Embodiments of the invention exploit cyclostationarity of linearly modulated signals, transmitted through fading channels, to provide robust blind and data-aided mobile speed estimators. Embodiments of the invention utilize at least two methods of cyclic-correlation- and cyclic-spectrum-based methods and extension to space-time speed estimation at the base station in macrocells. In comparison with background art methods, the new estimators of the embodiments of the invention can be used without any need for pilot tones, and are robust to additive stationary noise or interference of any color or distribution. In addition, embodiments of the invention can also be implemented blindly, which can increase the data throughput. Performance results of the estimators of the embodiments of the invention are illustrated via extensive Monte Carlo simulation results.