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Invertible integer DCT algorithms - MaRDI portal

Invertible integer DCT algorithms (Q1406574)

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scientific article; zbMATH DE number 1975008
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Invertible integer DCT algorithms
scientific article; zbMATH DE number 1975008

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    Invertible integer DCT algorithms (English)
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    4 September 2003
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    The paper presents two new algorithms for the integer DCT-II (discrete cosine transform) and integer DCT-IV of radix-2 length. Then it estimates the worst case error between the resulting vectors of the exact DCT and the corresponding integer DCT. Some numerical experiments for the integer DCT-II of length 8 and for the 2-dimensional integer DCT-II of size \(8\times 8\) are also presented.
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    discrete cosine transform
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    loseless coding
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    data compression
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    factorization of cosine matrix
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    lifting matrix
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    rounding-off
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    integer DCT
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    invertible integer DCT
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    worst case error
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    error estimate
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    numerical experiments
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