Multidimensional transform: Difference between revisions

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Region of convergence: left part of absolute symbol
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If a sequence has a support as shown in Figure 1.1a, then its ROC is shown in Figure 1.1b. This follows that |''F''(''z''<sub>1</sub>,''z''<sub>2</sub>)| < '''∞''' .
 
<math>(z_{01},z_{02})</math> lies in the ROC, then all points<math>(z_1,z_2)</math>that satisfy |z1|≥|z01| and |z2|≥|z02| lie in the ROC.
 
Therefore, for figure 1.1a and 1.1b, the ROC would be