Variable projection for multiple frequency estimation

  • Yuneisy Garcia Guzman (Speaker)

Activity: Talk or presentationContributed talkscience-to-science

Description

The estimation of the frequencies of multiple complex sinusoids in the presence of noise is required in many applications such as sonar, speech processing, communications, and power systems. According to previous work [1, 2], this problem can be reformulated as a separable nonlinear least squares problem (SNLLS). In this paper, such formulation is derived, and a variable projection (VP) optimization is proposed for solving the SNLLS problem and estimate the frequency parameters. We also apply a lethargy-type theorem for quantifying the difficulty of the optimization. Moreover, an alternative procedure that speeds up the computation of the exact gradient is presented. Simulation results reveal that the proposed algorithm outperforms existing methods in terms of the MSE.
Period06 May 2020
Event titleVariable projection for multiple frequency estimation
Event typeConference
LocationSpainShow on map

Fields of science

  • 202017 Embedded systems
  • 202028 Microelectronics
  • 202027 Mechatronics
  • 202015 Electronics
  • 202037 Signal processing
  • 202036 Sensor systems
  • 202025 Power electronics
  • 202 Electrical Engineering, Electronics, Information Engineering
  • 202023 Integrated circuits
  • 202034 Control engineering
  • 202022 Information technology
  • 202030 Communication engineering
  • 202041 Computer engineering
  • 202040 Transmission technology

JKU Focus areas

  • Digital Transformation