scipy.signal.

cheb1ap

scipy.signal.cheb1ap(N, rp, *, xp=None, device=None)

Return (z,p,k) for Nth-order Chebyshev type I analog lowpass filter.

The returned filter prototype has rp decibels of ripple in the passband.

The filter’s angular (e.g. rad/s) cutoff frequency is normalized to 1, defined as the point at which the gain first drops below -rp.

Parameters:

Nint

The order of the filter

rp: float

The ripple intensity

xparray_namespace, optional

Optional array namespace. Should be compatible with the array API standard, or supported by array-api-compat. Default: numpy

device: any

optional device specification for output. Should match one of the supported device specification in xp.

Returns:

zndarray[float64]

Zeros of the transfer function. Is always an empty array.

pndarray[complex128]

Poles of the transfer function.

kfloat

Gain of the transfer function.

See also

cheby1

Filter design function using this prototype

Notes

Array API Standard Support

cheb1ap has experimental support for Python Array API Standard compatible backends in addition to NumPy. Please consider testing these features by setting an environment variable SCIPY_ARRAY_API=1 and providing CuPy, PyTorch, JAX, or Dask arrays as array arguments. The following combinations of backend and device (or other capability) are supported.

Library	CPU	GPU
NumPy	✅	n/a
CuPy	n/a	✅
PyTorch	✅	✅
JAX	✅	✅
Dask	✅	n/a

See Support for the array API standard for more information.