{'fraction_non_alphanumeric': 0.02442002442002442, 'fraction_numerical': 0.0, 'mean_word_length': 5.612903225806452, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
A robust state space model encompassing early-time transients for electromagnetic signal extrapolation

This paper presents a control systems methodology, based on the state space method (SSM), to derive rational transfer function models from time-domain simulated data. Unlike existing methods such as Prony's and pencil of functions, which discard a significant part of the early-time transient response due to instability in model extrapolation, the proposed SSM produces causal, stable, low-order parametric representations for the entire signal using a sequence that includes early-time transients. SSM is applied to model time-domain signatures of highly resonant circuits, such as notch filters and dielectric resonators, and it is shown that excellent model corroboration can be achieved using modest resources.