Methods and apparatus are provided for reducing steering wheel vibrations in electronic power steering systems. The apparatus includes a processor and performs a method that estimates an average angular wheel speed of at least one wheel of the vehicle; determines an average wheel angle from the average angular wheel speed; generates sine and cosine functions of the average angular wheel angle; processes the sine and cosine functions with a steering wheel torque signal received from a torque sensor to extract amplitude components of at least one of the sine and cosine functions; reconstructs the sine and cosine functions using the steering wheel torque signal; combines the sine and cosine functions to provide a control signal, and controls the EPS system via the control signal to attenuate smooth road shake vibrations in a steering wheel of the vehicle.