{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,7]],"date-time":"2026-02-07T04:06:55Z","timestamp":1770437215952,"version":"3.49.0"},"reference-count":38,"publisher":"MDPI AG","issue":"5","license":[{"start":{"date-parts":[[2011,4,27]],"date-time":"2011-04-27T00:00:00Z","timestamp":1303862400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>We consider a problem of high-resolution array radar\/SAR imaging formalized in terms of a nonlinear ill-posed inverse problem of nonparametric estimation of the power spatial spectrum pattern (SSP) of the random wavefield scattered from a remotely sensed scene observed through a kernel signal formation operator and contaminated with random Gaussian noise. First, the Sobolev-type solution space is constructed to specify the class of consistent kernel SSP estimators with the reproducing kernel structures adapted to the metrics in such the solution space. Next, the \u201cmodel-free\u201d variational analysis (VA)-based image enhancement approach and the \u201cmodel-based\u201d descriptive experiment design (DEED) regularization paradigm are unified into a new dynamic experiment design (DYED) regularization framework. Application of the proposed DYED framework to the adaptive array radar\/SAR imaging problem leads to a class of two-level (DEED-VA) regularized SSP reconstruction techniques that aggregate the kernel adaptive anisotropic windowing with the projections onto convex sets to enforce the consistency and robustness of the overall iterative SSP estimators. We also show how the proposed DYED regularization method may be considered as a generalization of the MVDR, APES and other high-resolution nonparametric adaptive radar sensing techniques. A family of the DYED-related algorithms is constructed and their effectiveness is finally illustrated via numerical simulations.<\/jats:p>","DOI":"10.3390\/s110504483","type":"journal-article","created":{"date-parts":[[2011,4,27]],"date-time":"2011-04-27T11:24:04Z","timestamp":1303903444000},"page":"4483-4511","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":23,"title":["Dynamic Experiment Design Regularization Approach to Adaptive Imaging with Array Radar\/SAR Sensor Systems"],"prefix":"10.3390","volume":"11","author":[{"given":"Yuriy","family":"Shkvarko","sequence":"first","affiliation":[{"name":"Department of Telecommunications of Center of Research and Advanced Studies of I.P.N., Av. del Bosque 1145, Col. El Baj\u00edo, Zapopan, Jalisco, C.P. 45019, M\u00e9xico"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jos\u00e9","family":"Tuxpan","sequence":"additional","affiliation":[{"name":"Department of Telecommunications of Center of Research and Advanced Studies of I.P.N., Av. del Bosque 1145, Col. El Baj\u00edo, Zapopan, Jalisco, C.P. 45019, M\u00e9xico"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Stewart","family":"Santos","sequence":"additional","affiliation":[{"name":"Department of Telecommunications of Center of Research and Advanced Studies of I.P.N., Av. del Bosque 1145, Col. El Baj\u00edo, Zapopan, Jalisco, C.P. 45019, M\u00e9xico"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2011,4,27]]},"reference":[{"key":"ref_1","unstructured":"Henderson, FM, and Lewis, AV (1998). Principles and Applications of Imaging Radar, Manual of Remote Sensing, Wiley. 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