### Abstract

Original language | English |
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Patent number | 6343304 |

Publication status | Published - 1800 |

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### Cite this

*6343304*).

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*Apparatus with selective fixed-coefficient filter for performing recursive discrete cosine transforms*, Patent No. 6343304.

**Apparatus with selective fixed-coefficient filter for performing recursive discrete cosine transforms.** / Yang, Jar-Ferr (Inventor).

Research output: Patent

TY - PAT

T1 - Apparatus with selective fixed-coefficient filter for performing recursive discrete cosine transforms

AU - Yang, Jar-Ferr

PY - 1800

Y1 - 1800

N2 - An apparatus with new fixed-coefficient recursive structures for computing discrete cosine transforms with the power-of-two length is disclosed. The fixed-coefficient recursive structures are developed from exploration of periodicity embedded in transform bases, whose indices can form a complete residue system or a complete odd residue system. Distinctively,we found that properly selected fixed-coefficient filters achieve lower round-off errors than the nominal variable-coefficient ones for computing DCTs in finite-word-length machines.

AB - An apparatus with new fixed-coefficient recursive structures for computing discrete cosine transforms with the power-of-two length is disclosed. The fixed-coefficient recursive structures are developed from exploration of periodicity embedded in transform bases, whose indices can form a complete residue system or a complete odd residue system. Distinctively,we found that properly selected fixed-coefficient filters achieve lower round-off errors than the nominal variable-coefficient ones for computing DCTs in finite-word-length machines.

M3 - Patent

M1 - 6343304

ER -