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Efficient Room Impulse Response Estimation using an Optimal Transport Framework

Paskevicius, Tadas LU (2025) In Master’s Theses in Mathematical Sciences BERM01 20251
Mathematics (Faculty of Sciences)
Abstract (Swedish)
The room impulse response (RIR) is an important function describing how sound reflects and propagates in a room. The inverse problem of estimating the impulse response from source and measurement signals is often of interest in various audio applications, but can become ill-posed if there is not enough information. Using regularization, one can impose prior physicality assumptions to the estimator to make the problem more well posed. Recently, it has been shown that one may use an optimal transport framework to incorporate an entire RIR as a prior for the estimator, although doing so will typically increase the overall computational complexity. In this thesis, we address this problem and examine how one can reformulate the problem so that... (More)
The room impulse response (RIR) is an important function describing how sound reflects and propagates in a room. The inverse problem of estimating the impulse response from source and measurement signals is often of interest in various audio applications, but can become ill-posed if there is not enough information. Using regularization, one can impose prior physicality assumptions to the estimator to make the problem more well posed. Recently, it has been shown that one may use an optimal transport framework to incorporate an entire RIR as a prior for the estimator, although doing so will typically increase the overall computational complexity. In this thesis, we address this problem and examine how one can reformulate the problem so that one may efficiently estimate the RIR using an optimal transport prior. (Less)
Please use this url to cite or link to this publication:
author
Paskevicius, Tadas LU
supervisor
organization
course
BERM01 20251
year
type
H2 - Master's Degree (Two Years)
subject
publication/series
Master’s Theses in Mathematical Sciences
report number
LUNFBV-3007-2025
ISSN
1404-6342
other publication id
2025:E94
language
English
id
9209826
date added to LUP
2025-10-02 16:28:22
date last changed
2025-10-02 16:28:22
@misc{9209826,
  abstract     = {{The room impulse response (RIR) is an important function describing how sound reflects and propagates in a room. The inverse problem of estimating the impulse response from source and measurement signals is often of interest in various audio applications, but can become ill-posed if there is not enough information. Using regularization, one can impose prior physicality assumptions to the estimator to make the problem more well posed. Recently, it has been shown that one may use an optimal transport framework to incorporate an entire RIR as a prior for the estimator, although doing so will typically increase the overall computational complexity. In this thesis, we address this problem and examine how one can reformulate the problem so that one may efficiently estimate the RIR using an optimal transport prior.}},
  author       = {{Paskevicius, Tadas}},
  issn         = {{1404-6342}},
  language     = {{eng}},
  note         = {{Student Paper}},
  series       = {{Master’s Theses in Mathematical Sciences}},
  title        = {{Efficient Room Impulse Response Estimation using an Optimal Transport Framework}},
  year         = {{2025}},
}