Ambiguity function shaping via quartic descent on the complex circle manifold

Khaled Alhujaili, Vishal Monga, Muralidhar Rangaswamy

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Scopus citations


Controlling the range-Doppler response, i.e. Ambiguity Function (AF) continues to be of great interest in cognitive radar. The design problem is known to be a nonconvex quartic function of the transmit radar waveform. This AF shaping problem becomes even more challenging in the presence of practical constraints on the transmit waveform such as the Constant Modulus Constraint (CMC). Most existing approaches address the aforementioned challenges by suitably modifying or relaxing the design cost function and/or CMC. In a departure from such methods, we develop a solution that involves direct optimization over the non-convex complex circle manifold, i.e. the CMC set. We derive a new update strategy (Quartic-Gradient-Descent (QGD)) that computes an exact gradient of the quartic cost and invokes principles of optimization over manifolds towards an iterative procedure with guarantees of monotonic cost function decrease and convergence. Experimentally, QGD can outperform state of the art approaches for shaping the ambiguity function under CMC while being computationally less expensive.

Original languageEnglish (US)
Title of host publication2019 IEEE Radar Conference, RadarConf 2019
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781728116792
StatePublished - Apr 2019
Event2019 IEEE Radar Conference, RadarConf 2019 - Boston, United States
Duration: Apr 22 2019Apr 26 2019

Publication series

Name2019 IEEE Radar Conference, RadarConf 2019


Conference2019 IEEE Radar Conference, RadarConf 2019
Country/TerritoryUnited States

All Science Journal Classification (ASJC) codes

  • Computer Networks and Communications
  • Signal Processing
  • Instrumentation


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