Note that, for the special case N = 0, the relations (63)-(70) (the
IIR filter) can be used for the state estimation in absence or incompleteness of the statistical information about the initial conditions of (1).
The following processing DSP IP cores were chosen for inclusion into the library: FIR filter,
IIR filter, FFT/IFFT modules, and a parameterized and highly scalable DDC core.
The output signal of the
IIR filter y(n) is computed as
On the optimal design of
IIR filter with its state-space realization, Indian J.
However, the fact that FIR filters order is considerably higher than that of an equivalent
IIR filter, and that FIR filters computational efficiency is considerably poorer, has resulted in searching for new methods, with
IIR filters in the sharpening structure [2, 3].
According to the block diagram of Figure 1, the output of the plant is d(i) whereas the output of the
IIR filter is y(i).
Critical path solver algorithm Filter order
IIR filter FIR filter FPGA based GPP based FPGA based GPP based (ns) (ms) (ns) (ms) 2 4.60 13.8 9.06 12.83 4 15.71 15.78 16.31 14.46 6 29.98 19.18 19.23 15.47 8 31.62 21.90 29.71 16.42 10 39.81 26.27 36.53 18.61 12 46.72 31.42 43.28 23.52 Shortest path solver algorithm Filter order
IIR filter FIR filter FPGA based GPP based FPGA based GPP based (ns) (ms) (ns) (ms) 2 2.78 3.05 3.05 12.80 4 3.68 13.91 13.91 13.19 6 3.98 15.42 15.42 17.31 8 4.52 25.23 25.23 32.94 10 5.36 42.93 42.93 45.34 12 6.71 55.34 55.34 51.61 TABLE 5: Comparison results of different adder/multiplier combinations for digital filters.