Method, system, and program for fractionally shifting data subject to a previous transformation

A system for performing a fractional shift of transformed data, comprising:

• a non-volatile storage;
• at least one fractional shift transform matrix represented in the non-volatile storage that is capable of fractionally shifting data by a shift factor;
• means for receiving the transformed data;
• means for applying the at least one fractional shift transform matrix to the transformed data to generate output transformed data that is fractionally shifted by the shift factor without inverse transforming the transformed data.

An article of manufacture including code for performing a fractional shift of transformed data, wherein the code causes operations to be performed, the operations comprising:

• providing at least one fractional shift transform matrix in non-volatile storage that is capable of fractionally shifting data by a shift factor;
• receiving the transformed data;
• and
• applying the at least one fractional shift transform matrix to the transformed data to generate output transformed data that is fractionally shifted by the shift factor without inverse transforming the transformed data.