Economical generation of exponential and pseudo-exponential deca

Details Economical generation of exponential and pseudo-exponential deca Economical generation of exponential and pseudo-exponential deca

1994-04-07

1996-09-17

Callahan, Timothy P.

Miscellaneous active electrical nonlinear devices, circuits, and

Specific input to output function

Exponential

327356, G06F 7556

Patent

active

055572278

ABSTRACT:
Exponential and pseudo-exponential decay function values are generated by scaling a fractional decrease per sampling period by a previous decay function value and then subtracting the scaled fractional decrease from the previous decay function value. In one embodiment, a multiplier multiplies the fractional decrease by the previous decay function value and provides a product signal representing the scaled fractional decrease. An adder subtracts the scaled fractional decrease from the previous decay function value. In another embodiment, a shift block replaces the multiplier and approximates multiplication by a binary shift of the fractional decrease. The size of the shift is determined by the previous magnitude of the decay function as indicated by a priority encoder. Shifting generates a pseudo-exponential decay function which is suitable for music synthesis and can be generated quickly using less expensive hardware.

REFERENCES:
patent: 4267763 (1981-05-01), Futamase et al.
patent: 4928569 (1990-05-01), Kudo et al.
patent: 5142489 (1992-08-01), Yamaki

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