Overcomplete:Such a complete system is overcomplete if removal of a $\phi {j}$ from the system results in a system (i.e., ${\phi {i}}_((i\in J\backslash {j))}$) that is still complete.
In different research, such as signal processing and function approximation, overcompleteness can help researchers to achieve a more stable, more robust, or more compact decomposition than using a basis.[2]