The frequency-domain filtered single-carrier (SC) signal transmission can achieve improved bit error rate (BER) performance due to additional frequency diversity gain while keeping a lower peak-to-average power ratio (PAPR) property than orthogonal frequency division multiplexing (OFDM). In this paper, we extend our recently proposed frequency-domain block signal detection (FDBD) with MLD employing QR decomposition and M-algorithm (QRM-MLD) to the frequency-domain filtered SC block transmissions. QR decomposition is applied to a concatenation of the transmit filter, propagation channel, and discrete Fourier transform (DFT). We evaluate BER and throughput performances by computer simulation. From performance evaluation, we discuss how the filter roll-off factor affects the achievable BER and throughput performances and show that as the filter roll-off factor increases, the required number of surviving symbol-candidates in the M-algorithm can be reduced.