Fixed-Point Blockset

Accumulation

The accumulation of values is closely associated with addition:

Finding Q_{a_new} involves one multiply of a constant and a variable, two additions, and some bit shifting:

The important difference for fixed-point implementations is that the scaling of the output is identical to the scaling of the first input.

Radix Point-Only Scaling

For radix point-only scaling, finding Q_{a_new} results in this simple expression:

This scaling option only involves one addition and some bit shifting.

Note    The negative accumulation of values produces results that are analogous to those produced by the accumulation of values.

Addition

Multiplication