Fixed-Point Blockset

Direct Form Realization

The controller directly implements this equation

where

• u(k - 1) represents the input from the previous time step.
• y(k) represents the current output, and y(k - 1) represents the output from the previous time step.
• b_i represents the FIR numerator coefficients.
• a_i represents the FIR denominator coefficients.

The first summation in y(k) represents multiplication and accumulation of the most recent inputs and numerator coefficients in the accumulator. The second summation in y(k) represents multiplication and accumulation of the most recent outputs and denominator coefficients in the accumulator. Since the FIR coefficients, inputs, and outputs are all represented by 16-bit numbers (the base data type), any multiplication involving these numbers produces a 32-bit output (the accumulator data type).

Digital Controller Realization

Simulation Results