complex_pwc_signal¶

Graph.complex_pwc_signal(moduli, phases, duration, *, name=None)¶

Creates a complex piecewise-constant signal from moduli and phases.

Use this function to create a complex piecewise-constant signal from moduli and phases defined for each segment, in which the constant segments all have the same duration.

Parameters

moduli (np.ndarray(real) or Tensor(real)) – The moduli \(\{\Omega_n\}\) of the values of \(N\) constant segments. These can represent either the moduli of a single sequence of segment values or of a batch of them. To provide a batch of sequences of segment values of shape \(B_1 \times \ldots \times B_n\), represent these moduli as a tensor of shape \(B_1 \times \ldots \times B_n \times N\).
phases (np.ndarray(real) or Tensor(real)) – The phases \(\{\phi_n\}\) of the complex segment values. Must have the same length as moduli (or same shape, if you’re providing a batch).
duration (float) – The total duration \(\tau\) of the signal.
name (str, optional) – The name of the node.

Returns

The piecewise-constant function of time \(v(t)\), satisfying \(v(t)=\Omega_n e^{i\phi_n}\) for \(t_{n-1}\leq t\leq t_n\), where \(t_n=n\tau/N\) (where \(N\) is the number of values in \(\{\Omega_n\}\) and \(\{\phi_n\}\)). If you provide a batch of moduli and phases, the returned Pwc represents a corresponding batch of \(B_1 \times \ldots \times B_n\) functions \(v(t)\).

Return type

Pwc(complex)