परिमित-अवधि अनुक्रम की विशेष स्थिति इस प्रकार दी गयी है

\(x\left( n \right) = \left\{ { 2,\begin{array}{*{20}{c}} 4\\ \uparrow \end{array},0,3} \right\}\)

अनुक्रम x(n) भारित आवेग अनुक्रमों के योग में होगा

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ESE Electronics 2019: Official Paper
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  1. 2δ(n + 1) + 4δ(n) + 3δ(n – 2)
  2. 2δ(n) + 4δ(n –1) + 3δ(n – 3)
  3. 2δ(n) + 4δ(n –1) + 3δ(n – 2)
  4. 2δ(n + 1) + 4δ(n) + 3δ(n – 1)

Answer (Detailed Solution Below)

Option 1 : 2δ(n + 1) + 4δ(n) + 3δ(n – 2)
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Detailed Solution

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\(x\left( n \right) = \left\{ { 2,\begin{array}{*{20}{c}} 4\\ \uparrow \end{array},0,3} \right\}\)

तीर मूल को इंगित करता है। इसे इस प्रकार दर्शाया जा सकता है:

F5 S.B Madhu 28.07.20 D1

इकाई आवेग अनुक्रमों के संदर्भ में, इसे इस प्रकार दर्शाया जा सकता है:

x(n) = 2δ(n + 1) + 4δ(n) + 3δ(n – 2)

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