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Forming a beam (directional gain) and, sometimes, shifting the beam direction.

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Spatial sampling frequency equation

The spatial sampling frequency of a linear array with equidistant sensor (antenna) spacing on the $x$-axis is simply given by $$f_x=\frac{1}{d}\tag{1}$$ where $d$ is the distance between the sensors …
Matt L.'s user avatar
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3 votes

How to derive the "well-known" solution to Unconstrained Array Gain?

You can solve such a problem using the method of Lagrange multipliers. First note that maximizing the expression in your question is equivalent to minimizing the inverse function: $$\min_{\mathbf{w}}\ …
Matt L.'s user avatar
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