In this transactions brief, we propose new fixed-coefficient recursive structures for computing discrete cosine transforms with the power-of-two length. The fixed-coefficient recursive structures are developed by exploring the periodicity embedded in transform bases, whose indices can form a complete residue system or a complete odd residue system. After simple data manipulation, the proposed filtering structures requiring fixed-coefficient multipliers are better than the previous recursive methods which need general multipliers in filter realization. In particular, we found that the properly selected fixed-coefficient filters achieve lower roundoff errors than the nominal variable-coefficient ones for computing DCT's in finite-word-length machines.
|Number of pages||6|
|Journal||IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing|
|Publication status||Published - 1999 Feb|
All Science Journal Classification (ASJC) codes
- Signal Processing
- Electrical and Electronic Engineering