Triangular Pulse

Define a triangular time pulse.



Figure 1. Define a triangular time pulse.
Time axis unit
Specify the unit to be used for the time axis.
Total signal duration ( s d )
The total length of the signal in the specified units.
Amplitude ( u 0 )
The amplitude of the time signal.
Pulse delay ( t 0 )
The pulse delay is the time until the peak of the time signal envelope.
Pulse width ( p w )
This is the half-amplitude pulse width of the signal. The pulse width is the total length of time that the signal is above 50% of its peak value ( u 0 ).
Rise time ( τ 1 )
The time required for the pulse to reach its peak value ( u 0 ) from rest.
Fall time ( τ 2 )
The time required for the pulse to reach the rest value from its peak ( u 0 ).
Note: The discharge time will be determined by the pulse width ( p w ).
Number of samples
The number of samples taken from the signal’s analytical equation.
(1) u ( t ) = { u 0 ( 1 | t t 0 | p w ) for  | t t 0 | p w 0 for  otherwise

The Fourier transform is as follows:

(2) U ( f ) = 2 u 0 p w s i n c 2 ( 2 f p w ) e j 2 π f t 0