Non linear modelling

System identification plays an important role in the field of digital audio systems. While linear systems can be fully characterized by their impulse responses in the time domain and their transfer functions in the frequency domain, nonlinear models have to be introduced for modelling most real-world devices. Considering this scenario, several efforts have been made in order to emulate the acoustic behaviours of nonlinear electroacoustic devices employing digital signal processing techniques (dynamic convolution, Volterra series expansion and diagonal Volterra kernels, Hammerstein and Wiener models). In this field, A3LAB research is mainly focused on the study of nonlinear models working in real-time scenarios (nonlinear model based on Legendre polynomials and Catmull-Rom cubic splines). In particular, the analysis is oriented towards solutions able to online identification of nonlinear systems, e.g., loudspeaker modeling.

Related pubblications

1. L Romoli, M Gasparini, S Cecchi, A Primavera and F Piazza. Adaptive Identification of Nonlinear Models Using Orthogonal Nonlinear Functions. In Proc. 48th Audio Engineering Society Conference . 2012, . BibTeX

   @inproceedings{romoli-aes-12,
   	title = "{Adaptive Identification of Nonlinear Models Using Orthogonal Nonlinear Functions}",
   	author = "Romoli, L. and Gasparini, M. and Cecchi, S. and Primavera, A. and Piazza, F.",
   	booktitle = "Proc. 48th Audio Engineering Society Conference",
   	volume = "",
   	address = "Monaco, Germany",
   	month = "Sep.",
   	year = 2012,
   	pages = ""
   }
   

2. M Gasparini, A Primavera, L Romoli, S Cecchi and F Piazza. Audio System Identification based on Hammerstein Models using Cubic Splines. Proc. 134th Audio Engineering Society Convention, May 2013. BibTeX

   @misc{gasparini-aes134-13,
   	title = "{Audio System Identification based on Hammerstein Models using Cubic Splines}",
   	author = "Gasparini, M. and Primavera, A. and Romoli, L. and Cecchi, S. and Piazza, F.",
   	howpublished = "Proc. 134th Audio Engineering Society Convention",
   	address = "Rome, Italy",
   	month = "May",
   	year = 2013
   }
   

3. M Gasparini, L Romoli, S Cecchi and F Piazza. Identification of Hammerstein model using Cubic Splines and FIR filtering. In Proc. 8th Int'l Symposium on Image and Signal Processing and Analysis . 2013, . BibTeX

   @inproceedings{gasparini-ispa-13,
   	title = "{Identification of Hammerstein model using Cubic Splines and FIR filtering}",
   	author = "Gasparini, M. and Romoli, L. and Cecchi, S. and Piazza, F.",
   	booktitle = "Proc. 8th Int'l Symposium on Image and Signal Processing and Analysis",
   	volume = "",
   	address = "Trieste, Italy",
   	month = "Sep.",
   	year = 2013,
   	pages = ""
   }
   

4. L Romoli, S Cecchi, B Bank, M Gasparini and F Piazza. Application of common-pole parallel filters to nonlinear models based on orthogonal functions. In Proc. 136th Audio Engineering Society Convention . 2014, . BibTeX

   @inproceedings{romoli-aes136-14,
   	title = "{Application of common-pole parallel filters to nonlinear models based on orthogonal functions}",
   	author = "Romoli, L. and Cecchi, S. and Bank, B. and Gasparini, M. and Piazza, F.",
   	booktitle = "Proc. 136th Audio Engineering Society Convention",
   	volume = "",
   	address = "Berlin, Germany",
   	month = "Apr.",
   	year = 2014,
   	pages = ""
   }
   

5. A Carini, S Cecchi, M Gasparini and G L Sicuranza. Introducing Legendre Nonlinear Filters. In Proc. IEEE International Conference on Acoustics, Speech and Signal Processing. May 2014, . BibTeX

   @inproceedings{carini-icassp-14,
   	title = "{Introducing Legendre Nonlinear Filters}",
   	author = "Carini, A. and Cecchi, S. and Gasparini, M. and Sicuranza, G. L.",
   	booktitle = "Proc. {IEEE} International Conference on Acoustics, Speech and Signal Processing",
   	address = "Florence, Italy",
   	year = 2014,
   	month = "May",
   	pages = ""
   }
   

6. A Carini, S Cecchi, L Romoli and G L Sicuranza. Perfect Periodic Sequences for Legendre Nonlinear Filters. In Proc. 22nd European Signal Processing Conference . 2014, . BibTeX

   @inproceedings{carini-eusipco-14,
   	title = "{Perfect Periodic Sequences for Legendre Nonlinear Filters}",
   	author = "Carini, A. and Cecchi, S. and Romoli, L. and Sicuranza, G. L.",
   	booktitle = "Proc. 22nd European Signal Processing Conference",
   	volume = "",
   	address = "Lisbon, Portugal",
   	month = "Sep.",
   	year = 2014,
   	pages = "",
   	notes = "accepted for presentation"
   }