The karhunen-loève transform (klt) is often used in data decorrelation and dimensionality reduction. Due to its characteristic of energy compression in few components, there are important applications of klt in the context of image compression. However, its use in real applications is impossible due to the high computational cost required to calculate each input signal. In this context, the present invention proposes a low computational version for klt by applying the signal function to the klt-induced matrix elements. we call the proposed transform signaled klt (sklt). Emphasis is placed on length 8 transforms because of the use of this length of transforms in image coding, as in the jpeg standard. sklt was numerically evaluated by coding and total distance measurements for the exact klt.
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