Digital communications

Coding 4/1/2022 HW 2 Due date 10/1/2022. Consider the two dimensional product code example as the one described in section 8.4.3, as shown in the figure below. The transmitted codeword symbols are represented by C = ddy dz da Pan Pan P1 P2v The received codeword symbols are represented by r, where r is given by r = C + n, wehre n is zero mean white gaussin noise with variance o; = 0.25. Assume the data C = d, ddz d, is given by 0110. The data is read horizontally. a. write transmitted codeword sysmbols using polar format. b. assume the received codeword symbols are given by r = -0.80 0.25 1.2 - 0.10 1.6 - 0.1 2.0 0.20 Calculate the values of the soft outputs for the data bits for the following two cases: case 1: after one horizontal and one vertical decoding. Case It: after two horizontal and two vertical decoding. C. how many errors have been corrected in both cases, d1 d2 Pih d3 d 4 Pan P1v2 Coding 4/1/2022 HW 2 Due date 10/1/2022. Consider the two dimensional product code example as the one described in section 8.4.3, as shown in the figure below. The transmitted codeword symbols are represented by C = ddy dz da Pan Pan P1 P2v The received codeword symbols are represented by r, where r is given by r = C + n, wehre n is zero mean white gaussin noise with variance o; = 0.25. Assume the data C = d, ddz d, is given by 0110. The data is read horizontally. a. write transmitted codeword sysmbols using polar format. b. assume the received codeword symbols are given by r = -0.80 0.25 1.2 - 0.10 1.6 - 0.1 2.0 0.20 Calculate the values of the soft outputs for the data bits for the following two cases: case 1: after one horizontal and one vertical decoding. Case It: after two horizontal and two vertical decoding. C. how many errors have been corrected in both cases, d1 d2 Pih d3 d 4 Pan P1v2