Abstract- The stability testing of first quadrant quarter-plane (QP) two dimensional recursive digital filters had been a classical problem for the last two decades. In literature, the two major types of stability testing methods available are algebraic and mapping methods. Even though the algebraic methods can determine the stability in finite number of steps, it has a few practical limitations in its implementations and it consumes very large time to find the exact stability as it requires larger number of calculations. Moreover, the accuracy of the algebraic methods is also affected by the finite word length effects of the computer. The mapping methods, in general cannot guarantee the stability of given recursive digital filter in finite number of steps as it can determine the stability only in infinite number of steps. Out of the mapping methods, Jury’s row and column algorithms have been considered as highly efficient, even though they still run short of accuracy due to the undefined length of the FFT used. Hence, the best mapping method is not yet available, though some researchers like Bistritz have been working on this problem even now. The main aim of this paper is to find the simple and fast solution for testing the stability of first quadrant quarter-plane two dimensional recursive digital filters. In this work, it is assumed that the given transfer function is devoid of non-essential singularities of second kind. A new mapping stability tes
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