Meaning
An alteration of the input perturbation signal occurs as it propagates through an electrochemical system, causing incorrect impedance calculations due to nonlinear responses or instrumentation limits. In battery diagnostics, transfer function distortion introduces non-physical artifacts that invalidate Kramers-Kronig relation checks. This effect is most severe when testing cells with very low resistance.
Phase Error
Time delays between the current excitation and the voltage response can introduce false capacitive or inductive loops. When transfer function distortion occurs, the high-speed analog-to-digital converters fail to sample the signals at the exact same instant. This timing mismatch rotates the impedance vector and corrupts the high-frequency measurements.
Perturbation Amplitude
Applying too large a signal can push the electrochemical system out of its linear regime. The excitation signal must be kept small enough to maintain a linear voltage-to-current relationship while remaining large enough to overcome ambient electrical noise. Managing this amplitude minimizes transfer function distortion and guarantees that the calculated impedance values remain independent of the signal strength.
Filtering Protocol
Using digital signal processing filters helps remove noise but can sometimes introduce unwanted phase shifts. The measurement electronics must compensate for these digital filter characteristics to prevent systemic transfer function distortion during rapid frequency sweeps. Real-time correction algorithms ensure that the recorded phase and magnitude correspond to the actual electrochemical behavior of the battery under test.
This compensation is necessary for developing accurate aging models where small changes in the double-layer capacitance must be tracked over thousands of cycles.