How To Do Complex Zeros
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The poles and zeros of your system describe this behavior nicely.
How to do complex zeros. If b contains only zeros then z is complex and the value of all its imaginary components is 0. In contrast the addition a 0i returns a strictly real result. With more complex linear circuits driven with arbitrary waveforms including linear circuits with feedback poles and zeros reveal a significant amount of information about stability and the time-domain response of the system.
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