Discussion
Consider the following statements about Bode plots.
1. A pole adds a downward slope of six decibels per octave
2. A zero adds ninety degrees of phase lead
3. The true response is three decibels from the asymptotes at a break
Which of the statements given above is or are correct?
Answer: C
All three are correct, and between them they are the whole construction: the slope a pole adds, the phase a zero adds, and the worst-case error of the straight-line approximation. Because poles and zeros are exact mirrors of one another, learning one set of rules gives both. A method with a known bounded error is what allows a response to be sketched by hand and still trusted.
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