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We consider spatially-constrained apertures of rectangular symmetry and aimto retrieve the limit to the average number of spatial degrees of freedom(DoF), obtained elsewhere through different analyses and tools. Unlike priorworks, we use the Fourier plane-wave series expansion, recently introduced in[1], where a statistical model for the small-scale fading in the far-field isdeveloped on the basis of a continuous-space and physics-based orthonormalexpansion over the Cartesian spatial Fourier basis. This expansion yields a setof statistically independent random coefficients whose cardinality directlygives the limit to the average number of DoF. The treatment is limited to anisotropic scattering environment but can be extended to the non-isotropic casethrough the linear-system theoretic interpretation of plane-wave propagations.

Degrees of Freedom of Holographic MIMO Channels