This invention relates to a high-speed acoustic noise generating system that is under the control of a computer in order to produce spectrally shaped noise of any desired amplitude versus frequency shape. The foregoing is accomplished by randomly generating and serially storing binary noise in a first memory, by generating with a computer, filter coefficients and serially storing the filter coefficients in a second memory, and by individually adding and accumulating the filter coefficients generated by the computer when the serially corresponding noise coefficient has the same polarity as the logic that triggers the apparatus of this invention.