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    Differential of the Mutual Information

    , Article IEEE Signal Processing Letters ; Volume 11, Issue 1 , 2004 , Pages 48-51 ; 10709908 (ISSN) Babaie Zadeh, M ; Jutten, C ; Nayebi, K ; Sharif University of Technology
    2004
    Abstract
    In this letter, we compute the variation of the mutual information, resulting from a small variation in its argument. Although the result can be applied in many problems, we consider only one example: the result is used for deriving a new method for blind source separation in linear mixtures. The experimental results emphasize the performance of the resulting algorithm  

    , M.Sc. Thesis Sharif University of Technology Malek Mohammadi, Mahsa (Author) ; Zahedi, Edmond (Supervisor)
    Abstract
    Cardiovascular (CV) system is very similar to a wireless communication system in which a common input signal from the heart is fed into different arterial channels throughout different body parts. By putting multiple sensors on different peripheral body sites effects of this circulation from the heart can be recorded and be used as inputs for different multi channel blind system identification (BSI) methods for estimation of arterial channel dynamics. This Thesis is defined in order to investigate different BSI methods capability in CV characterization. To achieve this goal photoplethysmogram signals has been used as primary sensory recorded effect of heart function at three different... 

    EEG Denoising Using Combination of Kalman Filtetring and Blind Source Separation Approaches for Epileptic Components Extraction

    , M.Sc. Thesis Sharif University of Technology Mohammadi, Marzieh (Author) ; Shamsollahi, Mohammad Bagher (Supervisor)
    Abstract
    Epilepsy is a neurological disorder whose prevalence is estimated to be 1% of the world population. Electroencephalogram (EEG) is one of the best and convenient non-invasive tools used in diagnosis and analysis of this disease. Epileptic components extracted from EEG recordings are widely used in neuroscience in the diagnosis analysis like epilepsy source localization. However, epileptic components are often contaminated and covered with artifacts of physiological origin (baseline, EMG, ECG, EOG, etc.) or instrument noises (power supply, electrode, etc.). So, preprocessing and denoising is necessary for precise analysis of epilepsy EEG recording. Heretofore, several methods have been... 

    Application of Blind Source Separation in Information Hiding

    , M.Sc. Thesis Sharif University of Technology Hajisami, Abolfazl (Author) ; Babaie Zadeh, Massoud (Supervisor)
    Abstract
    This thesis proposes new algorithms for digital watermarking that are based on Independent Component Analysis (ICA) technique. First, we will show that ICA allows the maximization of the information content and minimization of the induced distortion by decomposing the covertext (in this thesis the image) into statistically independent components. In fact, for a broad class of attacks and fixed capacity values, one can show that distortion is minimized when the message is embedded in statistically independent components. Information theoretical analysis also shows that the information hiding capacity of statistically independent components is maximal. Then we will propose a new wavelet... 

    WT-SOBI Method Towards Blind System Identification of Structures

    , M.Sc. Thesis Sharif University of Technology Saremi, Shervin (Author) ; Kazemi , Mohammad Taghi (Supervisor)
    Abstract
    Blind source separation methods such as independent component analysis (ICA) and second order blind identification (SOBI) have shown considerable potential in the area of ambient vibration system identification. The objective of these methods is to separate the modal responses, or sources, from the measured output responses, without the knowledge of excitation. Several frequency domain and time domain methods have been proposed and successfully implemented in the literature. Whereas frequency-domain methods pose several challenges typical of dealing with signals in the frequency-domain, popular time domain methods such as NExT/ERA and SSI pose limitations in dealing with noise, low sensor... 

    Intensity Estimation of Facial Action Units Utilizing Their Sparsity Properties

    , Ph.D. Dissertation Sharif University of Technology Mohammadi, Mohammad Reza (Author) ; Fatemizadeh, Emad (Supervisor) ; Mahoor, Mohammad Hossein (Co-Advisor)
    Abstract
    The most popular system for quantification of the facial behaviors and expressions is the Facial Action Coding System (FACS). FACS provides a description of all possible and visually detectable facial variations in terms of 33 Action Units (AUs). The activation of each AU leads to a slight variation in the facial appearance, and any facial expression can be modeled by a single AU or a combination of AUs. Definition of AUs is such that they are sparse in multiple domains. The goal of this dissertation is utilizing these sparsity properties to develop an effective algorithm for automatic intensity estimation of AUs. One of the sparsity domains of AUs is the spatial domain that means the... 

    Fetal ECG Extraction Using Tensor Decomposition

    , M.Sc. Thesis Sharif University of Technology Akbari, Hassan (Author) ; Shamsollahi, Mohammad Bagher (Supervisor)
    Abstract
    In this work, we evaluate differernt tensor decomposition methods in application of fECG extraction from abdominal ECG recordings. After selecting proper tensor decomposition tool (Tucker decomposition) we propose a linear source separation algorithm based on a measure of quasi-periodicity. The quasi-periodicity is attained through the use of a constraint on a matrix factorization problem. In practice, we form a three dimensional ”tensor” by stacking the observation matrix and rough estimates obtained by both linear and non-linear subspace reconstruction methods. The method is applied to a database of electrocardiography (ECG) recordings, where rough subspace estimates of maternal and fetal... 

    Multimodal Blind Source Separation

    , Ph.D. Dissertation Sharif University of Technology Sedighin, Farnaz (Author) ; Babaie-Zadeh, Massoud (Supervisor)
    Abstract
    Blind Source Separation (BSS) is a challenging task in signal processing which aims to separate sources from their mixtures when no information is available about the sources or the mixing system. Different approaches have already been proposed for source separation.However, during the last decade, new approaches based on multimodal nature of phenomena have been proposed for source separation. Different aspects of a multimodal phenomenon can be measured by means of different instruments where each of the measured signals is called a modality of that phenomenon. Although the modalities are different signals with different features, due to the same physical origin, they usually have some... 

    Blind Source Separation Analysis of brain fMRI for Activation Detection

    , M.Sc. Thesis Sharif University of Technology Akhbari, Mahsa (Author) ; Fatemizadeh, Emadeddin (Supervisor) ; Babaiezadeh, Massoud (Co-Advisor)
    Abstract
    Functional Magnetic Resonance Imaging (fMRI) is one of the imaging techniques that are used to study human brain function and neurological disease diagnosis. Popular techniques in fMRI utilize the blood oxygenation level dependent (BOLD) contrast, which is based on the differing magnetic properties of oxygenated (diamagnetic) and deoxygenated (paramagnetic) blood. In order to analyze fMRI data, hypothesis-driven or data-driven methods can be used. Among data-driven techniques, Independent Component Analysis (ICA) provides a powerful method for the exploratory analysis of fMRI data. In this thesis, we use ICA on fMRI data for detecting active regions in brain, without a-priori knowledge of... 

    Detection of Abrupt Changes in Structural Properties Through Vibration Signal Processing

    , Ph.D. Dissertation Sharif University of Technology Morovvati, Vahid (Author) ; Kazemi, Mohammad Taghi (Supervisor)
    Abstract
    Structural system identification from vibration data is one of the most interesting research topics in the structural health monitoring area. Recently, realization and detection of the effects of damage when a structure is subjected to strong ground motion has become a great concern in earthquake and structural engineering communities. Seismic signal processing is one of the most reliable methods of detecting the structural damage during earthquakes. The structural responses during earthquakes are nonstationary with respect to both amplitude and frequency. The state-of-the-art time-frequency distributions when applied to vibration records were studied. Different methods of analysis for... 

    Design and Digital Simulation of New Method for Deinterleaving Radar Complex Signals

    , M.Sc. Thesis Sharif University of Technology keshavrzi, Mahmoud (Author) ; Pezeshk, Amir Mansour (Supervisor) ; Farzaneh, Forouhar ($item.subfieldsMap.e)
    Abstract
    It is generally accepted that Electronic Warfare has three distinct components: (1) electronic support (ES), (2) electronic attack (EA), and (3) electronic protect (EP). ES is included those measures taken to collect information about an adversary by intercepting radiated emissions. EA refers to attempting to deny adversaries access to their information by radiating energy into their receivers. EP includes activities under taken to prevent an adversary from successfully conducting ES or EA on friendly forces.
    The function of Electronic Support Measurement (ESM) System is considered as a part of the first component (i.e. ES). After receiving emitted signals from various radars by ESM... 

    Graph Signal Separation Based on Smoothness or Sparsity in the Frequency Domain

    , M.Sc. Thesis Sharif University of Technology Mohammadi, Sara (Author) ; Babaiezadeh, Massoud (Supervisor) ; Thanou, Dorina (Co-Supervisor)
    Abstract
    Blind separation of mixed graph signals is one of the new topics in the field of graph signal processing. However, similar to the most proposed methods for separating traditional signals, it is assumed that the number of observed signals is equal to or greater than the number of sources. In this thesis, we show that a signal can be uniquely decomposed into the summation of a set of smooth graph signals, up to the indeterminacy of their DC values. From the blind source separation point of view, this is like the separation of a set of graph signals from a single mixture, contrary to traditional blind source separation in which at least two observed mixtures are required. Moreover, we... 

    Separation of Smooth Graph Signals Based on a Single Observed Mixture

    , M.Sc. Thesis Sharif University of Technology Ahmad Yarandi, Mohammad Hassan (Author) ; Babaiezadeh, Massoud (Supervisor)
    Abstract
    Graph signal separation is a new topic in the field of graph signal processing that aims to recover graph signals from their linear combinations, taking into account the relationship between the signals and their corresponding graphs. Among the existing methods for separating graph signals from observing only one mixture, a recently published approach assumes the smoothness of the signals and minimizes the smoothness criterion of the signals on their related graphs. In this thesis, the closed-form solution of this method is obtained and the reconstruction error of the graph signals is calculated from it and the performance of this method is evaluated. It is also shown by numerical... 

    Automatic ocular correction in EEG recordings using maximum likelihood estimation

    , Article IEEE International Symposium on Signal Processing and Information Technology, IEEE ISSPIT 2013, Athens ; 2013 , Pages 164-169 Karimi, S ; Molaee Ardekani, B ; Shamsollahi, M. B ; Leroy, C ; Derambure, P ; Sharif University of Technology
    IEEE Computer Society  2013
    Abstract
    The electrooculogram (EOG) artifact is one of the main contaminators of electroencephalographic recording (EEG). EOG can make serious problems in results and interpretations of EEG processing. Rejecting contaminated EEG segments result in an unacceptable data loss. Many methods were proposed to correct EOG artifact mainly based on regression and blind source separation (BSS). In this study, we proposed an automatic correction method based on maximum likelihood estimation. The proposed method was applied to our simulated data (real artifact free EEG plus controlled EOG) and results show that this method gives superior performance to Schlögl and SOBI methods  

    On the error of estimating the sparsest solution of underdetermined linear systems

    , Article IEEE Transactions on Information Theory ; Volume 57, Issue 12 , December , 2011 , Pages 7840-7855 ; 00189448 (ISSN) Babaie Zadeh, M ; Jutten, C ; Mohimani, H ; Sharif University of Technology
    Abstract
    Let A be an n × m matrix with m > n, and suppose that the underdetermined linear system As = x admits a sparse solution ∥s 0∥o < 1/2spark(A). Such a sparse solution is unique due to a well-known uniqueness theorem. Suppose now that we have somehow a solution ŝ as an estimation of s0, and suppose that ŝ is only "approximately sparse", that is, many of its components are very small and nearly zero, but not mathematically equal to zero. Is such a solution necessarily close to the true sparsest solution? More generally, is it possible to construct an upper bound on the estimation error ∥ŝ - s 0∥2 without knowing s0? The answer is positive, and in this paper, we construct such a bound based on... 

    Automatic epileptic seizure detection in a mixed generalized and focal seizure dataset

    , Article 26th National and 4th International Iranian Conference on Biomedical Engineering, ICBME 2019, 27 November 2019 through 28 November 2019 ; 2019 , Pages 172-176 ; 9781728156637 (ISBN) Mozafari, M ; Hajipour Sardouie, S ; Sharif University of Technology
    Institute of Electrical and Electronics Engineers Inc  2019
    Abstract
    Detection of seizure periods in an epileptic patient is an important part of health care. However, due to the variety in types of seizures and location of them, real-time seizure detection is not straight forward. In this paper, we propose a method for seizure detection from EEG signals in datasets which have both generalized and focal seizures. The proposed method is useful in the situations that we have no prior knowledge about the location of the patient's seizure and the pattern of evolution of seizure location. In the proposed method, first, the artifacts are automatically reduced by Blind Source Separation (BSS) methods. Then, the channels are clustered into two clusters. After that,... 

    Robust blind separation of smooth graph signals using minimization of graph regularized mutual information

    , Article Digital Signal Processing: A Review Journal ; Volume 132 , 2022 ; 10512004 (ISSN) Einizade, A ; Hajipour Sardouie, S ; Sharif University of Technology
    Elsevier Inc  2022
    Abstract
    The smoothness of the graph signals on predefined/constructed graphs appears in many natural applications of processing unstructured (i.e., graph-based) data. In the case of latent sources being smooth graph signals, blind source separation (BSS) quality can be significantly improved by exploiting graph signal smoothness along with the classic measures of statistical independence. In this paper, we propose a BSS method benefiting from the minimization of mutual information as a well-known independence criterion and also graph signal smoothness term of the estimated latent sources, and show that its performance is superior and fairly robust to the state-of-the-art classic and Graph Signal... 

    A unified approach for simultaneous graph learning and blind separation of graph signal sources

    , Article IEEE Transactions on Signal and Information Processing over Networks ; Volume 8 , 2022 , Pages 543-555 ; 2373776X (ISSN) Einizade, A ; Sardouie, S. H ; Sharif University of Technology
    Institute of Electrical and Electronics Engineers Inc  2022
    Abstract
    In the nascent and challenging problem of the blind separation of the sources (BSS) supported by graphs, i.e., graph signals, along with the statistical independence of the sources, additional dependency information can be interpreted from their graph structure. To the best of our knowledge, in these cases, only GraDe and GraphJADE methods have been proposed to exploit the graph dependencies and/or Graph Signal Processing (GSP) techniques to improve the separation quality. Despite the significant advantages of these graph-based methods, they assume that the underlying graphs are known, which is a serious drawback, especially in many real-world applications. To address this issue, in this... 

    Fetal R Detection from Mixed Maternal and Fetal MCG Signals

    , M.Sc. Thesis Sharif University of Technology Kharabian Masouleh, Shahrzad (Author) ; Shamsollahi, Mohammad Bagher (Supervisor) ; Sameni, Reza (Supervisor)
    Abstract
    Analyzing cardiac function of the fetus during pregnancy is proved to be an important prenatal care procedure. Traditional methods like auscultation and ultrasonography could only lead to anatomical information about the fetal heart. So in the recent decades many researches on the abdominal electrical signals of the pregnant women have been done. Nowadays, it is possible to record the heart magnetic signals. With regard to the morphological similarity between the electrical and magnetical signals of the heart and the superiority of the magnetic ones, one could assume more diagnostic capacity for the fetal MCG. It should be mentioned that finding the location of the fetal R waves could help... 

    Bilnd Source Separation in Nonlinear Mixtures

    , Ph.D. Dissertation Sharif University of Technology Ehsandoust, Bahram (Author) ; Babaiezadeh, Massoud (Supervisor) ; Jutten, Christian (Co-Supervisor) ; Rivet, Bertrand (Co-Supervisor)
    Abstract
    Blind Source Separation (BSS) is a technique for estimating individual source components from their mixtures at multiple sensors, where the mixing model is unknown. Although it has been mathematically shown that for linear mixtures, under mild conditions, mutually independent sources can be reconstructed up to accepted ambiguities, there is not such theoretical basis for general nonlinear models. This is why there are relatively few resultsin the literature in this regard in the recent decades, which are focused on specific structured nonlinearities.In the present study, the problem is tackled using a novel approach utilizing temporal information of the signals. The original idea followed in...