इकाई आवेग δ(t) का फूरियर रूपांतरण _____ है।

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ISRO VSSC Technical Assistant Electronics 2019 Official Paper
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  1. π
  2. 1
  3. 0
  4. ω (ω)

Answer (Detailed Solution Below)

Option 2 : 1
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अवधारणा :

समय डोमेन में सिग्नल का फूरियर रूपांतरण इस प्रकार दिया गया है:

गणना:

F (t) = δ (t) के लिए

स्पेक्ट्रम का प्रतिनिधित्व इस प्रकार है:

कुछ सामान्य फूरियर रूपांतरण और उनके स्पेक्ट्रम दिखाए गए हैं:

For f(t) = u(t)

 

f(t) = e-tu(t) के लिए

इसके अलावा, एक आयताकार पल्स का फूरियर रूपांतरण एक साइन पल्स है, अर्थात

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