROOB54BZjzAG72zNQIrIAqDLGrBKReTY3x1dhwEzgRmPMpyJyD3Ab8HN7mzUwGvj9YIw5s6/vi8gUYDSwTkSgewhktYjMNsbsD2AT++1w78VLRL4BLADOMENrkkYZkHfI41yg3Ka2+ExEwukO+6eNMS/Y3Z5BOgm4QETOBaKABBF5yhjzdZvbNRhlQJkxxvtJ6zm6A39I0YlXFhKR3cAsY0wwr6R3WCJyDvAH4FRjTLXd7RkIEQmj+0bzGcA+YCVwuTFmk60NGwTp7j38Dagzxtxic3Ms0dPD/6ExZoHNTRk0EfkAuNYYs01EfgHEGmN+ZHOzBkR7+OpQfwEigbd6PrF8YoxZbG+T+scY0yUi3wXeAJzA40Mx7HucBFwJbBCRtT3f+4kxZql9TVLAjcDTIhIBlABX29yeAdMevlJKhQit0lFKqRChga+UUiFCA18ppUKEBr5SSoUIDXyllAoRGvhKKRUiNPCVUipE/H8txPItdfX2pgAAAABJRU5ErkJggg==\n",
       "text/plain": [
        "<Figure size 432x288 with 1 Axes>"
       ]
@@ -209,21 +99,27 @@
     }
    ],
    "source": [
-    "d = 1\n",
-    "k = np.linspace(-5,7,1000)\n",
-    "h_ideal = np.sinc(k-d)\n",
+    "n = 4\n",
+    "window_sample= np.arange(np.round(d-(n-1)/2),np.round(d+(n+1)/2))\n",
+    "window = []\n",
+    "for ws in window_sample:  \n",
+    "    idx = (np.abs(k-ws)).argmin()\n",
+    "    window.append(idx)\n",
+    "    \n",
     "plt.plot(k,h_ideal)\n",
+    "plt.plot(window_sample,h_ideal[window],\"*\")\n",
     "plt.show()\n"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 10,
+   "execution_count": 30,
+   "id": "17a5bf03",
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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\n",
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\n",
       "text/plain": [
        "<Figure size 432x288 with 1 Axes>"
       ]
@@ -241,22 +137,21 @@
     "for ws in window_sample:  \n",
     "    idx = (np.abs(k-ws)).argmin()\n",
     "    window.append(idx)\n",
+    "\n",
     "    \n",
+    "fig = plt.figure()\n",
+    "\n",
     "plt.plot(k,h_ideal)\n",
-    "plt.plot(window_sample,h_ideal[window],\"*\")\n",
-    "plt.show()\n"
+    "plt.plot(window_sample,h_ideal[window],\"o\")\n",
+    "plt.xlim(-5,10)\n",
+    "plt.grid(True)\n",
+    "plt.show()"
    ]
   },
   {
    "cell_type": "code",
    "execution_count": null,
-   "metadata": {},
-   "outputs": [],
-   "source": []
-  },
-  {
-   "cell_type": "code",
-   "execution_count": null,
+   "id": "3a82e44c",
    "metadata": {},
    "outputs": [],
    "source": []
@@ -264,7 +159,7 @@
  ],
  "metadata": {
   "kernelspec": {
-   "display_name": "Python 3",
+   "display_name": "Python 3 (ipykernel)",
    "language": "python",
    "name": "python3"
   },
@@ -278,7 +173,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.8.5"
+   "version": "3.9.2"
   }
  },
  "nbformat": 4,
diff --git a/notebooks/FrameSynchronization.ipynb b/notebooks/FrameSynchronization.ipynb
index 9a7719f..a659a7b 100644
--- a/notebooks/FrameSynchronization.ipynb
+++ b/notebooks/FrameSynchronization.ipynb
@@ -24,7 +24,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 14,
+   "execution_count": 2,
    "id": "5bec50ff",
    "metadata": {},
    "outputs": [
@@ -33,13 +33,13 @@
      "output_type": "stream",
      "text": [
       "Header sequence (N=16): [1 1 1 1 0 1 1 1 0 1 1 1 1 1 0 1]\n",
-      "Cross correlation: [ 3.  3.  4.  4.  4.  4.  3.  6.  7.  7.  3.  6.  6.  8.  7.  6.  7. 11.\n",
-      "  8.  7.  7. 10.  8.  8. 10.  8. 10.  7.  8.  8.  8. 10.  8. 11. 12.  9.\n",
-      "  8. 10.  8. 11.  9. 10.  9. 16. 10. 10. 10. 12. 10. 14.  9. 10.  9. 13.\n",
-      " 11.  9. 11.  8.  9. 11.  9.  9.  8.  8.  7.  9. 12.  5.  7.  9.  7. 10.\n",
-      " 12.  6.  6.  9.  8.  6.  8.  5.  5.  8.  7.  5.  5.  4.  3.  4.  3.  3.\n",
-      "  3.  3.]\n",
-      "Corrlation peak value: 16.0\n"
+      "Cross correlation: [ 3.  4.  5.  5.  6.  4.  4.  6.  4.  4.  5.  8.  7. 10.  8.  7.  8. 10.\n",
+      "  7.  8.  8.  9. 14. 11.  9. 10. 12.  9. 13.  9.  9. 11. 13.  9. 12. 11.\n",
+      "  9.  9. 13. 10.  9. 11.  9. 14. 12.  9. 10. 11.  8. 11.  6.  9.  8. 11.\n",
+      "  6.  7.  9.  8.  7.  4.  4.  9.  9.  7.  6.  7.  9. 11.  8.  7. 10. 12.\n",
+      " 10. 11. 11. 10.  9. 10.  9.  7. 10.  7.  9.  6.  7.  6.  5.  4.  5.  2.\n",
+      "  4.  3.]\n",
+      "Correlation peak value: 14.0\n"
      ]
     },
     {
@@ -48,13 +48,13 @@
        "<StemContainer object of 3 artists>"
       ]
      },
-     "execution_count": 14,
+     "execution_count": 2,
      "metadata": {},
      "output_type": "execute_result"
     },
     {
      "data": {
-      "image/png": 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\n",
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\n",
       "text/plain": [
        "<Figure size 1800x360 with 1 Axes>"
       ]
diff --git a/notebooks/Untitled.ipynb b/notebooks/Untitled.ipynb
index 6350dc3..0a1a81c 100644
--- a/notebooks/Untitled.ipynb
+++ b/notebooks/Untitled.ipynb
@@ -167,46 +167,6 @@
    "metadata": {},
    "outputs": [],
    "source": []
-  },
-  {
-   "cell_type": "markdown",
-   "id": "4c190dbf",
-   "metadata": {},
-   "source": [
-    "# Delay as a Convolution System"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 8,
-   "id": "0929e51c",
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "[0, 0, 0, 1]"
-      ]
-     },
-     "execution_count": 8,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "# Create the FIR\n",
-    "D = 3 # Delay value\n",
-    "h = [0]*D+[1]\n",
-    "h"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": null,
-   "id": "1b8438b2",
-   "metadata": {},
-   "outputs": [],
-   "source": []
   }
  ],
  "metadata": {