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Analyzing Properly Sampled and Under-Sampled Sinusoids in ADC and DAC Systems

This document explores the concepts of properly sampled and under-sampled sinusoids as inputs to an ADC within a DAC system. It analyzes the frequency relationships in both scenarios, detailing the sampled frequencies such as Fs/2, Fs, and 2Fs. The output characteristics of the DAC in response to these inputs are also discussed. Understanding the implications of sampling rates and their effect on signal fidelity is critical for designing effective ADC and DAC systems.

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Analyzing Properly Sampled and Under-Sampled Sinusoids in ADC and DAC Systems

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  1. X( f ) f f f Fs/2 Fs Properly Sampled Sinusoid At Input to ADC Inside DAC -2Fs -Fs -Fs/2 Fs/2 Fs 2Fs Output of DAC Fs/2

  2. X( f ) f f f Under-Sampled Sinusoid At Input to ADC Fs/2 Fs Inside DAC -2Fs -Fs -Fs/2 Fs/2 Fs 2Fs Output of DAC Fs/2

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