We provide a system identification framework for the analysis of THz-transient data. The subspace identification algorithm for both deterministic and stochastic systems is used to model the time-domain responses of structures under broadband excitation. Structures with additional time delays can be modelled within the state-space framework using additional state variables. We compare the numerical stability of the commonly used least-squares ARX models to that of the subspace N4SID algorithm by using examples of fourth-order and eighth-order systems under pulse and chirp excitation conditions. These models correspond to structures having two and four modes simultaneously propagating respectively. We show that chirp excitation combined with the subspace identification algorithm can provide a better identification of the underlying mode dynamics than the ARX model does as the complexity of the system increases. The use of an identified state-space model for mode demixing, upon transformation to a decoupled realization form is illustrated. Applications of state-space models and the N4SID algorithm to THz transient spectroscopy as well as to optical systems are highlighted.
|Journal||Measurement Science and Technology|
|Publication status||Published - 2005|
- ultrafast measurements, spectroscopy, far infrared, spectral, discrimination, PROGRAMMABLE DISPERSIVE FILTER, FEMTOSECOND OPTICAL PULSES, FREQUENCY-RESPONSE DATA, FIBER BRAGG GRATINGS, WAVE-FORM GENERATION, STATE-SPACE MODELS, TERAHERTZ PULSES, LASER-PULSES, SPECTRAL, INTERFEROMETRY, CHIRP COMPENSATION