Conventional SAW convolvers rely on the transverse-vertical polarisation field induced by crystal nonlinearity in the presence of two contraflow input waves. The letter presents results for single-track SAW convolvers fabricated on LiNbO3 using the transverse-horizontal (in-plane) electric polarisation. The new electrode arrangement involved reduces the possibility of unwanted 'fold-over convolution from fabrication defects and increases design flexibility.