how are zeros located in fir filter?
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Every digital filter can be specified by its poles and zeros (together with a gain factor). Poles and zeros give useful insights into a filter's response, and can be used as the basis for digital filter design. ... Therefore, the filter order equals the number of poles or zeros, whichever is greater.
A digital filter is stable if and only if all the poles of the irreducible filter transfer function lie inside the unit circle in the z plane. Any pole outside the unit circle introduces an exponentially increasing component in the filter's impulse response, thus causing the filter to be unstable
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