{"paper":{"title":"Singular FIOs in SAR Imaging, II: Transmitter and Receiver at Different Speeds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.AP","authors_text":"Clifford J. Nolan, Eric Todd Quinto, Gaik Ambartsoumian, Raluca Felea, Venkateswaran P. Krishnan","submitted_at":"2017-02-23T21:26:16Z","abstract_excerpt":"In this article, we consider two bistatic cases arising in synthetic aperture radar imaging: when the transmitter and receiver are both moving with different speeds along a single line parallel to the ground in the same direction or in the opposite directions. In both cases, we classify the forward operator $\\Fc$ as a Fourier integral operator with fold/blowdown singularities. Next we analyze the normal operator $\\Fc^*\\Fc$ in both cases (where $\\Fc^{*}$ is the $L^{2}$-adjoint of $\\Fc$). When the transmitter and receiver move in the same direction, we prove that $\\Fc^*\\Fc$ belongs to a class of"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.07397","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}