Signal Processing based on Stable radix-2 DCT I-IV Algorithms having Orthogonal Factors
2016 ◽
Vol 31
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pp. 362-380
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Keyword(s):
This paper presents stable, radix-2, completely recursive discrete cosine transform algorithms DCT-I and DCT-III solely based on DCT-I, DCT-II, DCT-III, and DCT-IV having sparse and orthogonal factors. Error bounds for computing the completely recursive DCT-I, DCT-II, DCT-III, and DCT-IV algorithms having sparse and orthogonal factors are addressed. Signal flow graphs are demonstrated based on the completely recursive DCT-I, DCT-II, DCT-III, and DCT-IV algorithms having orthogonal factors. Finally image compression results are presented based on the recursive 2D DCT-II and DCT-IV algorithms for image size 512 by 512 pixels with transfer block sizes 8 by 8, 16 by 16, and 32 by 32 with 93.75% absence of coefficients in each transfer block.
2010 ◽
Vol 47
(4)
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pp. 393-403
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Keyword(s):
1967 ◽
Vol 13
(1)
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pp. 119-120
2010 ◽
Vol 43
(21)
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pp. 138-145
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1990 ◽
Vol 37
(5)
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pp. 594-607
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Keyword(s):
Keyword(s):