Given two orthogonal code c' = [1, 1, 1,-1, 1,-1,-1,-1], and c? = [1,-1, 1, 1, 1,-1, 1, 1]. Assume senderl uses c', and sender2 uses c to perform spectrum spreading, respectively. a) First prove that they are orthogonal by showing that = 0 b) Assume the data input' = 1 arrives in sender 1, please perform spectrum spreading using c', and calculate the output' * , where m goes from 1 to 8. c) Given calculated and sent to the receiver, now in the receiver side, apply c in convolution with , using this formula ), and what value is the result? Is result in the receiver side having the same value as the input in sender1 ? Why or why not? d) Repeat sub-question b) and c) above with the data input in senderl changed to'= -1. What conclusion do you have this time, after you finish the calculation? e) Assume the data input ? = 1 arrives in sender 2, please perform spectrum spreading using c', and calculate the output ?*, where m goes from 1 to 8. f) Given calculated and sent to the receiver, now in the receiver side, apply c' in convolution with , using this formula), and what value is the result ? Is the result in the receiver side having the same value as the input din sender2 ? Why or why not? g) Repeat sub-question e) and f) above with the data input in sender2 changed to '= -1. What conclusion do you have this time, after you finish the calculation? Given two orthogonal code c' = [1, 1, 1,-1, 1,-1,-1,-1], and c? = [1,-1, 1, 1, 1,-1, 1, 1]. Assume senderl uses c', and sender2 uses c to perform spectrum spreading, respectively. a) First prove that they are orthogonal by showing that = 0 b) Assume the data input' = 1 arrives in sender 1, please perform spectrum spreading using c', and calculate the output' * , where m goes from 1 to 8. c) Given calculated and sent to the receiver, now in the receiver side, apply c in convolution with , using this formula ), and what value is the result? Is result in the receiver side having the same value as the input in sender1 ? Why or why not? d) Repeat sub-question b) and c) above with the data input in senderl changed to'= -1. What conclusion do you have this time, after you finish the calculation? e) Assume the data input ? = 1 arrives in sender 2, please perform spectrum spreading using c', and calculate the output ?*, where m goes from 1 to 8. f) Given calculated and sent to the receiver, now in the receiver side, apply c' in convolution with , using this formula), and what value is the result ? Is the result in the receiver side having the same value as the input din sender2 ? Why or why not? g) Repeat sub-question e) and f) above with the data input in sender2 changed to '= -1. What conclusion do you have this time, after you finish the calculation