autodiff.controls.gaussian_basis

autodiff.controls.gaussian_basis(t, n, lo=None, hi=None, width=None)

Gaussian bumps on a regular grid of centres, evaluated at the times t.

Parameters

Name	Type	Description	Default
t	ArrayLike	sample times, shape `(n_t,)`.	required
n	int	number of basis functions (at least 2).	required
lo	float \| None	first centre; default the first time.	`None`
hi	float \| None	last centre; default the last time. Use a `hi` below the last time to confine a control to an earlier window.	`None`
width	float \| None	standard deviation of each bump; default the centre spacing, which makes neighbouring bumps overlap enough to be smooth.	`None`

Name	Type	Description
	np.ndarray	`B`, shape `(n_t, n)`, so that a control is `B @ coefficients`.