A method for compressing a signal, the method comprising: acquiring, via a signal recording module, a primary signal; modelling, via a processor, a model signal of the primary signal by: acquiring, via the processor, a sampled signal; acquiring, via the processor, a windowed signal; and extracting, via the processor: a fundamental frequency waveform having a fundamental magnitude and a fundamental phase; and at least one harmonic frequency waveform having a harmonic magnitude and a harmonic phase; wherein the model signal comprises the fundamental frequency waveform and the at least one harmonic frequency waveform; calculating, via the processor, an error signal between a reconstructed signal and the primary signal; determining, via the processor, an optimal gain from at least; an averaging step providing an average value, a predefined threshold, and a scaled signal.

A digital delta-sigma modulator (DDSM) is disclosed with an input signal x[n], an output signal y[n], a quantization error signal e[n] and a dither signal d[n], having an equation described in the z-domain by
Y(z)=STF(z)X(z)+DTF(z)D(z)NTF(z)E(z), wherein Y(z), X(z), D(z) and E(z) are z-transforms of the output signal, the input signal, the dither signal, and the quantization error signal, and wherein STF(z), DTF(z) and NTF(z) correspond to a transfer function of the input signal, a transfer function of the dither signal, and a transfer function of the quantization error signal, and wherein the transfer function of the quantization error signal is of the form: $\mathrm{NTF}\left(z\right)=A{z}^{-Q}\left(1-z^{-1}\right)\left(1+\underset{i=1}{\overset{K}{.Math.}}{c}_i{z}^{-i}\right),$ A, Q and K are constants, coefficients c.sub.i are real valued and c.sub.K0 and wherein at least one of the zeroes z.sub.j of $\left(1+\underset{i=1}{\overset{K}{.Math.}}{c}_i{z}^{-i}\right)$