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This work studies the performance of a cooperative network which consists oftwo channel-coded sources, multiple relays, and one destination. Due tospectral efficiency constraint, we assume only one time slot is dedicated forrelaying. Conventional network coding based cooperation (NCC) selects the bestrelay which uses network coding to serve two sources simultaneously. Theperformance in terms of bit error rate (BER) of NCC, however, is not availablein the literature. In this paper, we first derive the closed-form expressionfor the BER of NCC and analytically show that NCC always achieves diversity oforder two regardless the number of available relays and the channel code.Secondly, motivated by a loss in diversity in NCC, we propose a novel relayingscheme based on partial relaying cooperation (PARC) in which two best relaysare selected, each forwarding half of the codeword to help one source.Closed-form expression for BER and system diversity order of the proposedscheme are derived. Analytical results show that the diversity order of PARC isa function of the operating signal-to-noise ratio (SNR) and the minimumdistance of the channel code. More importantly, full diversity order in PARCcan be achieved for practically operating finite SNRs with the proper channelcode. Finally, intensive simulations present a huge SNR gain of PARC over NCCand reference schemes without relay selection.

Finite-SNR Analysis of Partial Relaying with Relay Selection in Channel-coded Cooperative Networks