Impulse Generator Theoretically, an impulse has an amplitude spectrum that is constant at all frequencies. In practice, a constant spectrum across an infinite bandwidth cannot be achieved, nor is it really necessary. What is required is an amplitude spectrum that is ‘‘essentially’ ’ constant over the frequency range of interest. Under this concept, an impulse generator is a signal source that produces a pulse waveform whose amplitude spectrum does not vary more than a prescribed amount over a specified frequency range.

Consider a rectangular pulse:

f ðtÞ ¼ A½uðt þ T=2Þ  uðt  T=2Þ

Find F(v) and sketch its amplitude spectrum jF(v)j. Select the pulse duration T such that the amplitude spectrum does not change by more than 10% over a frequency range from 1MHz to 10 MHz.