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Solution manual - Digital Communications 4th Edition - Proakis

# Solution manual - Digital Communications 4th Edition - Proakis

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Corrections to Digital Communications, 4 th Edition 1. Page 31, Equation (2.1-54) First line: y l instead of y 2 Second line: g n instead of g 1 2. Page 163, Equation (4.2-30) should be: s(t) = a o /2 + Σ k=1 3. Page 163, Equation (4.2-31) T should be: a k = (2/T) s(t) cos 2 π kt/T dt , k> 0 0 T b k = (2/T) s(t) sin 2 π kt/T dt , k> 1 0 4. Page 178, 7 lines from the top should be: sqrt (2 ε ) instead of ε sqrt (2) 5. Page 238, Equation (5.1-19) should be: h(T- τ ) instead of h(t- τ ) 6. Page 238, two lines below Equation (5.1-20) should be: y 2 (T) instead of y 2 (t) n n 7. Page 244, Equation (5.1 ° 45) should be: m = 1,2,±M 8. Page 245, Equation (5.1-48) should be: : sqrt ( ε b ) instead of sqrt ( ε n )

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9. Page 309, Equation (5.4-39) R 1 sqrt (2 ε s / N 0 ) instead of sqrt (2 ε s R 1 /N 0 ) 10. Page 318, Equation (5.5-17) add the term: ° (N 0 ) dBW/Hz 11. Page 366, Equation (6.4-3) Replace + sign with ° sign in the second term of the summation 12. Page 367, Equation (6.4-6) Replace + sign with ° sign in the second term of the summation 13. Page 367, Equations (6.4-8) and (6.4-9) add the subscript L to the log-likelihood function 14. Page 422, lines 2 and 3 above Equation (8.1-14) delete the phrase ²no more than³ 15. Page 468, 12 lines from the top and 5 lines from the bottom should be: b < instead of b < 16. Page 491, Figure 8.2-15 solid line corresponds to soft-decision decoding broken line corresponds to hard-decision decoding 17. Page 500, Equation (8.2-41) In the denominator, M k should be M j and M j should be M J 18. Page 591, Figure P9.9 The lower shaping filter in the modulator and demodulator, q(t) should have a ²hat³ on it
19. Page 609, 6 lines above Equation (10.1-34) ε k+1° L-1 should be ε k+ l ° L-1 20. Page 646, Figure 10.3-5 delete the ²hat³ from I(z) 21. Page 651, 4 lines from the top replace ²over³ with ²about³ 22. Page 651, 2 lines above Section 10.6 ²Turob³ should be ²Turbo³ 23. Page 673, Figure 11.1-6 Lower delay line elements: z 1 should be z -1 24. Page 750, Figure 13.2-8 Replace ²adders³ with ²multipliers³ 25. Page 752, Figure 13.2-9 Replace ²adders³ with multipliers³ 26. Page 856, Equation (14.6-5) Replace K with k 27. Page 885, Figure 14.7-7 The ²Input³ should be 02310

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28. Page 894, Problem 14.16 r 1 = h 1 s 1 + h 2 s 2 + n 1 r 2 = h 1 s 2 * + h 2 s 1 * + n 2 29. Page 895 Delete 2 k from the expression on the error probability 30. Page 915, top of page (15.47) should be (15.3-47) 31. Page 925, 6 lines form top T 0 should be T p 32. Page 935 a) top of page: r 1 = b 1 sqrt( ε 1 ) + b 2 ρ sqrt ( ε 2 ) + n 1 r 2 = b 1 ρ sqrt( ε 1 ) + b 2 sqrt ( ε 2 ) + n 2 b) Problem 15.8, last equation delete factor of l/2 c) Problem 15.9, first equation delete comma after b 2 =1 33. Page 936, first equation at top of page, second term should be: l n cosh { [ r 2 sqrt ( ε 2 ) ° b 1 ρ sqrt ( ε 1 ε 2 ) ]/ N 0 }
34. Page 936, second equation from top of page divide each of the arguments in the cosh function by N 0 35. Page 936, Problem 15.10 should be η k = [ ] 2 36. Page 936, Problem 15.11 the last term in the equation should be: (1/2) Q { sqrt [ ε 1 + ε 2 -2 ׀ρ׀ sqrt ( ε 1 ε 2 ) ] } N 0 /2

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CHAPTER 2 Problem 2.1 : P ( A i ) = 3 j =1 P ( A i , B j ) , i = 1 , 2 , 3 , 4 Hence : P ( A 1 ) = 3 j =1 P ( A 1 , B j ) = 0 . 1 + 0 . 08 + 0 . 13 = 0 . 31 P ( A 2 ) = 3 j =1 P ( A 2 , B j ) = 0 . 05 + 0 . 03 + 0 . 09 = 0 . 17 P ( A 3 ) = 3 j =1 P ( A 3 , B j ) = 0 . 05 + 0 . 12 + 0 . 14 = 0 . 31 P ( A 4 ) = 3 j =1 P ( A 4 , B j ) = 0 . 11 + 0 . 04 + 0 . 06 = 0 . 21 Similarly : P ( B 1 ) = 4 i =1 P ( A i , B 1 ) = 0 . 10 + 0 . 05 + 0 . 05 + 0 . 11 = 0 . 31 P ( B 2 ) = 4 i =1 P ( A
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