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Imagine a radar so huge it could cover an entire city. To “see” objects, it must analyze millions of signals in real time, but traditional calculations demand massive power, almost impossible to handle. Scientists solved this by borrowing a LEGO‑like idea: split the antenna into small “tiles” that work together. Each tile performs a 2‑D spatial Fourier transform, turning data into a representation called “beamspace”. Then it applies a “window” that keeps only the most important signal parts, drastically cutting the amount of information to process. The outputs of all tiles are merged and sent to a single MVDR (Minimum Variance Distortionless Response) filter, which combines the data to produce a full‑aperture view, as if the whole antenna were still unified. The trick is that, thanks to this architecture, the radar retains the same ability to detect targets and suppress interference, but with far lower computational cost, less memory, and fewer training samples. Experiments show that by wisely choosing tile size and window width, the system can scale without losing performance. In practice, it’s like building a super‑radar with digital building blocks, making it faster, lighter, and easier to manage.

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The proposed framework relies on a spatial decomposition of the received signal via a two‑dimensional discrete Fourier transform (DFT) applied to each antenna sub‑array (tile). This operation maps the antenna domain into the direction‑of‑arrival (DoA) domain, concentrating signal energy in beamspace regions corresponding to dominant sources. A subsequent beamspace window, typically Hamming or Kaiser, reduces spectral leakage and selects the most energetic components, shrinking the observation vector dimension from N (total elements) to M (selected bins). Reduced vectors from all tiles are concatenated, forming a global vector of size K·M, where K is the number of tiles. This vector is processed by an MVDR filter, which requires estimating the covariance matrix Ĉ = (1/L) Σ_{l=1}^{L} x_l x_l^H with L training samples. Since Ĉ’s dimension is reduced, its inversion (needed for weight w = Ĉ^{-1} a / (a^H Ĉ^{-1} a), with a the steering vector) is computationally lighter, dropping from O(N^3) to O((K·M)^3). Moreover, lower dimensionality reduces the required number of samples L for reliable covariance estimation, mitigating the curse of dimensionality. The authors examined the trade‑off between tile size (affecting spatial resolution) and window width (affecting leakage and robustness), showing that an optimal choice can keep the SINR (Signal‑to‑Interference‑plus‑Noise Ratio) close to that of full‑array MVDR, while saving an order of magnitude in FLOP operations and memory consumption. This approach is especially suitable for wideband radar systems, where increased bandwidth expands temporal dimensionality, making complexity reduction even more critical.

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Original Article arxiv.org
Fact-check verified on 25/03/2026 Primary Study / Original Source
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Creative Commons License CC BY-NC-SA 4.0

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