|
|
@@ -134,7 +134,10 @@
|
|
|
},
|
|
|
{
|
|
|
"cell_type": "markdown",
|
|
|
- "metadata": {},
|
|
|
+ "metadata": {
|
|
|
+ "jp-MarkdownHeadingCollapsed": true,
|
|
|
+ "tags": []
|
|
|
+ },
|
|
|
"source": [
|
|
|
"## Correction: No limits approach\n",
|
|
|
"\n",
|
|
|
@@ -226,7 +229,7 @@
|
|
|
" \n",
|
|
|
" * if the dimensionality of x is greater than one, then $\\mathbf{x}^{\\top} \\left( \\mathbf{y}_{b} \\mathbf{y}_{b}^{\\top} \\right) \\mathbf{x} = \\left( \\mathbf{x}^{\\top} \\mathbf{y}_{b} \\right) \\left( \\mathbf{y}_{b}^{\\top} \\mathbf{x} \\right) \\ge 0$, consequently, regarding to positive definiteness of S b , we can not guarante the existense of the filter;\n",
|
|
|
" \n",
|
|
|
- " * if the dimensionality of x is one (when we implement sequential filter), then $\\mathbf{x}^{\\top} \\left( \\mathbf{y}_{b} \\mathbf{y}_{b}^{\\top} \\right) \\mathbf{x} = {y}_{b}^{2} {x}^(2) \\gt 0$ ,\n",
|
|
|
+ " * if the dimensionality of x is one (when we implement sequential filter), then $\\mathbf{x}^{\\top} \\left( \\mathbf{y}_{b} \\mathbf{y}_{b}^{\\top} \\right) \\mathbf{x} = {y}_{b}^{2} {x}^{2} \\gt 0$ ,\n",
|
|
|
" \n",
|
|
|
" * in such case the equation [(28)](#28) reduces to ${a}_{b} = \\cfrac{{y}_{b}^{2}}{{\\beta}_{n}} - {s}_{b}$\n",
|
|
|
" \n",
|
|
|
@@ -339,7 +342,7 @@
|
|
|
"name": "python",
|
|
|
"nbconvert_exporter": "python",
|
|
|
"pygments_lexer": "ipython3",
|
|
|
- "version": "3.6.12"
|
|
|
+ "version": "3.6.13"
|
|
|
}
|
|
|
},
|
|
|
"nbformat": 4,
|
shkolnick-kun