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Published byKimberly Wheeler Modified over 3 years ago

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S0 S1 S2 S3 00 11 10 01 10 11 00 01 J0123456 5+1 7 5+2 Trellis Diagram

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Code Tree S0 S2 S0 S2 S1 S3 S0 S2 S1 S3 S0 S2 S1 S3 00 1 10 01 00 11 10 01 11 00 01 10 00 11 10 01 11 00 01 10 00 11 10 01 11 00 01 10 00 11 10 01 11 00 01 10 01 10 11 00 01 00 11 10 01 11 00 10 01 10 01 11 0

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S0 S2 S0 S2 S1 S3 S0 S2 S1 S3 S0 S2 S1 S3 00 1 10 01 00 11 10 01 11 00 01 10 00 11 10 01 11 00 01 10 00 11 10 01 11 00 01 10 00 11 10 01 11 00 01 10 01 10 11 00 01 00 11 10 01 11 00 10 01 10 01 11 0 S2 S3 S0 01 11 Code Tree (Encoding )

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S0 S1 S2 S3 00 11 10 01 10 11 00 01 J0123456 5+1 7 5+2 10111 01 Trellis Diagram (Encoding)

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S0 S1 S2 S3 00 11 10 01 10 11 00 01 J0123456 5+1 7 5+2 10110001100111 (2) (0) (3) (0) (2) (3)(2) (5)(0) (4)(2) (4)(3) (2)(4) (0)(5) (4)(3) (4)(3) (1) (5)(0) 1 0 1 1 1 Viterbi Algorithm

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S0 S1 S2 S3 00 11 10 01 10 11 00 01 J0123456 5+1 7 5+2 101101 100111 (2) (0) (3) (0) (2) (4)(3) (4)(1) (5)(3) (4) (3)(4) (1)(5) (4) (5)(4) (2) (6)(1) 1 0 1 1 1 Viterbi Algorithm

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Sequential Decoding Consider (2,1,1) convolutional encoder ( Eg:) C (1) C (2) FFP

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S0 S1 S0 S1 S0 S1 S0 S1 S0 S1 S0 S1 S0 S1 11 1 10 01 00 11 10 01 10 00 11 10 00 11 10 01 00 11 10 01 10 01 11 0 t1 bb 0 1 1 0 1

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Uncountable Sets 2/22/121. Countably Infinite 2/13/122 There are as many natural numbers as integers 0 1 2 3 4 5 6 7 8 … 0, -1, 1, -2, 2, -3, 3, -4, 4.

Uncountable Sets 2/22/121. Countably Infinite 2/13/122 There are as many natural numbers as integers 0 1 2 3 4 5 6 7 8 … 0, -1, 1, -2, 2, -3, 3, -4, 4.

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