The paper describes a method of generating approximately a quadrature signal from a given signal using a linear network comprising a tapped delay line. It is shown that a vestigial-sideband signal free from phase distortion can be produced by this means.An experimental version of the quadrature network described has been constructed, and the paper includes the results obtained using the network to produce a vestigial-sideband version of a 405-line television signal with a video bandwidth of 3 Mc/s.It is suggested that a high-power vestigial-sideband signal could be produced by this means with some saving in transmitter power.