# cupyx.scipy.signal.lti#

class cupyx.scipy.signal.lti(*system)[source]#

Continuous-time linear time invariant system base class.

Parameters:

*system (arguments) –

The lti class can be instantiated with either 2, 3 or 4 arguments. The following gives the number of arguments and the corresponding continuous-time subclass that is created:

• 2: TransferFunction: (numerator, denominator)

• 3: ZerosPolesGain: (zeros, poles, gain)

• 4: StateSpace: (A, B, C, D)

Each argument can be an array or a sequence.

Notes

lti instances do not exist directly. Instead, lti creates an instance of one of its subclasses: StateSpace, TransferFunction or ZerosPolesGain.

If (numerator, denominator) is passed in for `*system`, coefficients for both the numerator and denominator should be specified in descending exponent order (e.g., `s^2 + 3s + 5` would be represented as ```[1, 3, 5]```).

Changing the value of properties that are not directly part of the current system representation (such as the zeros of a StateSpace system) is very inefficient and may lead to numerical inaccuracies. It is better to convert to the specific system representation first. For example, call `sys = sys.to_zpk()` before accessing/changing the zeros, poles or gain.

Methods

bode(w=None, n=100)[source]#

Calculate Bode magnitude and phase data of a continuous-time system.

Returns a 3-tuple containing arrays of frequencies [rad/s], magnitude [dB] and phase [deg]. See bode for details.

freqresp(w=None, n=10000)[source]#

Calculate the frequency response of a continuous-time system.

Returns a 2-tuple containing arrays of frequencies [rad/s] and complex magnitude. See freqresp for details.

impulse(X0=None, T=None, N=None)[source]#

Return the impulse response of a continuous-time system. See impulse for details.

output(U, T, X0=None)[source]#

Return the response of a continuous-time system to input U. See lsim for details.

step(X0=None, T=None, N=None)[source]#

Return the step response of a continuous-time system. See step for details.

to_discrete(dt, method='zoh', alpha=None)[source]#

Return a discretized version of the current system.

Parameters: See cont2discrete for details.

Returns:

sys

Return type:

instance of dlti

__eq__(value, /)#

Return self==value.

__ne__(value, /)#

Return self!=value.

__lt__(value, /)#

Return self<value.

__le__(value, /)#

Return self<=value.

__gt__(value, /)#

Return self>value.

__ge__(value, /)#

Return self>=value.

Attributes

dt#

Return the sampling time of the system, None for lti systems.

poles#

Poles of the system.

zeros#

Zeros of the system.