
60 CHAPTER 4. IIR DIGITAL FILTERS
moving the poles of an IIR filter close to the unit circle.
1. As |r|→1.0, the maximum gain of the filter (without scaling) approaches 1 (0 dB).
For any value of |r|, the maximum gain may always be forced to 1 (0 dB) by including a
multiplicative scale factor that would have to be multiplied by all of the b coefficients,
but we would prefer to avoid this extra step. Remember, excess gain in a DSP
algorithm can cause significant problems if it results in an output value that exceeds
the numerical range of the DAC.
2. As |r|→1.0, the Q of the filter (i.e., steepness of the notch) increases dramatically.
At the same time, as ...