Abstract: Apparatus and method for data compression in which a coded message representing a digital bit stream is transmitted over a low bandwidth transmission link and received by apparatus which includes a calculator operable to create a sequence of output values comprising the calculated result of a generator equation. The output values comprising a digital bit stream may be converted to analogue form by a digital to analogue converter. By clocking the output of the waveform generating apparatus asynchronously, with respect to its inputs, a high level of data compression occurs.

Abstract: Apparatus for analysis and filtering complex waveforms using a method of waveform generation which creates a sequence of output values, each output value comprising the calculated result of a Portmanteau function generator equation and argument. In one embodiment, the output values are subtracted from a complex waveform to yield a filtered, modified waveform for further inspection on an oscilloscope for example.

Abstract: Apparatus for generating waveforms that uses a calculator operable to generate a succession of output values which include solutions to a stored generator equation. In one embodiment the generator equation has the inverse of a trigonometric function as its argument. By combining mathematical functions to form different generator equations, a vast number of waveform shapes can be generated. The invention has applications in waveform synthesis for musical instruments, modulators, adaptive control systems, etc.