diff --git a/book/signal/fourier_nb.ipynb b/book/signal/fourier_nb.ipynb
index 910a55f..f6d25b7 100644
--- a/book/signal/fourier_nb.ipynb
+++ b/book/signal/fourier_nb.ipynb
@@ -41,7 +41,7 @@
},
{
"cell_type": "code",
- "execution_count": 1,
+ "execution_count": 9,
"id": "0ca902e6",
"metadata": {},
"outputs": [],
@@ -50,6 +50,20 @@
"from matplotlib import pyplot as plt"
]
},
+ {
+ "cell_type": "code",
+ "execution_count": 10,
+ "id": "6515fdcc",
+ "metadata": {
+ "tags": [
+ "thebe-remove-input-init"
+ ]
+ },
+ "outputs": [],
+ "source": [
+ "%config InlineBackend.figure_formats = ['svg']"
+ ]
+ },
{
"cell_type": "markdown",
"id": "cf95e1c8",
@@ -60,13 +74,903 @@
},
{
"cell_type": "code",
- "execution_count": 2,
+ "execution_count": 11,
"id": "558618b2",
"metadata": {},
"outputs": [
{
"data": {
- "image/png": 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",
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