High-Speed Digital Interpolator With Accumulators
Original Publication Date: 1988-Feb-01
Included in the Prior Art Database: 2005-Feb-14
This article describes a real-time digital signal interpolation technique with pipelined accumulators. With the use of inputs x(nT) and its m-th differentiations x(nT), x(nT), x(nT) ... x(m)(nT) (n: natural number) for every T sec., the method for extrapolating x(nT+kt) (k=1,2, ... 2h) for t given as T=2h (h: natural number) is shown as follows. (Image Omitted) Applying forward difference approximation, Obtaining the sum. Let the same process against m-th differentiations. Concerning the condition that x(m)(t) is constant while nT < t < (n+1)T, Therefore, A hardware expression of the equation (1) is shown in Fig. 1. Here, digital data of x or their differentiations multiplied Tm are loaded to input B of each accumulator every T second. The accumulated value which is inputted to next A register is updated every t second.