एक सिग्नल का z - रूपांतरX(z)=14z1(1z4)(1z1)2 है, तो इसका अंतिम मान क्या है?

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अवधारणा:

अंतिम मान प्रमेय:

यह बताता है कि:

x()=limz1(1z1)X(z)

स्थितियां:

1. यह केवल करणीय प्रणालियों के लिए मान्य है।

2. (1 – z-1) X(z) के ध्रुव को इकाई वृत्त के अंदर स्थित होना चाहिए।

गणना:

z- परिवर्तन के लिए अंतिम मान प्रमेय है:

=limz114(1z1)z1(1z4)(1z1)2

=limz114(z21)(z2+1)z4(z1)

=limz114(z+1)(z2+1)z4

= 1/4 × 1 × 2 × 2 = 1

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