Çetin, A. EnisTofighi M.2016-02-082016-02-0820151053-5888http://hdl.handle.net/11693/21081In this lecture note, we describe a wavelet domain denoising method consisting of making orthogonal projections of wavelet (subbands) signals of the noisy signal onto an upside down pyramid-shaped region in a multidimensional space. Each horizontal slice of the upside down pyramid is a diamond shaped region and it is called an -ball. The upside down pyramid is called the epigraph set of the -norm cost function. We show that the method leads to soft-thresholding as in standard wavelet denoising methods. Orthogonal projection operations automatically determine the soft-threshold values of the wavelet signals. © 2015 IEEE.EnglishCost functionsDenoising methodsHorizontal slicesMulti-dimensional spaceOrthogonal projectionSoft thresholdSoft thresholdingWavelet denoisingWavelet denoising methodWavelet analysisArticle10.1109/MSP.2015.2440051