Sound field control techniques aim at recreating a target sound field within a defined listening region. While this objective can generally be expressed as an optimization problem, the objective function, error norms, and additional constraints used vary widely between the different methods. In this paper, we focus on methods that describe a target sound field centered around a single point of the listening region, which includes mode matching, (higher order) Ambisonics, but also amplitude panning techniques. By expressing these methods in a common convex optimization framework, we highlight commonalities and differences between the approaches, but also the effects of additional constraints such as energy vector maximization, gain nonnegativity, and sparsity constraints. These theoretical comparisons are complemented by numerical examples.
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