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recursive_filters/quantization_of_coefficients.ipynb

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@@ -63,7 +63,9 @@
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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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"metadata": {
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"collapsed": false
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},
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"outputs": [
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"data": {
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"source": [
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"**Exercise**\n",
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"\n",
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"* What consequences has the distribution of pole locations on the desired characteristics of a filter for e.g. low/high frequencies?\n",
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"* What consequences does the distribution of pole locations on the desired characteristics of a filter have for e.g. low/high frequencies?\n",
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"\n",
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"Solution: Quantization of the original filter coefficients leads to a limited number of possible pole and zero locations. These locations are not uniformly distributed over the $z$-plane, as can be observed from above illustrations. The density of potential locations is especially low for low frequencies and close to the Nyquist frequency. The properties of a designed filter having poles and/or zeros at low/high frequencies will potentially deviate more when quantizing its coefficients, as a consequence."
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]
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{
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"cell_type": "code",
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"execution_count": 3,
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"metadata": {},
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"metadata": {
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"collapsed": false
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},
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"outputs": [
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{
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"data": {
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{
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"cell_type": "code",
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"execution_count": 8,
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"metadata": {},
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"metadata": {
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"collapsed": false
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},
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"outputs": [
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{
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"data": {
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],
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"metadata": {
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"kernelspec": {
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"display_name": "Python 3",
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"display_name": "Python [default]",
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"language": "python",
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"name": "python3"
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},

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