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Elastic objects are modeled as linear time-invariant systems with known impulse responses, while additive noise (e.g., ocean noise or receiver noise) and acoustic self-noise (e.g., reverberation or clutter) are modeled as stationary Gaussian random processes with known power spectral densities. The first approach finds the waveform that preserves the optimal spectral magnitude while achieving the minimum temporal duration. The second approach yields a finite-length time-domain sequence by maximizing temporal energy concentration, subject to the constraint that the spectral magnitude is close (in a least-squares sense) to the optimal spectral magnitude. The two approaches are then connected analytically, showing the former is a limiting case of the latter. Simulation examples that illustrate the theory are accompanied by discussions that address practical applicability and how one might satisfy the need for target and environmental models in the real-world.<\/jats:p>","DOI":"10.1121\/1.4794370","type":"journal-article","created":{"date-parts":[[2013,4,4]],"date-time":"2013-04-04T05:28:19Z","timestamp":1365053299000},"page":"2169-2179","update-policy":"http:\/\/dx.doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":1,"title":["Time and frequency constrained sonar signal design for optimal detection of elastic objects"],"prefix":"10.1121","volume":"133","author":[{"given":"Brandon","family":"Hamschin","sequence":"first","affiliation":[{"name":"Applied Physics Laboratory, The Johns Hopkins University , Laurel, Maryland 20723"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Patrick J.","family":"Loughlin","sequence":"additional","affiliation":[{"name":"Department of Bioengineering, 302 Benedum Hall, University of Pittsburgh , Pittsburgh, Pennsylvania 15261"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"231","published-online":{"date-parts":[[2013,4,3]]},"reference":[{"key":"2023073123331634200_c1","first-page":"1","volume-title":"Probability and Information Theory, with Applications to Radar","year":"1953"},{"key":"2023073123331634200_c2","doi-asserted-by":"publisher","first-page":"1578","DOI":"10.1109\/18.259642","article-title":"Information theory and radar waveform design","volume":"39","year":"1993","journal-title":"IEEE Trans. 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