cbadc.analog_signal.impulse_responses.RCImpulseResponse

class cbadc.analog_signal.impulse_responses.RCImpulseResponse(tau: float, t0: float = 0, amplitude=1.0)

Bases: _ImpulseResponse

Methods

__init__(tau[, t0, amplitude])
evaluate(t)	Returns the impulse response of a RC circuit.
symbolic()	Returns as symbolic exression
tick()	Tick the signal, i.e., update the internal state.

evaluate(t: float) → float

Returns the impulse response of a RC circuit.

Specifically, solves

\(\dot{x}(t) = -\frac{1}{\tau} x(t)\)

\(x(0) = 1\)

at time \(t\).

Parameters

• t (float) – Evaluation at time t.

• tau (float) – time constant.

• t0 (float, optional) – starting time

• amplitude (float, optional) – the amplitude of the impulse response

Returns

the impulse response evaluated at t.

Return type

float

symbolic()

Returns as symbolic exression

Returns

the resulting function

Return type

sympy.Symbol

tick()

Tick the signal, i.e., update the internal state.