Trig

The Trig time series represents a trigonometric function (sine or cosine) with specified period, phase shift, and amplitude.

Parameters:

Parameter	Description	Type
trig_type	Type of function (‘Sine’ or ‘Cosine’)	string
period	Period of the function (required)	float
phase_shift	Phase shift in radians (default: 0.0)	float
factor	Amplitude of the function (default: 1.0)	float

Example

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

ts_manager = TimeSeriesManager()

# Create a sine wave with period 0.5s and amplitude 2.0
sine_ts = ts_manager.create_time_series(
    'Trig',
    trig_type='Sine',
    period=0.5,
    phase_shift=0.0,
    factor=2.0
)

# Create a cosine wave with period 1.0s, phase shift π/4, and amplitude 0.5
cosine_ts = ts_manager.create_time_series(
    'Trig',
    trig_type='Cosine',
    period=1.0,
    phase_shift=0.7853981634,  # π/4
    factor=0.5
)

# Via Femora
import femora as fm
import math


trig_ts = fm.timeSeries.create_time_series(
    'Trig',
    trig_type='Sine',
    period=0.5,
    phase_shift=math.pi/6,  # 30 degrees
    factor=1.5
)

Mathematical Representation

The trigonometric time series are defined by the following formulas:

Sine Function:

f(t) = factor × sin(2π × t/period + phase_shift)

Cosine Function:

f(t) = factor × cos(2π × t/period + phase_shift)

where t is the time.