Finding the Minimum Sampling Frequency of Multi-band Signals: An Efficient Iterative Algorithm

Yuan-Pei Lin, Yi-De Liu, See-May Phoong

Outline• Problem Formulation

• Previous Works

• A New Set of Conditions for Alias-Free Sampling

• The Proposed Iterative Algorithm

• Simulations and Comparisons

• Conclusion

Problem Formulation

Previous Works:One-bandpass (2 bands) Case

Previous Works

The Proposed Algorithm

A New Set of Alias-Free Sampling Conditions

Lemma 1

Lemma 1 – proof (1)

Lemma 1 – proof (2)

Lemma 1 – proof (3)

Alias-Free Conditions

Lemma 2

Lemma 2 – proof (1)

Lemma 2 – proof (2)

Meeting the Alias-Free Sampling Conditions

Proposed Iterative Algorithm

Simulation and Comparison

Simulation and Comparison

Conclusions