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Fix sign error in derivative output #68

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Fix sign error in derivative output #68

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2 changes: 1 addition & 1 deletion derivatives.qmd
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Expand Up @@ -161,7 +161,7 @@ $$
Then, the output of the derivative operator is:

$$
\mathbf{r}=\mathbf{D_0} \boldsymbol\ell=\left[0, -1, 0, 2\right]
\mathbf{r}=\mathbf{D_0} \boldsymbol\ell=\left[0, 1, 0, -2\right]
$$
Note that this vector has one sample less than the input. To recover the input $\boldsymbol\ell$ we cannot invert $\mathbf{D_0}$ as it is not a square matrix, but we can compute the pseudoinverse, which turns out to be:

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