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  • a note on estimating the fundamental frequency of a Periodic Function
    Signal Processing, 2004
    Co-Authors: Debasis Kundu, Swagata Nandi
    Abstract:

    In this note we consider the estimation of the fundamental frequency of a Periodic Function. It is observed that the simple least-squares estimators can be used quite effectively to estimate the unknown parameters. The asymptotic distribution of the least-squares estimators is provided. Some simulation results are presented and finally we analyze two real life data sets using different methods.

  • estimating the fundamental frequency of a Periodic Function
    Statistical Methods and Applications, 2004
    Co-Authors: Swagata Nandi, Debasis Kundu
    Abstract:

    In this paper we consider the problem of estimation of the fundamental frequency of a Periodic Function, which has several applications in Speech Signal Processing. The problem was originally proposed by Hannan (1974) and later on Quinn and Thomson (1991) provided an estimation procedure of the unknown parameters. It is observed that the estimation procedure of Quinn and Thomson (1991) is quite involved numerically. In this paper we propose to use two simple estimators and it is observed that their performance are quite satisfactory. Asymptotic properties of the proposed estimators are obtained. The large sample properties of the estimators are compared theoretically. We present some simulation results to compare their small sample performance. One speech data is analyzed using this particular model.