DocumentCode :
1487426
Title :
Recursive discrete cosine transforms with selectable fixed-coefficient filters
Author :
Yang, Jar-Ferr ; Fan, Chih-Peng
Author_Institution :
Dept. of Electr. Eng., Nat. Cheng Kung Univ., Tainan, Taiwan
Volume :
46
Issue :
2
fYear :
1999
fDate :
2/1/1999 12:00:00 AM
Firstpage :
211
Lastpage :
216
Abstract :
In this work, 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 fitters achieve lower roundoff errors than the nominal variable-coefficient ones for computing DCTs in finite-word-length machines
Keywords :
discrete cosine transforms; filtering theory; recursive filters; roundoff errors; fixed-coefficient multipliers; fixed-coefficient recursive structures; power-of-two length; recursive DCT; recursive discrete cosine transforms; roundoff errors; selectable fixed-coefficient filters; Algorithm design and analysis; Digital filters; Discrete cosine transforms; Discrete transforms; Filtering; Image coding; Roundoff errors; Signal processing algorithms; Speech analysis; Very large scale integration;
fLanguage :
English
Journal_Title :
Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on
Publisher :
ieee
ISSN :
1057-7130
Type :
jour
DOI :
10.1109/82.752956
Filename :
752956
Link To Document :
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