PulseTrain

The PulseTrain time series represents a sequence of pulses with specified timing and amplitude parameters.

Parameters:

Parameter	Description	Type
tStart	Start time of pulse train (default: 0.0)	float
tEnd	End time of pulse train (default: 1.0)	float
period	Period between pulses (default: 1.0)	float
width	Width of each pulse as a fraction of period (default: 0.5)	float
factor	Amplitude of pulses (default: 1.0)	float
shift	Phase shift of pulse train (default: 0.0)	float

Example

# Direct creation
from femora.components.TimeSeries.timeSeriesBase import TimeSeriesManager

ts_manager = TimeSeriesManager()

# Create a pulse train with 0.2s period and 0.1s pulse width
pulse_ts = ts_manager.create_time_series(
    'PulseTrain',
    tStart=0.0,
    tEnd=1.0,
    period=0.2,
    width=0.5,  # 50% duty cycle
    factor=1.0
)

# Via Femora
import femora as fm


pulse_ts = fm.timeSeries.create_time_series(
    'PulseTrain',
    tStart=0.0,
    tEnd=5.0,
    period=1.0,
    width=0.3,  # 30% duty cycle
    factor=2.0,
    shift=0.5  # Phase shift of 0.5 seconds
)

Mathematical Representation

The pulse train time series generates rectangular pulses defined by:

f(t) = factor for t_n ≤ t ≤ t_n + width × period f(t) = 0 otherwise

where t_n = tStart + n × period + shift, for n = 0, 1, 2, … until tEnd