Method 519.7, Annex D of MIL-STD-810G, Environmental Engineering Considerations and Laboratory Tests, Change Notice 1 (MIL-STD-810G/CN1) outlines a prediction methodology for establishing a sine-on-random (SoR) structured spectrum that is intended to be representative of gunfire for use in cases in which there is an absence of field data. From that spectrum, the ramp modulated pulse (RMP) technique is proposed as a methodology to synthesize a time history with temporal characteristics that more realistically represent the temporal characteristics of gunfire than that of a SoR time history synthesized via classical SoR generation techniques. This paper provides an alternate technique to the RMP methodology presented in Method 519. The alternate technique is based on normalized exponentially weighted (NEW) time history generated via classical time domain techniques for a SoR vibration test. An outline of the NEW technique and an associated example are provided.