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Merge pull request #55 from vksvinicius/patch-2
Update linear_image_filtering.qmd
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linear_image_filtering.qmd

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@@ -152,7 +152,7 @@ $$E = \sum_{n = -\infty}^{\infty} \left| \ell\left[n\right] \right| ^2$$
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:::{.column-margin}
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Siganl energy and general energy are equivalent up to a normalization constant. For instance, the energy dissipated by a resistance $R$ with voltage $v(t)$ is
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Signal energy and general energy are equivalent up to a normalization constant. For instance, the energy dissipated by a resistance $R$ with voltage $v(t)$ is
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\begin{equation}
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E = \frac{1}{R} \int_{-\infty}^{\infty} v(t) ^2 dt
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\end{equation}
@@ -203,7 +203,7 @@ analytical characterization: linear systems.
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**Linear systems** represent a very small portion of all the possible
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systems one could implement, but we will see that they are capable of
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creating very interesting image transformations. A function $f$ is
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linear is it satisfies the following two properties:
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linear if it satisfies the following two properties:
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$$\begin{aligned}
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f\left( \boldsymbol\ell_1+\boldsymbol\ell_2 \right) &=& f(\boldsymbol\ell_1)+ f(\boldsymbol\ell_2) \\ \nonumber

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