Valin, Jean-Marc; Smith, Daniel V.; Montgomery, Christopher; Terriberry, Timothy B. An iterative linearised solution to the sinusoidal parameter estimation problem. (English) Zbl 1195.94036 Comput. Electr. Eng. 36, No. 4, 603-616 (2010). Summary: 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. MSC: 94A12 Signal theory (characterization, reconstruction, filtering, etc.) Keywords:sinusoidal modelling; iterative least-squares solution × Cite Format Result Cite Review PDF Full Text: DOI arXiv