Eignere Block FIR Filer

1 files changed, 53 insertions, 13 deletions

diff --git a/notebooks/FIR_mehrere.ipynb b/notebooks/FIR_mehrere.ipynb
index 0bf0e1b..1be4234 100644
--- a/notebooks/FIR_mehrere.ipynb
+++ b/notebooks/FIR_mehrere.ipynb
@@ -17,7 +17,7 @@
    "source": [
     "import numpy as np \n",
     "from numpy.fft import fft,ifft,fftshift\n",
-    "import matplotlib.pyplot as plt"
+    "import matplotlib.pyplot as plt\n"
    ]
   },
   {
@@ -93,7 +93,7 @@
      "name": "stderr",
      "output_type": "stream",
      "text": [
-      "/tmp/ipykernel_5041/4026507591.py:1: VisibleDeprecationWarning: Creating an ndarray from ragged nested sequences (which is a list-or-tuple of lists-or-tuples-or ndarrays with different lengths or shapes) is deprecated. If you meant to do this, you must specify 'dtype=object' when creating the ndarray\n",
+      "/tmp/ipykernel_2862/4026507591.py:1: VisibleDeprecationWarning: Creating an ndarray from ragged nested sequences (which is a list-or-tuple of lists-or-tuples-or ndarrays with different lengths or shapes) is deprecated. If you meant to do this, you must specify 'dtype=object' when creating the ndarray\n",
       "  np.array(x)\n"
      ]
     },
@@ -191,36 +191,76 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 11,
-   "id": "de264619",
+   "execution_count": 12,
+   "id": "efc93b69",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "delay = 3.4\n",
+    "amplitude = .2\n",
+    "\n",
+    "d_int = int(np.floor(delay))\n",
+    "d_frac = delay - d_int\n",
+    "\n",
+    "h = np.concatenate([np.zeros(d_int-1), [amplitude], np.zeros(3)])"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 10,
+   "id": "43372541",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "H_int = fft(h_int)\n",
+    "#H = H_int * np.exp(-1j*d_frac)\n",
+    "h = ifft(H_int)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 13,
+   "id": "a32cb580",
    "metadata": {},
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "0.25"
+       "<StemContainer object of 3 artists>"
       ]
      },
-     "execution_count": 11,
+     "execution_count": 13,
      "metadata": {},
      "output_type": "execute_result"
+    },
+    {
+     "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": [
-    "sample_rate= 32e3\n",
-    "nsample= 4 \n",
-    "t = 1 /  nsample "
+    "test = np.random.randint(0, 10, size = 20)\n",
+    "y = np.convolve(test, h)\n",
+    "\n",
+    "plt.stem(test, linefmt=\"C0-\")\n",
+    "plt.stem(y, linefmt='C1-')"
    ]
   },
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "efc93b69",
+   "id": "e7b9d068",
    "metadata": {},
    "outputs": [],
-   "source": [
-    "f_tabs = np.exp((-2j*np.pi*t))"
-   ]
+   "source": []
   }
  ],
  "metadata": {