Showing papers on "Divisor published in 1979"

High resolution fractional divider

Abstract: A high resolution fractional divider is responsive to a multi-bit divisor representative control word and a clock signal for developing an output signal having an average frequency of the form n-f, wherein n is an integer determined according to the most significant bits of the control word and f is a fraction determined according to the least significant bits of the control word.

On the greatest prime factors of decomposable forms at integer points

Abstract: Let f€Zlx, yl be a binary form and assume that among the linear factors in thefactorization of/at least three are distinct. Mahler [12] proved that P(f(x,y))*if X:max(lxl, lyl)*with x, y(2, (x,-/):1, where P(n) denotes the greatest prime factor of n. Mahler's work was generalized by Parry [14]. For irreducible forms/Coates [4] improved Mahler's result by showing that if a:114, then for any coprime integers x, y

Asynchronous tone generator

Abstract: In an electronic organ of the time-sharing type, a single clock source drives a number of variable divisor frequency dividers which are assigned different divisor values to produce different musical tones at different times. In order to prevent phase synchronism between two simultaneously operating dividers, and thus achieve a rolling phase relationship which is perceived as a chorus effect, divisor values are employed for the two frequency dividers which are not in a whole number relationship. If the two dividers are generating octavely related notes, the divisors used have a ratio not quite equal to the nominal 2:1 value which musical theory requires. Moreover, the exact value of the ratio varies from note to note within each octave so that the rate of phase roll is not monotonously the same for all notes. Alternatively, if the two dividers are both generating the same note, then the divisors used have a ratio which is not quite equal to the 1:1 value which musical theory requires.

Digital frequency divider

Abstract: A digital frequency divider, for producing an output signal related in frequency to an input signal by the ratio less than unity Z/N, incorporates an exclusive-OR gate and three frequency dividers having divisors m, n and k. The fraction Z/N is realized where n and k are integers, and the divisor m is chosen by: ##EQU1## When m is not an integral number, its corresponding divider is embodied by a cascaded divider circuit made up of two or more cascaded units each including an exclusive-OR gate and at least two frequency dividers connected to yield a fractional divisor.