A method, the improved generalized composite calculation (iGCC) is proposed for computing ferrite core losses. This method extends the composite waveform hypothesis (CWH) to arbitrary signals by using a time-varying local equivalent frequency that describes the rate of change of the magnetic flux density. The advantages of this method include the ability to model materials in a wide frequency range, especially signals with extreme duty cycles. Measurements conducted with the EPCOS TDK N87 ferrite material (with triangular and trapezoidal signals) show a significant improvement over the state of the art.