1. A method for speech parameterization and coding of a continuous speech signal, comprising: receiving a continuous speech signal representing speech recorded by at least one microphone, 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 parameter values, wherein said first harmonic modeling is estimated by computing a cost function between a plurality of sine function signals and said speech frame, wherein each of said plurality of sine function signals comprises one of a plurality of harmonic frequencies, an amplitude value and a phrase value; reconstructing an estimated frame signal from said plurality of harmonic model parameter values; 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 component values; removing said at least one set of second harmonic model component values 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, and sending said plurality of harmonic model parameter values and said codebook vector indices and corresponding gains to a speech processor configured to compute at least one of a speech transformation, a signal compression and a conversion to an audible sound output.