Fractional Programming for Communication Systems--Part I: Power Control and Beamforming (1802.10192v2)

Abstract: This two-part paper explores the use of FP in the design and optimization of communication systems. Part I of this paper focuses on FP theory and on solving continuous problems. The main theoretical contribution is a novel quadratic transform technique for tackling the multiple-ratio concave-convex FP problem--in contrast to conventional FP techniques that mostly can only deal with the single-ratio or the max-min-ratio case. Multiple-ratio FP problems are important for the optimization of communication networks, because system-level design often involves multiple signal-to-interference-plus-noise ratio terms. This paper considers the applications of FP to solving continuous problems in communication system design, particularly for power control, beamforming, and energy efficiency maximization. These application cases illustrate that the proposed quadratic transform can greatly facilitate the optimization involving ratios by recasting the original nonconvex problem as a sequence of convex problems. This FP-based problem reformulation gives rise to an efficient iterative optimization algorithm with provable convergence to a stationary point. The paper further demonstrates close connections between the proposed FP approach and other well-known algorithms in the literature, such as the fixed-point iteration and the weighted minimum mean-square-error beamforming. The optimization of discrete problems is discussed in Part II of this paper.

• The paper demonstrates that fractional programming can optimize power control and beamforming strategies to enhance wireless communication performance.
• It utilizes the IEEEtran template to structure the manuscript consistently, ensuring compliance with IEEE formatting and improved readability.
• The framework offers actionable insights for signal processing and paves the way for future updates in digital accessibility and collaborative publishing.

An Overview of the Paper

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Document Class and Structure

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Main Document Content

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Practical Implications

For researchers and authors preparing manuscripts for IEEE publications, utilizing this template ensures compliance with IEEE's formatting standards, thus facilitating a smoother submission and peer review process. This compliance is crucial for the following reasons:

• Readability: The standardized format enhances readability and ensures that the content is easily navigable for reviewers and readers.
• Consistency: Consistent formatting helps in maintaining uniformity across various papers in a journal or conference proceedings, which in turn aids in citation and reference management.

Future Developments

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• Better support for digital accessibility
• Integration with collaborative tools and version control systems
• Enhanced templates for supplementary materials, data sets, and multimedia content

Conclusion

The importance of adhering to a standardized document template such as IEEEtran in IEEE publications cannot be overstated. While the current document is a bare template, it provides the fundamental structure required for producing a well-formatted manuscript conforming to IEEE standards. Future updates and developments in this regard will further streamline the publishing process, ensuring that rigorous academic and technical standards are met consistently.