cupyx.scipy.signal.max_len_seq#

cupyx.scipy.signal.max_len_seq(nbits, state=None, length=None, taps=None)[source]#

Maximum length sequence (MLS) generator.

Parameters:

  • nbits (int) – Number of bits to use. Length of the resulting sequence will be (2**nbits) - 1. Note that generating long sequences (e.g., greater than nbits == 16) can take a long time.

  • state (array_like, optional) – If array, must be of length nbits, and will be cast to binary (bool) representation. If None, a seed of ones will be used, producing a repeatable representation. If state is all zeros, an error is raised as this is invalid. Default: None.

  • length (int, optional) – Number of samples to compute. If None, the entire length (2**nbits) - 1 is computed.

  • taps (array_like, optional) – Polynomial taps to use (e.g., [7, 6, 1] for an 8-bit sequence). If None, taps will be automatically selected (for up to nbits == 32).

Returns:

  • seq (array) – Resulting MLS sequence of 0’s and 1’s.

  • state (array) – The final state of the shift register.

Notes

The algorithm for MLS generation is generically described in:

The default values for taps are specifically taken from the first option listed for each value of nbits in: