Compensating for errors in performance sensitive transformations

The invention provides a method, a data analyzing system, an apparatus, and article of manufacture which reduce the error in transform equations in which constants are replaced by approximations. This is achieved by factoring an adjustment factor into the calculations which serves to reduce the error introduced by the approximations. For a forward transform equation this may be performed as part of a quantization step and for an inverse transform equation this may be performed as part of a de-quantization step. For example the adjustment factor could reduce the maximum error associated the approximations.