Problem-1.2) PRECODING and COLLABORATIVE DECISION MAKING A source intends to use any one of the following...
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Problem-1.2) PRECODING and COLLABORATIVE DECISION MAKING A source intends to use any one of the following two strategies, to transmit independent and equiprobable BITS B₁, B₂ € {-1,1} over an INDEPENDENT GAUSSIAN NOISE CHANNEL; Treat the BITS as BERNOULLI ½ random variables and V₁: i E {1,2} as zero mean INDEPENDENT Gaussian r. vs with variance o². Assuming (Single BIT per channel use): Y₁ =B₁ + V₁ Y₂ = B₂ + V₂ Devise a suitable Inferencing rule For detecting bits B₁ and B₂, when Measurements at the receiver's side are available as Y₁ = y₁ and Y₂ = y2 Determine the Prob(ERROR). Assuming (WITH PRE-CODING): Y₁ =B₁ + B₂ + V₁ Y₂ = B₁-B₂ + V₂ Devise a suitable Inferencing rule For detecting bits B₁ and B₂, when Measurements at the receiver's side are available as Y₁ = y₁ and Y₂ = y₂ Determine the Prob(ERROR). Compare the Prob(ERROR) in both cases and comment!! Problem-1.2) PRECODING and COLLABORATIVE DECISION MAKING A source intends to use any one of the following two strategies, to transmit independent and equiprobable BITS B₁, B₂ € {-1,1} over an INDEPENDENT GAUSSIAN NOISE CHANNEL; Treat the BITS as BERNOULLI ½ random variables and V₁: i E {1,2} as zero mean INDEPENDENT Gaussian r. vs with variance o². Assuming (Single BIT per channel use): Y₁ =B₁ + V₁ Y₂ = B₂ + V₂ Devise a suitable Inferencing rule For detecting bits B₁ and B₂, when Measurements at the receiver's side are available as Y₁ = y₁ and Y₂ = y2 Determine the Prob(ERROR). Assuming (WITH PRE-CODING): Y₁ =B₁ + B₂ + V₁ Y₂ = B₁-B₂ + V₂ Devise a suitable Inferencing rule For detecting bits B₁ and B₂, when Measurements at the receiver's side are available as Y₁ = y₁ and Y₂ = y₂ Determine the Prob(ERROR). Compare the Prob(ERROR) in both cases and comment!!
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When the bits are treated as Bernoulli random variables and the channel is an independent Gaussian noise channel the optimal decision rule is to choos... View the full answer
Related Book For
Cost Accounting Foundations and Evolutions
ISBN: 978-1111626822
8th Edition
Authors: Michael R. Kinney, Cecily A. Raiborn
Posted Date:
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