GATE EC 2015 Set 2 — Question 61
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Communications → Random Processes → Autocorrelation & PSD
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Question
Consider a binary, digital communication system which uses pulses and for transmitting bits over an AWGN channel. If the receiver uses a matched filter, which one of the following pulses will give the minimum probability of bit error?
Correct answer
(A) [figure]
Solution
For antipodal signalling over AWGN with a matched-filter receiver,so the pulse with the largest energy gives the minimum bit error probability. All pulses have peak value 1 and duration 1:
- (A) rectangular:
- (B) triangular:
- (C) falling ramp:
- (D) rising ramp:
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