The LOT: Transform coding without blocking effects

HS Malvar, DH Staelin - IEEE Transactions on Acoustics …, 1989 - ieeexplore.ieee.org
HS Malvar, DH Staelin
IEEE Transactions on Acoustics, Speech, and Signal Processing, 1989ieeexplore.ieee.org
An exact derivation of an optimal lapped orthogonal transform (LOT) is presented. The
optimal LOT is related to the discrete cosine transform (DCT) in such a way that a fast
algorithm for a nearly optimal LOT is derived. Compared to the DCT, the fast LOT requires
about 20-30% more computations, mostly additions. An image coding example
demonstrates the effectiveness of the LOT in reducing blocking effects; the LOT actually
leads to slightly smaller signal reconstruction errors than does the DCT.<>
An exact derivation of an optimal lapped orthogonal transform (LOT) is presented. The optimal LOT is related to the discrete cosine transform (DCT) in such a way that a fast algorithm for a nearly optimal LOT is derived. Compared to the DCT, the fast LOT requires about 20-30% more computations, mostly additions. An image coding example demonstrates the effectiveness of the LOT in reducing blocking effects; the LOT actually leads to slightly smaller signal reconstruction errors than does the DCT.< >
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