A real-time analyzer-synthesizer is described that can process complex signals whose waveforms change with time to the limits of the uncertainty principle. Overlap integrals between the input signal and user-selected basis functions are automatically recorded on (during analysis) or read from (during synthesis) film. Special converters permit using trigonometric amplitudes and phases for analysis and synthesis. Frequency tracking with signal-controlled bandwidth may be used during analysis. Frequency tracking uses a coherence detector to distinguish signals to which a frequency may be ascribed from noise. Various constant fractional or constant absolute bandwidths may be selected. The synthesizer can work with user-provided graphs; any of these curves and those on the film may be used as the modulation function for any selected basis functions.
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