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

Continuous-time linear time invariant system base class.


*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.


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.


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.



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.



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


Poles of the system.


Zeros of the system.