Methods and apparatus are provided for soft-decision maximum likelihood demodulation to decode a data vector transmitted in a multiple-input multiple-output (MIMO) communications channel. Soft-decision demodulators are disclosed that implement sphere decoding to reduce complexity of demodulation while preserving optimal performance. Candidate signal values associated with the transmitted data vector may be obtained and partitioned into signal bit groups. A sphere search may be performed over the candidate signal values within a search radius value to determine a smallest distance metric for each signal bit group. The search radius value may be updated based on a current smallest distance metric for each signal bit group. A log-likelihood ratio (LLR) may be computed from the determined smallest distance metrics for each signal bit group using a soft-decision demodulator.