An integer cosine transforms of order -4 and -8 with fast algorithms has been constructed. The proposed transforms is orthogonal, maintains a one-norm, with the normalization error not exceeding 0.23%, and very close to DCT type II. A new quantization approach is proposed, using adaptive parameters that depend on the norm of the transform. The proposed integer cosine transform of order-8 for adaptive quantization parameters is 25% faster than the well-known algorithm from H.265, taking into account the computational complexity of quantization and normalization.
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