Synthetic Seismic Wave Generation

Resource Overview

Seismic waves can be synthesized using trigonometric series approximation with programmable amplitude and frequency modulation

Detailed Documentation

In seismology, seismic waves can be synthesized using trigonometric series. This method employs a combination of sine and cosine functions assembled into a composite waveform that approximates seismic wave characteristics. The implementation typically involves defining amplitude coefficients, phase angles, and frequency components through arrays or matrices in programming environments like MATLAB or Python. A key advantage of trigonometric series synthesis is the adjustable function coefficients that allow generation of various waveform types through parameter modulation. This approach also facilitates the study of other geophysical waveforms such as electromagnetic and acoustic waves, serving as a versatile mathematical framework. Code implementation generally involves Fourier series decomposition, where developers can manipulate harmonic components using frequency-domain transformations and inverse Fourier algorithms to control waveform properties.