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Matriz de Descomposición WaveletThe following two recursion relations can be found for thecoefficients:sjk=n = 2 M∑n = 1hnsj − 1jn + 2 k − 2 , d k =n = 2 M∑n = 1gnsj − 1n + 2 k − 2The decomposition matrix embodied in these two equationsis denoted byj , j + 1LetjP N×Ns contain the scaling function coefficients at scale j.Therefore P maps s j onto s j+1 and d j+1 ::Pj,j+1N×N:s⎢⎣d[ ]⎡ j+1 ⎤s → ⎥⎦jj+1Note that vectors at scale j+1 arehalf as long as vectors at scale j.The decomposition or representation of a any function in waveletbasis is done in the following form: