Blog

Here I document my learning notes, comments, news, et cetera.

New beamforming papers published!

It’s a pleasure to share that our papers Low-complexity separable beamformers for massive antenna array systems and Separable linearly constrained minimum variance beamformers have been accepted to be published!

These papers are fruits of my Ph.D. research where we propose low computational complexity beamforming methods for large-scale antenna arrays. Such methods may be of interest for new generation mobile communication systems (5G, for example), radio-telescope array systems, etc.

So far, the performance of the proposed methods was analyzed considering rather idealistic assumptions, such as perfect array separability and absence of antenna coupling. In upcoming work, we intend to assess the proposed methods under more realistic scenarios with the aid of electromagnetic field simulator software.

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Supremum and infimum

Sometimes when reading math books, like Convex Optimization, I stumble upon the infimum ($\inf$) and supremum ($\sup$) operators. For example, let $L(x,\lambda,\nu)$ denote the Lagrangian associated with an optimization problem. The Lagrange dual function is defined as

$$ g(\lambda,\nu) = \inf_{x \in \mathcal{D}} L(x,\lambda,\nu), $$

where $\mathcal{D}$ stands for the domain of $x$. But what exactly is the infimum? And the supremum? What are their relation to the minimum ($\min$) and the maximum ($\max$) operators?

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Hello World

We all know that in order to get better at something, one needs practice. That’s why I am creating this blog, I would like to improve the ability to express ideas and thoughts by writing. Also, sharing ideas online sounds exciting!

For now, I would like to present and discuss the results of some side projects. In the future, I hope to write about other topics (not necessarily technical).

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