Transform domain filtering based on pipelining structure

The concept of transform domain filtering (TDF) is defined, and a pipelining structure is proposed as a means to implement it. TDF refers to filtering applied directly to transform domain data. The proposed structure consists of product blocks and an array of M adders, where M is the transform block length. The TDF output data can be obtained by summing the outputs of each product block. The product block in the proposed structure performs the product operation between an M×M matrix and an M-vector, which can be effectively implemented by using a distributed arithmetic structure of a systolic array structure. The proposed structure is simple, with localized interconnections, and is therefore suitable for VLSI implementations