A Rayleigh block-fading multiple-input multiple-output (MIMO) channel with channel state information (CSI) available neither to the transmitter nor to the receiver is considered. A lower bound on the capacity is formulated based on a successive decoding (SD) scheme. An analytical expression of the lower bound is derived in the large-system limit, by using the replica method. Furthermore, the achievable rate of the linear minimum mean-squared error (LMMSE) receiver with SD is also evaluated in the large-system limit. The lower bound is superior to the lower bound derived by Hassibi and Hochwald for all signal-to-noise ratios (SNRs). © 2010 IEEE.