Direction of Arrival with One Microphone, a few LEGOs, and Non-Negative Matrix Factorization

Conventional approaches to sound source localization require at least two microphones. It is known, however, that people with unilateral hearing loss can also localize sounds. Monaural localization is possible thanks to the scattering by the head, though it hinges on learning the spectra of the various sources. We take inspiration from this human ability to propose algorithms for accurate sound source localization using a single microphone embedded in an arbitrary scattering structure. The structure modifies the frequency response of the microphone in a direction-dependent way giving each direction a signature. While knowing those signatures is sufficient to localize sources of white noise, localizing speech is much more challenging: it is an ill-posed inverse problem which we regularize by prior knowledge in the form of learned non-negative dictionaries. We demonstrate a monaural speech localization algorithm based on non-negative matrix factorization that does not depend on sophisticated, designed scatterers. In fact, we show experimental results with ad hoc scatterers made of LEGO bricks. Even with these rudimentary structures we can accurately localize arbitrary speakers; that is, we do not need to learn the dictionary for the particular speaker to be localized. Finally, we discuss multi-source localization and the related limitations of our approach.Comment: This article has been accepted for publication in IEEE/ACM Transactions on Audio, Speech, and Language processing (TASLP

Underdetermined convolutive source separation using two dimensional non-negative factorization techniques

PhD ThesisIn this thesis the underdetermined audio source separation has been considered, that is, estimating the original audio sources from the observed mixture when the number of audio sources is greater than the number of channels. The separation has been carried out using two approaches; the blind audio source separation and the informed audio source separation. The blind audio source separation approach depends on the mixture signal only and it assumes that the separation has been accomplished without any prior information (or as little as possible) about the sources. The informed audio source separation uses the exemplar in addition to the mixture signal to emulate the targeted speech signal to be separated. Both approaches are based on the two dimensional factorization techniques that decompose the signal into two tensors that are convolved in both the temporal and spectral directions. Both approaches are applied on the convolutive mixture and the high-reverberant convolutive mixture which are more realistic than the instantaneous mixture. In this work a novel algorithm based on the nonnegative matrix factor two dimensional deconvolution (NMF2D) with adaptive sparsity has been proposed to separate the audio sources that have been mixed in an underdetermined convolutive mixture. Additionally, a novel Gamma Exponential Process has been proposed for estimating the convolutive parameters and number of components of the NMF2D/ NTF2D, and to initialize the NMF2D parameters. In addition, the effects of different window length have been investigated to determine the best fit model that suit the characteristics of the audio signal. Furthermore, a novel algorithm, namely the fusion K models of full-rank weighted nonnegative tensor factor two dimensional deconvolution (K-wNTF2D) has been proposed. The K-wNTF2D is developed for its ability in modelling both the spectral and temporal changes, and the spatial covariance matrix that addresses the high reverberation problem. Variable sparsity that derived from the Gibbs distribution is optimized under the Itakura-Saito divergence and adapted into the K-wNTF2D model. The tensors of this algorithm have been initialized by a novel initialization method, namely the SVD two-dimensional deconvolution (SVD2D). Finally, two novel informed source separation algorithms, namely, the semi-exemplar based algorithm and the exemplar-based algorithm, have been proposed. These algorithms based on the NMF2D model and the proposed two dimensional nonnegative matrix partial co-factorization (2DNMPCF) model. The idea of incorporating the exemplar is to inform the proposed separation algorithms about the targeted signal to be separated by initializing its parameters and guide the proposed separation algorithms. The adaptive sparsity is derived for both ii of the proposed algorithms. Also, a multistage of the proposed exemplar based algorithm has been proposed in order to further enhance the separation performance. Results have shown that the proposed separation algorithms are very promising, more flexible, and offer an alternative model to the conventional methods

Deep neural networks for monaural source separation

PhD ThesisIn monaural source separation (MSS) only one recording is available and the spatial information, generally, cannot be extracted. It is also an undetermined inverse problem. Rcently, the development of the deep neural network (DNN) provides the framework to address this problem. How to select the types of neural network models and training targets is the research question. Moreover, in real room environments, the reverberations from floor, walls, ceiling and furnitures in a room are challenging, which distort the received mixture and degrade the separation performance. In many real-world applications, due to the size of hardware, the number of microphones cannot always be multiple. Hence, deep learning based MSS is the focus of this thesis. The first contribution is on improving the separation performance by enhancing the generalization ability of the deep learning-base MSS methods. According to no free lunch (NFL) theorem, it is impossible to find the neural network model which can estimate the training target perfectly in all cases. From the acquired speech mixture, the information of clean speech signal could be over- or underestimated. Besides, the discriminative criterion objective function can be used to address ambiguous information problem in the training stage of deep learning. Based on this, the adaptive discriminative criterion is proposed and better separation performance is obtained. In addition to this, another alternative method is using the sequentially trained neural network models within different training targets to further estimate iv Abstract v the clean speech signal. By using different training targets, the generalization ability of the neural network models is improved, and thereby better separation performance. The second contribution is addressing MSS problem in reverberant room environments. To achieve this goal, a novel time-frequency (T-F) mask, e.g. dereverberation mask (DM) is proposed to estimate the relationship between the reverberant noisy speech mixture and the dereverberated mixture. Then, a separation mask is exploited to extract the desired clean speech signal from the noisy speech mixture. The DM can be integrated with ideal ratio mask (IRM) to generate ideal enhanced mask (IEM) to address both dereverberation and separation problems. Based on the DM and the IEM, a two-stage approach is proposed with different system structures. In the final contribution, both phase information of clean speech signal and long short-term memory (LSTM) recurrent neural network (RNN) are introduced. A novel complex signal approximation (SA)-based method is proposed with the complex domain of signals. By utilizing the LSTM RNN as the neural network model, the temporal information is better used, and the desired speech signal can be estimated more accurately. Besides, the phase information of clean speech signal is applied to mitigate the negative influence from noisy phase information. The proposed MSS algorithms are evaluated with various challenging datasets such as the TIMIT, IEEE corpora and NOISEX database. The algorithms are assessed with state-of-the-art techniques and performance measures to confirm that the proposed MSS algorithms provide novel solution