M. Campedel-oudot et al., Estimation of the spectral envelope of voiced sounds using a penalized likelihood approach, IEEE SPEECH, 9(5), 2001, pp. 469-481
Estimation of the spectral envelope (magnitude of the transfer function) of
a filter driven by a periodic signal is a long-standing problem in speech
and audio processing. Recently, there has been a renewed interest in this i
ssue in connection with the rapid developments of processing techniques bas
ed on sinusoidal modeling. In this paper, we introduce a new performance cr
iterion for spectral envelope fitting which is based on the statistical ana
lysis of the behavior of the empirical sinusoidal magnitude estimates. We F
urther show that penalization is an efficient approach to control the smoot
hness of the estimation envelope, In low-noise situations, the proposed met
hod can be approximated by a two steps weighted least-squares procedure whi
ch also provides an interesting insight into the limitations of the previou
sly proposed "discrete cepstrum" approach. A systematic simulation study co
nfirms that the proposed methods perform significantly better than existing
ones for high pitched and noisy signals.