# BER Improvement of DS-CDMA with Rake Receiver Using Multipath Fading Channel

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5 Figure 4. Uncoded Transmission System ---- (3) Where, Ru = is the uncoded input bit rate to the channel. Now the Coded BERc is given as The Bit Error Probability (BEPu) for this system using SGA is given as - (4) -- (1) Where, Mc = is the number of interfering cells L = is the multipath per user, each of them independently faded with Rayleigh statistics. K = is the number of users. NC = is the spreading factor. In the case of uncoded transmission, the output Bit Error Rate ( BERu ) is equal to the BEPu. Thus above equation gives the Bit Error Rate (BERu ) under perfect power control. Fiure 5 shows the Coded Transmission System. In this new bit rate denoted by Rc, is generated by encoder which is transmitted along the channel. At the receiver the bit error probability following detection is denoted by BEPc and the Bit Error Rate at the output of decoder is given by BERc. CONCLUSIONS Rake receiver is used for CDMA technique rather than using conventional CDMA with matched filter. Rake receiver is used to minimize the BER and obtain maximum SNR. The rake receiver is used in CDMA to decrease BER due to multipath interference. The BER performance will also increase, if increase the number of fingers in Rake Receiver. Compared the BER of the system for different path numbers over Rake. APPENDIX Few results that has been observed are shown below. Figure 5 Coded Transmission System In this we use convolutional coding scheme at the transmitter and associated viterbi decoding scheme at the receiver. There are three parameters which define the convolutional code; these are Code Rate, Constraint length and Generator polynomial. In this the code rate r is 1/2, Constraint length C L is 3 and Generator polynomial is [7, 5] 8 = [111,101] 2. The Transfer Function of a this convolutional code is given by Figure A.1. PN Sequence Code (2) Here, The Exponent of D on a branch describe the Hamming weight of encoder output corresponding to that branch, Exponent of J is the length of each branch and Exponent of N denotes the number of 1 s in the information sequence for that path. The free distance d free of a convolutional code is the minimum Hamming distance between any two code sequences. In this the free distance d free = 5. The coded BEPc is given by Figure A.2. DSSS Transmitter. 5

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