1. A method for speech parameterization and coding of a continuous speech signal, comprising: dividing said continuous speech signal into a plurality of speech frames, and for each one of said plurality of speech frames: modeling said speech frame by a first harmonic modeling to produce a plurality of harmonic model parameters; reconstructing an estimated frame signal from said plurality of harmonic model parameters; subtracting said estimated frame signal from said speech frame to produce a harmonic model residual signal; performing at least one second harmonic modeling analysis on said first harmonic model residual to determine at least one set of second harmonic model components; removing said at least one set of second harmonic model components from said first harmonic model residual signal to produce a harmonically-filtered residual signal; and processing said harmonically-filtered residual signal with analysis by synthesis techniques to produce vectors of codebook indices and corresponding gains.