A modified SEARMA method is proposed for estimating the speech spectrum in the presence of colored
background noise. The following assumptions are used in developing the analysis . The speech production process
is represented by an autoregressive moving-average (ARMA) mode] . The background noise is represented by an
MA process . The noise process is locally stationary during speech activity. Following these assumptions, the
process during speech activity can be represented by an extended ARMA model . In this formulation, unique
estimation of AR parameters of the vocal tract transfer function is always possible if the MA parameters of the
noise process can be estimated separately, but the estimation of MA parameters of the speech production process
requires further assumption of a high SNR . The validity of the proposed method is demonstrated by spectral
estimation of both synthetic and natural speech sounds in the presence of additive colored noise, and by
comparing the results with those obtained by the LPC method .Le signal de parole est représenté par un modèle autorégressif à moyenne mobile étend
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