| Summary: | 碩士 === 大同大學 === 資訊工程學系(所) === 96 === Transform-based signal representation is the technique that transforming signal to transform domain to let the signal's features be more obvious and be represented efficiently. It use as minimum number of weighted basis functions as possible to represent signal. According to the orthogonal transform method employing single transform has the limitation of fixed basis functions. The non-orthogonal method mixed transforms to reach the goal. However, the mixed-transform method have burden on computational complexity.
Yan studied in the spectrum, and proposed an algorithm that using single transform applied Muller's method to find more dominant basis functions to represent signal. The performance is better than mixed-transform method, even than single transform method. But in order to compute the most dominant component by Muller's method takes much transform operations.
In this thesis, a new method to improve Yan's algorithm has proposed. We derive sinc-like function to fit into the spectrum of the practical signal and extract it as the transform coefficient to represent. The performance is nearly equal to Yan's algorithm and the complexity is simplified as our expectation.
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