An iterative linearised solution to the sinusoidal parameter estimation problem

  • Authors:
  • Jean-Marc Valin;Daniel V. Smith;Christopher Montgomery;Timothy B. Terriberry

  • Affiliations:
  • CSIRO ICT Centre, Cnr. Vimiera and Pembroke Roads, Marsfield NSW 2122, Australia and Xiph.Org Foundation, 21 College Hill Road, Somerville, MA 02144, USA;Tasmanian ICT Centre, CSIRO, Castray Esplanade, Hobart Tasmania, 7004, Australia;RedHat Inc., 314 Littleton Road, Westford, MA 01886, USA and Xiph.Org Foundation, 21 College Hill Road, Somerville, MA 02144, USA;Xiph.Org Foundation, 21 College Hill Road, Somerville, MA 02144, USA

  • Venue:
  • Computers and Electrical Engineering
  • Year:
  • 2010

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Abstract

Signal processing applications use sinusoidal modelling for speech synthesis, speech coding, and audio coding. Estimation of the model parameters involves non-linear optimisation methods, which can be very costly for real-time applications. We propose a low-complexity iterative method that starts from initial frequency estimates and converges rapidly. We show that for N sinusoids in a frame of length L, the proposed method has a complexity of O(LN), which is significantly less than the matching pursuits method. Furthermore, the proposed method is shown to be more accurate than the matching pursuits and time-frequency reassignment methods in our experiments.