Motion Compensated Prediction (MCP) has been a key factor in most advanced video compression schemes. For further reduction in the residual signal energy in B-frames, bidirectional prediction where two motion-compensated signals are superimposed has also been utilized in most prior video coding standards such as MPEG-2 or MPEG-4/AVC. Syntax changes and appropriate motion vector prediction that allows efficient use of multi-parameter MCP is described. The prediction signal is constructed by linearly combining the motion-compensated signals from each parameter (or motion vector).