EXERCISE $3$

Write a script that represents the shape of the red curve in the figure using $20000$ points and

assuming:

$-$ A random duration between $3\mathrm{.}76$ and $8\mathrm{.}79$ seconds.

$-$ Signal troughs and peaks can shift $\backslash$pm $20\%$ on the Y$-$axis

$-$ Signal troughs and peaks can shift $\backslash$pm $5\%$ on the X$-$axis

$$ NOTE: Here we do use $\backslash$pm $5\%$ as an absolute value

$-$ A white noise component with amplitude:

$$ For the first quarter of the section, $\backslash$pm $10\%$ of the range of that section

For the first quarter of the section, $\backslash$pm $10\%$ of the range of that section

$$ For the second quarter of the leg, $+5\%$ of the range of that leg

$$ For the third quarter of the section, $-6\%$ of the range of that section

$$ For the last leg, $\backslash$pm $10\%$ of the signal range

$*$NOTE: $($range is maximum value minus minimum value$).$