खालीलपैकी कोणते त्रुटीची जास्तीत जास्त शक्यता देते

This question was previously asked in
BSNL JE (TTA) 25 September 2016 Shift 1 Paper
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  1. ASK
  2. FSK
  3. PSK
  4. DPSK

Answer (Detailed Solution Below)

Option 1 : ASK

Detailed Solution

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विश्लेषण:

ASK, PSK आणि FSK साठी त्रुटीची शक्यता खालीलप्रमाणे दिली आहे

\(P_{e_{ASK}} = Q ( {{\sqrt {\dfrac {A^2_c T_b \space }{4N_0}}})} \space \)

\(P_{e_{PSK}} = Q ( {{\sqrt {\dfrac {A^2_c T_b \space }{N_0}}})} \space \)

\(P_{e_{FSK}} = Q ( {{\sqrt {\dfrac {A^2_c T_b \space }{2N_0}}})} \space \)

Q(x) हा घटणारे फलन आहे म्हणून x वाढल्यावर Q(x) चे मूल्य कमी होते

\( \sqrt {\dfrac {A^2_c T_b \space }{N_0}} \space > \space \sqrt {\dfrac {A^2_c T_b \space }{2N_0}} \space > \space \sqrt {\dfrac {A^2_c T_b \space }{4N_0}} \space \)

म्हणून,

\( Q (\sqrt {\dfrac {A^2_c T_b \space }{4N_0}}) \space > \space Q(\sqrt {\dfrac {A^2_c T_b \space }{2N_0}}) \space > \space Q( \sqrt {\dfrac {A^2_c T_b \space }{N_0}}) \space \)

Pe ASK > PeFSK > Pe PSK

ASK मॉड्युलेशन पद्धतीत त्रुटीची जास्तीत जास्त शक्यता असते.

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