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MINIMUM SAMPLING RATE REQUIRED FOR NON OVERLAPPING ALIASING OF A 1 MHZ BANDWIDTH SIGNAL Figure 5.5 In the first case, the signal occupies a band from dc to 1MHz, and therefore must be sampled at greater than 2MSPS. The second case shows a 1MHz signal which occupies the band from 0.5 to 1.5MHz. Notice that this signal must be sampled at a minimum of 3MSPS in order to avoid overlapping aliased components. In the third case, the signal occupies the band from 1 to 2MHz, and the minimum required sampling rate for no overlapping aliased components drops back to 2MSPS. The last case shows a signal which occupies the band from 1.5 to 2.5MHz. This signal must be sampled at a minimum of 2. 5MsPS to avoid overlapping aliased components This analysis can be generalized as shown in Figure 5.6. The actual minimum required sampling rate is a function of the ratio of the highest frequency component fMAX, to the total signal bandwidth, B Notice for large ratios of fmAX to the bandwidth, B, the minimum required sampling frequency approaches 2B6 MINIMUM SAMPLING RATE REQUIRED FOR NON￾OVERLAPPING ALIASING OF A 1MHz BANDWIDTH SIGNAL Figure 5.5 In the first case, the signal occupies a band from dc to 1MHz, and therefore must be sampled at greater than 2MSPS. The second case shows a 1MHz signal which occupies the band from 0.5 to 1.5MHz. Notice that this signal must be sampled at a minimum of 3MSPS in order to avoid overlapping aliased components. In the third case, the signal occupies the band from 1 to 2MHz, and the minimum required sampling rate for no overlapping aliased components drops back to 2MSPS. The last case shows a signal which occupies the band from 1.5 to 2.5MHz. This signal must be sampled at a minimum of 2.5MSPS to avoid overlapping aliased components. This analysis can be generalized as shown in Figure 5.6. The actual minimum required sampling rate is a function of the ratio of the highest frequency component, fMAX, to the total signal bandwidth, B. Notice for large ratios of fMAX to the bandwidth, B, the minimum required sampling frequency approaches 2B
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