  Regularisation allows one to handle ill-posed inverse problems. Here we focus
on discrete unfolding problems. The properties of the results are characterised
by the consistency between measurements and unfolding result and by the
posterior response matrix. We introduce a novel regularisation scheme based on
a discrete-valued penalty function and compare its performance to that of a
simple cutoff-regularisation. The discrete-valued penalty function does not
require a regularisation parameter that needs to be adjusted on a case-by-case
basis. In toy studies very satisfactory results are obtained.
