  In this article, we introduce a methodology based on an analytical model of a
damped harmonic oscillator subject to random forcing to generate transient
gravitational wave signals. Such a model incorporates a simulated linear
high-frequency component that mirrors the growing characteristic frequency over
time observed in numerical simulations of core-collapse supernova gravitational
wave signals. Unlike traditional numerical simulations, the method proposed in
this study requires minimal computational resources, which makes it
particularly advantageous for tasks such as data analysis, detection, and
reconstruction of gravitational wave transients. To verify the physical
accuracy of the generated signals, they are compared against the amplitude
spectral of current LIGO interferometers and a 3D numerical simulation of a
core-collapse supernova gravitational wave signal from the Andresen et al. 2017
model s15.nr. The results indicate that this approach is effective in
generating scalable signals that align with LIGO interferometric data, offering
potential utility in various gravitational wave transient investigations.
