निम्नलिखित में से कौन दी गई शर्त को पूरा करता है?

r(t) = t, t > = 0 के लिए

r(t) = 0, t < 0 के लिए

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  1. परवलयिक फलन
  2. इकाई चरण फलन
  3. आवेग फलन
  4. रैंप फलन

Answer (Detailed Solution Below)

Option 4 : रैंप फलन
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Detailed Solution

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इकाई रैंप सिग्नल:

F1 U.B 20.6.20 Pallavi D4

इसे इस रूप में परिभाषित किया गया है, 

\(r\left( t \right) = \left\{ {\begin{array}{*{20}{c}} {t,\;\;x \ge 0}\\ {0,\;\;x < 0} \end{array}} \right.\)

Additional Information

 

इकाई आवेग सिग्नल:

F1 U.B 20.6.20 Pallavi D2

इसे इस रूप में परिभाषित किया गया है, 

\(\delta \left( t \right) = \left\{ {\begin{array}{*{20}{c}} {\infty ,\;\;x = 0}\\ {0,\;\;x \ne 0} \end{array}} \right.\)

इकाई चरण सिग्नल:

F1 U.B 20.6.20 Pallavi D3

इसे इस रूप में परिभाषित किया गया है, 

\(u\left( t \right) = \left\{ {\begin{array}{*{20}{c}} {1,\;\;x \ge 0}\\ {0,\;\;x < 0} \end{array}} \right.\)

इकाई परवलय सिग्नल:

F1 U.B Madhu 29.01.20 D3

इसे इस रूप में परिभाषित किया गया है, 

\(x\left( t \right) = \left\{ {\begin{array}{*{20}{c}} {\frac{{{t^2}}}{2},\;\;x \ge 0}\\ {0,\;\;x < 0} \end{array}} \right.\)

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