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To create high-fidelity cosmic microwave background maps, current component separation methods rely on availability of information on different foreground components, usually through multi-band frequency coverage of the instrument. Internal…

Instrumentation and Methods for Astrophysics · Physics 2023-06-02 Guillermo F. Quispe Peña , Andrei V. Frolov

We consider a nonlinear filtering problem of multiscale non-Gaussian signal processes and observation processes with jumps. Firstly, we prove that the dimension for the signal system can be reduced by a homogenized approach. Secondly,…

Probability · Mathematics 2019-10-21 Huijie Qiao

Nonlinearities can be introduced into communication systems by the physical components such as the power amplifier, or during signal propagation through a nonlinear channel. These nonlinearities can be compensated by a nonlinear equalizer…

Signal Processing · Electrical Eng. & Systems 2019-05-15 Etsushi Yamazaki , Nariman Farsad , Andrea Goldsmith

The mean square error (MSE)-optimal estimator is known to be the conditional mean estimator (CME). This paper introduces a parametric channel estimation technique based on Bayesian estimation. This technique uses the estimated channel…

Signal Processing · Electrical Eng. & Systems 2025-11-24 Franz Weißer , Wolfgang Utschick

The discovery of non-linear causal relationship under additive non-Gaussian noise models has attracted considerable attention recently because of their high flexibility. In this paper, we propose a novel causal inference algorithm called…

Machine Learning · Statistics 2011-03-31 Makoto Yamada , Masashi Sugiyama , Jun Sese

This paper deals with linear equalization in massive multi-user multiple-input multiple-output (MU-MIMO) wireless systems. We first provide simple conditions on the antenna configuration for which the well-known linear minimum mean-square…

Information Theory · Computer Science 2018-11-12 Ramina Ghods , Charles Jeon , Gulnar Mirza , Arian Maleki , Christoph Studer

The paper introduces Diff-Filter, a multichannel speech enhancement approach based on the diffusion probabilistic model, for improving speaker verification performance under noisy and reverberant conditions. It also presents a new two-step…

Sound · Computer Science 2023-07-06 Sandipana Dowerah , Ajinkya Kulkarni , Romain Serizel , Denis Jouvet

Diffusion models have shown promising results in speech enhancement, using a task-adapted diffusion process for the conditional generation of clean speech given a noisy mixture. However, at test time, the neural network used for score…

Audio and Speech Processing · Electrical Eng. & Systems 2024-01-17 Bunlong Lay , Jean-Marie Lemercier , Julius Richter , Timo Gerkmann

Linear minimum mean square error (MMSE) detector has been shown to alleviate the noise amplification problem, resulting in the conventional zero-forcing (ZF) detector. In this paper, we analyze the performance improvement by the MMSE…

Information Theory · Computer Science 2009-12-10 Manar Mohaisen , KyungHi Chang

Binaural speech enhancement (BSE) aims to jointly improve the speech quality and intelligibility of noisy signals received by hearing devices and preserve the spatial cues of the target for natural listening. Existing methods often suffer…

Sound · Computer Science 2025-01-09 Jingyuan Wang , Jie Zhang , Shihao Chen , Miao Sun

Beamforming for multichannel speech enhancement relies on the estimation of spatial characteristics of the acoustic scene. In its simplest form, the delay-and-sum beamformer (DSB) introduces a time delay to all channels to align the desired…

Audio and Speech Processing · Electrical Eng. & Systems 2023-07-04 Annika Briegleb , Thomas Haubner , Vasileios Belagiannis , Walter Kellermann

In this Letter we analyze the benefit of digital compensation of fiber nonlinearity, where the digital signal processing is divided between the transmitter and receiver. The application of the Gaussian noise model indicates that, where…

Far-field speech recognition in noisy and reverberant conditions remains a challenging problem despite recent deep learning breakthroughs. This problem is commonly addressed by acquiring a speech signal from multiple microphones and…

Audio and Speech Processing · Electrical Eng. & Systems 2018-10-17 Zhong Meng , Shinji Watanabe , John R. Hershey , Hakan Erdogan

Multi-channel speech enhancement extracts speech using multiple microphones that capture spatial cues. Effectively utilizing directional information is key for multi-channel enhancement. Deep learning shows great potential on multi-channel…

Sound · Computer Science 2023-09-21 Jiahui Pan , Pengjie Shen , Hui Zhang , Xueliang Zhang

This paper explores enabling large language models (LLMs) to understand spatial information from multichannel audio, a skill currently lacking in auditory LLMs. By leveraging LLMs' advanced cognitive and inferential abilities, the aim is to…

Sound · Computer Science 2024-06-17 Changli Tang , Wenyi Yu , Guangzhi Sun , Xianzhao Chen , Tian Tan , Wei Li , Jun Zhang , Lu Lu , Zejun Ma , Yuxuan Wang , Chao Zhang

Many multichannel systems use a linear filter to retrieve a signal of interest corrupted by noise whose statistics are partly unknown. The optimal filter in Gaussian noise requires knowledge of the noise covariance matrix $\Sigma$ and in…

Signal Processing · Electrical Eng. & Systems 2021-08-30 Olivier Besson

Recently, the end-to-end training approach for neural beamformer-supported multi-channel ASR has shown its effectiveness in multi-channel speech recognition. However, the integration of multiple modules makes it more difficult to perform…

Audio and Speech Processing · Electrical Eng. & Systems 2021-07-07 Keyu An , Zhijian Ou

Nonlinear subspace clustering based on a feed-forward neural network has been demonstrated to provide better clustering accuracy than some advanced subspace clustering algorithms. While this approach demonstrates impressive outcomes, it…

Machine Learning · Computer Science 2024-08-28 Long Shi , Lei Cao , Zhongpu Chen , Badong Chen , Yu Zhao

In the following article we consider the numerical approximation of the non-linear filter in continuous-time, where the observations and signal follow diffusion processes. Given access to high-frequency, but discrete-time observations, we…

Numerical Analysis · Mathematics 2020-06-11 Ajay Jasra , Fangyuan Yu , Jeremy Heng

Tensor-based methods have been widely studied to attack inverse problems in hyperspectral imaging since a hyperspectral image (HSI) cube can be naturally represented as a third-order tensor, which can perfectly retain the spatial…

Computer Vision and Pattern Recognition · Computer Science 2022-01-05 Lianru Gao , Zhicheng Wang , Lina Zhuang , Haoyang Yu , Bing Zhang , Jocelyn Chanussot