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The narrower the pulse, the wider the frequency band.
Generally speaking, in a certain period of time, the narrower the pulse, the shorter the duration, and the more pulses with different durations can be accommodated, so the wider the frequency band. Strictly speaking, the time domain signal is transformed into the frequency domain signal according to the Fourier transform. It is helpful to understand this problem to look up the knowledge of relevant Fourier transform functions.