Summary

This paper explains how to compute the translated digital frequencies of individual spectral components that result from bandpass sampling an analog signal or downsampling a digital bandpass signal. It provides closed-form equations and worked examples so practitioners can predict aliasing, frequency folding, and spectral inversion precisely rather than relying on qualitative plots.

Key Takeaways

• Compute the translated digital frequency of an analog spectral component after bandpass sampling using closed-form equations.
• Predict aliasing, folding, and spectral inversion outcomes when downsampling bandpass signals.
• Apply mapping formulas to choose sampling and decimation rates that avoid unwanted spectral overlap.
• Use worked examples to map continuous-time frequencies to discrete-time bins for analysis and implementation.

Who Should Read This

Intermediate-to-advanced engineers and researchers in communications, radar, or DSP algorithm development who need exact formulas to predict how spectral components translate under bandpass sampling and digital downsampling.

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