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Chapter: Discrete Time Systems and Signal Processing : Discrete Time System Analysis

Jury's Stability Criteria / Algorithm

Jury's stability algorithm says 1. Form the first rows of the table by writing the coefficients of D(z).

JURY'S STABILITY CRITERIA / ALGORITHM:

Jury's stability algorithm says

1. Form the first rows of the table by writing the coefficients of D(z).


2. Form third and fourth rows of the table by evaluating the determinant CJ


3. This process will continue until you obtain 2N-3 rows with last two having 3 elements.  Y0,Y1,Y2


A digital filter with a system function H(z) is stable, if and only if it passes the following terms.


a. D(Z)|Z=1 > 0

b. (-1)N D(Z)|Z=-1 >0

c. |b0|>|bN|, |C0|

 

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