Inverse problems of Vandermonde type systems have been solved using the discrete wavelet transform. The inverse matrices of the transformed subsystems were calculated, thereby locating the largest well-conditioned submatrix. The reduced system was solved and the solution was inversely transformed. Results were compared between two different wavelet basis functions, indicating that Daubechies-4 wavelets lead to much more accurate solutions than Haar wavelets. Three simple techniques for eliminating another systematic noise are also proposed to further improve the accuracy of the final solutions.