Noise Reduction using Wavelet Transform and Singular Vector Decomposition

Signals do not exist without noise. It must be removed from the data for further data analysis. The search for efficient noise reduction methods is still going on. Wavelet Transform (WT) is a powerful tool for removal of noise from various signals. Combining WT with other noise reducing techniques may result in further reduction of noise. Similar to WT, Singular Vector Decomposition (SVD) is also an effective noise reduction tool. In this experiment, wavelet transform is used along with Singular Vector Decomposition (SVD) for noise reduction. The results of noise reduction using Wavelet transform and combination of SVD with WT are compared. Error between coefficients of WT of original signal and coefficients of noise added signal SVD along with WT is found to be less as compare to WT operated alone on noisy signal.