  We introduce a modified version of a standard power spectrum `peak-bagging'
technique which is designed to gain some of the advantages that fitting the
entire low-degree p-mode power spectrum simultaneously would bring, but without
the problems involved in fitting a model incorporating many hundreds of
parameters. Employing Monte-Carlo simulations we show that by using this
modified fitting code it is possible to determine the true background level in
the vicinity of the p-mode peaks. In addition to this we show how small biases
in other mode parameters, which are related to inaccurate estimates of the true
background, are also consequently removed.
