संकेत sinc(700t) + sinc(500t) के लिए नाइक्विस्ट प्रतिचयन अंतराल ________ है।

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ESE Electrical 2013 Paper 2: Official Paper
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  1. 1350sec
  2. π350sec
  3. 1700sec
  4. π175sec

Answer (Detailed Solution Below)

Option 3 : 1700sec
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Detailed Solution

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अवधारणा :

नाइक्विस्ट दर: न्यूनतम प्रतिचयन दर को अक्सर नाइक्विस्ट दर कहा जाता है। नाइक्विस्ट प्रतिचयन दर निम्न है इनपुट या संदेश सिग्नल की उच्चतम आवृत्ति का दो गुना।

fs=2fm

जहाँ,

fs न्यूनतम प्रतिचयन आवृत्ति या नाइक्विस्ट दर है

fm इनपुट या संदेश संकेत के सर्वोच्च आवृत्ति है।

गणना:

sinc(700t) + sinc(500t)

=sin700πt700πt+sin500πt500πt

f1 = 700π/2π = 350 Hz

f2 = 500π/2π = 250 Hz

fm = अधिकतम (f1, f2) = अधिकतम (350, 250) = 350 Hz

प्रतिचयन आवृत्ति,

fs = 2fm = 2 × 350 = 700 Hz

प्रतिचयन समय अवधि = 1/700 सेकंड

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