Apparatus and method for producing or reproducing a complex waveform over a wide frequency range while minimizing degradation and number of discrete emitters

A method of design or manufacture comprising:

• determining an order/size of a wavelet transform based on a plurality of wavelet transform order/size factors, wherein said plurality of wavelet transform order/size factors comprises:
• determining a target sampling rate, wherein said target sampling rate determines a highest frequency of interest;
• determining a number of frequency bins based on said target sampling rate;
• determining an order of a selected wavelet transform based on a preliminary frequency bin analysis, wherein said frequency bin analysis is based on a determination of a preliminary reduced number of wavelet frequency bins as determined by a frequency bin reduction analysis;
• performing a wavelet transform on an input waveform based on said determining an order/size of a wavelet transform step;
• and
• determining filtering in a wavelet domain where selected filters are determined based on an analysis of each frequency bin contribution to recreating said input waveform that was input into said wavelet transform at said performing a wavelet transform step.

A method comprising:

• configuring a device to produce a desired complex waveform over a desired range of frequencies associated with a plurality of wave signal emitters;
• wherein configuring said device comprises:
• configuring a control system to perform wavelet transforms over a desired range of frequencies;
• using filtering control processing based on frequency segmentation to reduce a number of frequencies;
• determining a size of a wavelet transform based on determining a sampling rate;
• comparing multiple filtered complex waveforms based on frequency bin analysis, reduction of frequency bins for each different multiple filtered complex waveform, and comparison of differences between a first input waveform and an each of multiple filtered complex waveforms;
• selecting a final output filtered waveform by selecting from one of multiple filtered complex waveforms which have a least amount of differences in a predetermined frequency range;
• and
• using a plurality of frequency bins to select said plurality of wave signal emitters.