This is a preview. Log in through your library . Abstract The problem of reconstructing a piecewise constant function from a finite number of its Fourier coefficients perturbed by noise is considered.

Consider a sequence of real data points X₁, . . . , Xn with underlying means θ*₁, . . . ,θ*n. This paper starts from studying the setting that θ*i is both piecewise constant and monotone as a function ...