  We combine the observable-based formalism (KMOC), the analytic properties of
the scattering amplitude, generalised unitarity and the heavy-mass expansion
with a newly introduced IBP reduction for Fourier integrals, to provide an
efficient framework for computing scattering waveforms. We apply this framework
to the scattering of two charged massive bodies in classical electrodynamics.
Our work paves the way for the computation of the analytic one-loop waveform in
General Relativity.
