Theory of matching pursuit

PMU-Based Matching Pursuit Method for Black-Box Modeling of Synchronous Generator

This paper presents the application of the matching pursuit method to model synchronous generator. This method is useful for online analysis. In the proposed method, the field voltage is considered as input signal, while the terminal voltage and active power of the generator are output signals. Usually, the difference equation with a second degree polynomial structure is used to estimate the co...

تصحیح برونراند نرمال بدون کشیدگی با استفاده از الگوریتم Matching-Pursuit

A fast orthogonal matching pursuit algorithm

The problem of optimal approximation of members of a vector space by a linear combination of members of a large overcomplete library of vectors is of importance in many areas including image and video coding, image analysis, control theory, and statistics. Finding the optimal solution in the general case is mathematically intractable. Matching pursuit, and its orthogonal version, provide greedy...

Fractal image coding using rate-distortion optimized matching pursuit

Matching pursuit is a general and exible method for solving an optimization problem that is of interest in signal analysis, coding, control theory and statistics. In this paper, principles of rate-distortion optimal coding are used in combination with matching pursuit algorithm to obtain an enhanced fractal image coding method. The advantages of using such a method over traditional fractal imag...

High Resolution Pursuit for Feature Extraction

Recently, adaptive approximation techniques have become popular for obtaining parsimonious representations of large classes of signals. These methods include method of frames, matching pursuit, and, most recently, basis pursuit. In this work, high resolution pursuit (HRP) is developed as an alternative to existing function approximation techniques. Existing techniques do not always efficiently ...

On the statistics of matching pursuit angles

Matching Pursuit decompositions have been employed for signal coding. For this purpose, Matching Pursuit coefficients need to be quantized. However, their behavior has been shown to be chaotic in some cases; posing difficulties to their modeling and quantizer design. In this work, a different approach is presented. Instead of trying to model the statistics of Matching Pursuit coefficients, the ...