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    The properties of a 2D discrete transfer function with degree of each variable being unity are discussed. The coefficients of the denominator polynomial contain a parameter k (having real values) whose bounds are determined by stability considerations. These bounds are obtained by testing the overall polynomial at only four points z1=±1 and z2=±1. Suitable numerator polynomial can be associated to get the overall transfer function. Such structures can be cascaded so that the overall magnitude response can be changed by altering the response of one or more sections.


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