Hi Scilab users, I want to analyse a microphone recording of the sound of a bell or gong.Given ia the equidistantly sampled sound pressure y(t) after a stroke for 10 s.
The ansatz
y=sum( A_i*exp(-d_i*t))*cos(2*%pi*f_i+alpha_i) ) for i=1,2,...5 or more is assumed to approximate the signal where A_i, d_i, f_i, and alpha_i are the unknown amplitudes, danping factors, frequencies, and phase angles of y. The analysis may be restricted to the lowest 5 frequencies fi. Does Scilab offer a method for this? FFT seems not to be adequate because the signal is aperiodic (silence after 10 s). Is nonlinear regression (with whichI'm fmiliar) a promising way. The lowest frequencies can probably be concluded from a short time DFT where damping is negligible. Kind regards Jens
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