Investigating the Capacity of Peak-Limited and Band-Limited Channels
Author Information
Author(s): Peleg Michael, Shamai Shlomo
Primary Institution: Technion—Israel Institute of Technology
Hypothesis
What is the capacity of peak-power limited Additive White Gaussian Noise channels with band-limited signals?
Conclusion
The study found that new lower bounds on capacity are significantly higher than previously known, with a reduction in the gap to upper bounds.
Supporting Evidence
- The new lower bounds on capacity are about 3.3 and 8.6 times higher than previously known in the low-pass and bandpass cases, respectively.
- The gap to the upper bounds is narrowed to less than 2 dB.
- The penalty in power efficiency due to the peak power constraint is roughly 6 dB at high SNRs.
Takeaway
This study looks at how much information can be sent over a communication channel when the power is limited, finding new ways to send more information than before.
Methodology
The study used a geometry-based approach to evaluate the maximal entropy of transmitted signals and derived lower bounds on capacity.
Limitations
The results are conjectural and rely on approximations, and further research is needed to refine the findings.
Digital Object Identifier (DOI)
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