Abstract In this paper, the uniform threshold function of waveshrink is build.Cornputationally efficient formulas for computing bias, variance and risk of uniform threshold function are derived. These formulas provide a new way of understanding how waveshrink works. On the basis of this, the relation of bias, variance and risk of uniform threshold function(u=l,2,∞) with threshold value and wavelet coefficients are compared. These comparisons give the performance of waveshrink in finite sample situations.