trajectory()

Generates the trajectory diagram from I and Q data, which are usually produced by a Circuit Envelope simulation

Syntax
Traj = trajectory(i_data, q_data)

Arguments
Name Description Range Type Required
i_data in-phase component of data versus time of a single complex voltage spectral component (for example, the fundamental) † (-∞, ∞) complex yes
q_data quadrature-phase component of data versus time of a single complex voltage spectral component (for example, the fundamental) † (-∞, ∞) complex yes
† This could be a baseband signal instead, but in either case it must be real valued versus time

Examples

Rotation = -0.21
Vfund=vOut[1] *exp(j * Rotation)
Vimag = imag(Vfund)
Vreal = real(Vfund)
Traj = trajectory(Vreal, Vimag)
where Rotation is a user-selectable parameter that rotates the trajectory diagram by that many radians and vOut is the named connection at a node.

Note
vOut is a named connection on the schematic. Assuming that a Circuit Envelope simulation was run, vOut is output to the dataset as a two-dimensional matrix. The first dimension is time, and there is a value for each time point in the simulation. The second dimension is frequency, and there is a value for each fundamental frequency, each harmonic, and each mixing term in the analysis, as well as the baseband term.

vOut[1] is the equivalent of vOut[::, 1], and specifies all time points at the lowest non-baseband frequency (the fundamental analysis frequency, unless a multitone analysis has been run and there are mixing products). For former MDS users, the notation "vOut[*, 2]" in MDS corresponds to the notation of "vOut[1]".

Defined in

$HPEESOF_DIR/expressions/ael/digital_wireless_fun.ael

See Also

constellation(), const_evm()

Notes/Equations

Used in Trajectory diagram generation.
The I and Q data do not need to be baseband waveforms. For example, they could be the in-phase (real or I) and quadrature-phase (imaginary or Q) part of a modulated carrier. The user must supply the I and Q waveforms versus time.

 

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