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 betwen the input signal and user-selected basis functions are automatically recorded (during analysis) on or read from (during synthesis) film. Special converters permit using trigonometric amplitudes and phases for analysis and synthesis. 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 may 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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