In this paper, a metric weighting scheme on a coded fractional sampling orthogonal frequency division multiplexing (FS OFDM) system is investigated. FS achieves path diversity with a single antenna through oversampling and subcarrier-based maximal ratio combining (MRC). Though the oversampling increases diversity order, correlation among noise components may deteriorate bit error rate (BER) performance. To clarify the relationship between the impulse response of the pulse shaping filter and the BER performance, five different pulse shaping filters are evaluated in the coded FS OFDM system. Numerical results obtained through computer simulation show that the metric weighting based on the Frobenius norm improves BER performance of the coded FS OFDM system.