The optimal delay range for LIF is known to be around half of the order, in this interval the worst case being for odd order N and for even N. Furthermore, as experimentally noticed in [Laakso et al., 1996], the LIFs are passive filters (i.e. their gain is less than 1) when the delay verifies relation (7). This condition is necessary for applications which involve feedback loops since a non-passive component in a feedback loop may cause numerical instabilities. Finally for each value of delay, two different LIFs, resp. order and order , verify relation (7).