Efficient codec for electrical signals

A method for compressing a primary signal, the method comprising:

• acquiring, via a signal recording module, the primary signal;
• modelling, via a processor, a model signal of the primary signal by:
• acquiring, via the processor, a sampled signal from the primary signal;
• acquiring, via the processor, a windowed signal from the sampled signal;
• and
• extracting from the windowed signal, via the processor:
• a fundamental frequency waveform having a fundamental magnitude, a fundamental phase, and a fundamental frequency;
• at least one harmonic frequency waveform having a harmonic magnitude, a harmonic phase, and a harmonic frequency;
• and
• recreating the model signal from the fundamental frequency waveform and the at least one harmonic frequency waveform;
• calculating, via the processor, an error signal between the model signal and the primary signal;
• determining, via the processor, an optimal gain by iteratively:
• i) multiplying a historical error signal with a predetermined gain to create a scaled signal;
• ii) averaging a difference between the error signal and the scaled signal to obtain an average value;
• iii) comparing the average value with a predetermined threshold;
• and
• upon determining that the average value meets the predetermined threshold, setting the optimal gain to the predetermined gain;
• upon determining that the average value does not meet the predetermined threshold, adjusting the predetermined gain, and repeating steps i), ii), and iii) with the adjusted predetermined gain;
• subtracting the error signal from the historical error signal to create a residual signal;
• and
• vector quantising the residual signal as a number of residual indexes;
• and
• composing, via the processor, a compressed signal, wherein the compressed signal comprises:
• the fundamental phase;
• the fundamental magnitude;
• the fundamental frequency;
• the harmonic phase;
• the harmonic magnitude;
• the harmonic frequency;
• the optimal gain;
• and
• the residual indexes.