Method and apparatus for generating digital signals representing

Details Method and apparatus for generating digital signals representing Method and apparatus for generating digital signals representing

1983-03-02

1986-03-18

Malzahn, David H.

Boots, shoes, and leggings

G06F 1531

Patent

active

045772878

ABSTRACT:
A method of generating the digital representation of a sine wave. A digital signal processor is used to generate the sample digital values, spaced at period T, of a sine wave of frequency F, using the value of the previous sample, e, the corresponding value of cosine, f, and two constants, c=sin2.pi.FT and d=cos2.pi.FT. The next value of sine, S=ed+cf; the value of the corresponding cosine, C=df-ce. The magnitude of c and d are rounded up so that c.sup.2 +d.sup.2 .gtoreq.1. Any calculated values of S or C which exceed unity in magnitude are limited to a magnitude of unity. This limiting operation accomplishes the normalization operation necessary to avoid exponential build-up due to accumulated round-off errors, and does so more efficiently than was previously possible. Sine waves with a 50 dB signal to noise ratio have been generated using this method.

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L. R. Rabiner and B. Gold, Theory and Application of Digital Signal Processing, Prentice-Hall, 1975, pp. 563-564.

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