In natural sampling, an analog signal is gated in such a way that the resulting signal consists of pulses with time-varying amplitudes that follow the contours of the original waveform as shown in Figure 6.1. In this example, the original signal is a sinusoid with a period of T_{x}, and the sampled signal has a sampling interval of T, and a sample width of τ. Natural sampling is mathematically equivalent to multiplying the original signal with a train of unit-amplitude rectangular sampling pulses. Therefore, the spectrum of a naturally sampled signal can be determined by convolving the original signal’s spectrum with the spectrum of the train of sampling pulses.

**Figure 6.1. In natural samping, the amplitudes of the sample ...**

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