The Emulation of Nonlinear Time-Invariant Audio Systems with Memory by Means of Volterra Series
When the linear and time-invariant assumptions are valid, measuring the impulse response of a system is an ideal way to capture its properties such that output with any input can be computed with convolution. Nonlinear systems with memory, for example musical instruments and vacuum tube, require an approach such as Volterra series. Measurement technique can capture the information of the kernels of the diagonal Volterra model for the system being measured. To demonstrate the efficiency of this theoretical formulation, a nonlinear device (Tube Screamer) was tested. The richness of its sound resides mainly in the harmonic Distortions.
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