Analytic Waveforms

The various predetermined analytic waveforms are defined below and summarized in Table 5.6.4.1.

The Gaussian source waveform is mathematically defined by the equation below.

The derivative of a Gaussian source waveform is mathematically defined by the equation below.

The Gaussian source waveform is mathematically defined by the equation below.

The specification of this waveform requires the provision of A

The double exponential source waveform is mathematically defined by the equation below.

Note: The amplitude ‘A’ is not really an amplitude in the traditional sense. Assigning the ‘A’ variable a value of ‘1.0’ will not yield a double exponential waveform with an amplitude of 1.0 but a waveform with an amplitude somewhat less than 1.0.

The specification of this waveform requires the provision of A, a, and b.

The derivative of a double exponential source waveform is mathematically defined by the equation below.

The specification of this waveform requires the provision of A, a, and b.

The sine squared leading double exponential source waveform is mathematically defined by the quation below.

The sine wave source waveform is mathematically defined by the equation below.

The sine squared source waveform is mathematically defined by the equation below. The sine squared waveform is nonzero for the first one half period only.

The damped sinusoid source waveform is mathematically defined by the equation below.

The triangle wave that pictorially defined below.

The linear ramp source waveform is mathematically defined by the equation below.

The sine squared ramp source waveform is mathematically defined by the equation below.

The Lightning Current Component A source waveform is mathematically defined by the equation below.

The Lightning Current Component D source waveform is mathematically defined by the equation below.

The Lightning Current Component H source waveform is mathematically defined by the equation below.