We extend the idea of iterative schemes from the single-spin to the two-spin-case. As an application we derive a new series of broadband heteronuclear decoupling sequences, called the DIPSI sequences. They give better quality decoupling of protons from carbon-13 than previous sequences like WALTZ-16 when there is scalar coupling among the protons. In the absence of such coupling, the DIPSI sequences offer the same high standard of performance as WALTZ-16, but over somewhat smaller bandwidths.