{"693750":{"#nid":"693750","#data":{"type":"event","title":"CSIP Seminar | Nakul Singh","body":[{"value":"\u003Cp\u003E\u003Cstrong\u003ETalk Title:\u003C\/strong\u003E A Fast Broadband Beamspace Transformation\u003Cbr\u003E\u003Cstrong\u003ESpeaker: \u003C\/strong\u003ENakul Singh, Georgia Tech Ph.D. Student\u003Cbr\u003E\u003Cstrong\u003EDate:\u003C\/strong\u003E Thursday, November 12, 2026\u003Cbr\u003E\u003Cstrong\u003ETime:\u003C\/strong\u003E 3:00 p.m. - 4:00 p.m.\u003Cbr\u003E\u003Cstrong\u003ELocation:\u003C\/strong\u003E CSIP Library \u2014 Room 5126, Centergy One, 5th Floor\u003C\/p\u003E\u003Cp\u003E\u003Cstrong\u003EAbstract:\u003C\/strong\u003E We present a new computationally efficient method for multi-beamforming in the broadband setting. Our \u201cfast\u003Cbr\u003Ebeamspace transformation\u201d forms B beams from M sensor outputs using a number of operations per sample that\u003Cbr\u003Escales linearly (to within logarithmic factors) with M when B\u223cM . While the narrowband version of this\u003Cbr\u003Etransformation can be performed efficiently with a spatial fast Fourier transform, the broadband setting requires\u003Cbr\u003Ecoherent processing of multiple array snapshots simultaneously. Our algorithm works by taking N samples off of\u003Cbr\u003Eeach of M sensors and encoding the sensor outputs into a set of coefficients using a special non-uniformly spaced\u003Cbr\u003EFourier transform. From these coefficients, each beam is formed by solving a small system of equations that has\u003Cbr\u003EToeplitz structure. The total runtime complexity is O(M log N + B log N ) operations per sample, exhibiting\u003Cbr\u003Eessentially the same scaling as in the narrowband case. Our method offers significantly higher accuracy and lower\u003Cbr\u003Ecomputational complexity than delay-and-sum filtering techniques and significantly higher accuracy and lower\u003Cbr\u003Elatency than standard frequency- domain techniques based on sub-band processing. An additional benefit of the\u003Cbr\u003Eproposed approach is that it allows for a careful error analysis; we give concrete formulas for the bias and variance\u003Cbr\u003Eof the beamformer given the array parameters. We also provide a host of numerical experiments demonstrating the\u003Cbr\u003Ealgorithm\u2019s favorable computational scaling and high accuracy. Finally, we demonstrate how tasks such as\u003Cbr\u003Einterpolating to \u201coff-grid\u201d angles and nulling an interferer are more computationally efficient when performed directly\u003Cbr\u003Ein beamspace.\u003C\/p\u003E\u003Cp\u003E\u003Cstrong\u003EBio: \u003C\/strong\u003ENakul Singh received a bachelor\u2019s degree in electrical engineering from the Indian Institute of Technology, Kanpur,\u003Cbr\u003EIndia, in 2022. He is currently working toward the Ph.D. degree at the Georgia Institute of Technology, advised by\u003Cbr\u003EProf. Justin Romberg and Prof. Mark Davenport. His research interests include machine learning, signal\u003Cbr\u003Eprocessing, and massive MIMO.\u003C\/p\u003E","summary":"","format":"limited_html"}],"field_subtitle":"","field_summary":[{"value":"\u003Cp\u003EJoin Georgia Tech Ph.D. student Nakul Singh for a talk on a Fast Broadband Beamspace Transformation.\u003C\/p\u003E","format":"limited_html"}],"field_summary_sentence":[{"value":"Join Georgia Tech Ph.D. student Nakul Singh for a talk on a Fast Broadband Beamspace Transformation."}],"uid":"36558","created_gmt":"2026-11-03 22:41:11","changed_gmt":"2026-11-03 22:44:26","author":"zwiniecki3","boilerplate_text":"","field_publication":"","field_article_url":"","field_event_time":{"event_time_start":"2026-11-12T15:00:00-05:00","event_time_end":"2026-11-12T16:00:00-05:00","event_time_end_last":"2026-11-12T16:00:00-05:00","gmt_time_start":"2026-11-12 20:00:00","gmt_time_end":"2026-11-12 21:00:00","gmt_time_end_last":"2026-11-12 21:00:00","rrule":null,"timezone":"America\/New_York"},"location":"CSIP Library \u2014 Room 5126, Centergy One, 5th Floor","extras":["free_food"],"groups":[{"id":"1255","name":"School of Electrical and Computer Engineering"}],"categories":[],"keywords":[{"id":"5611","name":"CSIP Seminar Series"}],"core_research_areas":[],"news_room_topics":[],"event_categories":[{"id":"194683","name":"Talk"}],"invited_audience":[{"id":"78761","name":"Faculty\/Staff"},{"id":"177814","name":"Postdoc"},{"id":"174045","name":"Graduate students"},{"id":"78751","name":"Undergraduate students"}],"affiliations":[],"classification":[],"areas_of_expertise":[],"news_and_recent_appearances":[],"phone":[],"contact":[],"email":[],"slides":[],"orientation":[],"userdata":""}}}