2015 International Conference on Sampling Theory and Applications (SampTA)最新文献_第4页

Weighted total generalized variation for compressive sensing reconstruction 压缩感知重构的加权总广义变分

2015 International Conference on Sampling Theory and Applications (SampTA) Pub Date : 2015-05-25 DOI: 10.1109/SAMPTA.2015.7148889

Si Wang, W. Guo, Tingzhu Huang

引用次数: 2

Non-negative dimensionality reduction for audio signal separation by NNMF and ICA 基于NNMF和ICA的音频信号分离非负降维

2015 International Conference on Sampling Theory and Applications (SampTA) Pub Date : 2015-05-25 DOI: 10.1109/SAMPTA.2015.7148916

S. Krause-Solberg, A. Iske

{"title":"Non-negative dimensionality reduction for audio signal separation by NNMF and ICA","authors":"S. Krause-Solberg, A. Iske","doi":"10.1109/SAMPTA.2015.7148916","DOIUrl":"https://doi.org/10.1109/SAMPTA.2015.7148916","url":null,"abstract":"Many relevant applications of signal processing rely on the separation of sources from a mixture of signals without a prior knowledge about the mixing process. Given a mixture of signals f = Σi fi, the task of signal separation is to estimate the components fi by using specific assumptions on their time-frequency behaviour or statistical characteristics. Time-frequency data is often very high-dimensional which affects the performance of signal separation methods quite significantly. Therefore, the embedding dimension of the time-frequency representation of f should be reduced prior to the application of a decomposition strategy, such as independent component analysis (ICA) or non-negative matrix factorization (NNMF). In other words, a suitable dimensionality reduction method should be applied, before the data is decomposed and then back-projected. But the choice of the dimensionality reduction method requires particular care, especially in combination with ICA and NNMF, since non-negative input data are required. In this paper, we introduce a generic concept for the construction of suitable non-negative dimensionality reduction methods. Furthermore, we discuss the two different decomposition strategies NNMF and ICA for single channel signal separation in combination with non-negative principal component analysis (NNPCA), where our main interest is in acoustic signals with transitory components.","PeriodicalId":311830,"journal":{"name":"2015 International Conference on Sampling Theory and Applications (SampTA)","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127209188","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 4

Reconstruction of sparse multiband wavelet signals from Fourier measurements 傅立叶测量稀疏多带小波信号的重构

2015 International Conference on Sampling Theory and Applications (SampTA) Pub Date : 2015-05-25 DOI: 10.1109/SAMPTA.2015.7148854

Yang Chen, Cheng Cheng, Qiyu Sun

引用次数: 3

Parameter estimation for bivariate exponential sums 二元指数和的参数估计

2015 International Conference on Sampling Theory and Applications (SampTA) Pub Date : 2015-05-25 DOI: 10.1109/SAMPTA.2015.7148940

Benedikt Diederichs, A. Iske

引用次数: 21

Fast and exact reconstruction of arbitrary multivariate algebraic polynomials in Chebyshev form 切比雪夫形式下任意多元代数多项式的快速精确重构

2015 International Conference on Sampling Theory and Applications (SampTA) Pub Date : 2015-05-25 DOI: 10.1109/SAMPTA.2015.7148919

D. Potts, Toni Volkmer

引用次数: 12

Statistical optimality of Hermite splines Hermite样条的统计最优性

2015 International Conference on Sampling Theory and Applications (SampTA) Pub Date : 2015-05-25 DOI: 10.1109/SAMPTA.2015.7148885

V. Uhlmann, J. Fageot, Harshit Gupta, M. Unser

引用次数: 3

Error estimates for filtered back projection 滤波后反投影的误差估计

2015 International Conference on Sampling Theory and Applications (SampTA) Pub Date : 2015-05-25 DOI: 10.1109/SAMPTA.2015.7148952

Matthias Beckmann, A. Iske

引用次数: 10

Uniqueness in bilinear inverse problems with applications to subspace and joint sparsity models 双线性反问题的唯一性及其在子空间和联合稀疏模型上的应用

2015 International Conference on Sampling Theory and Applications (SampTA) Pub Date : 2015-05-25 DOI: 10.1109/SAMPTA.2015.7148955

Yanjun Li, Kiryung Lee, Y. Bresler

{"title":"Uniqueness in bilinear inverse problems with applications to subspace and joint sparsity models","authors":"Yanjun Li, Kiryung Lee, Y. Bresler","doi":"10.1109/SAMPTA.2015.7148955","DOIUrl":"https://doi.org/10.1109/SAMPTA.2015.7148955","url":null,"abstract":"Bilinear inverse problems (BIPs), the resolution of two vectors given their image under a bilinear mapping, arise in many applications, such as blind deconvolution and dictionary learning. However, there are few results on the uniqueness of solutions to BIPs. For example, blind gain and phase calibration (BGPC) is a structured bilinear inverse problem, which arises in inverse rendering in computational relighting, in blind gain and phase calibration in sensor array processing, in multichannel blind deconvolution (MBD), etc. It is interesting to study the uniqueness of solutions to such problems. In this paper, we define identifiability of a bilinear inverse problem up to a group of transformations. We derive conditions under which the solutions can be uniquely determined up to the transformation group. Then we apply these results to BGPC and give sufficient conditions for unique recovery under subspace or joint sparsity constraints. For BGPC with joint sparsity constraints, we develop a procedure to determine the relevant transformation groups. We also give necessary conditions in the form of tight lower bounds on sample complexities, and demonstrate the tightness by numerical experiments.","PeriodicalId":311830,"journal":{"name":"2015 International Conference on Sampling Theory and Applications (SampTA)","volume":"214 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116368224","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 2

Optimally sparse image approximation by adaptive linear splines over anisotropic triangulations 基于各向异性三角剖分的自适应线性样条优化稀疏图像逼近

2015 International Conference on Sampling Theory and Applications (SampTA) Pub Date : 2015-05-25 DOI: 10.1109/SAMPTA.2015.7148934

A. Iske, L. Demaret

引用次数: 3

Optimal trade-off between sampling rate and quantization precision in Sigma-Delta A/D conversion Sigma-Delta A/D转换中采样率与量化精度的最佳权衡

2015 International Conference on Sampling Theory and Applications (SampTA) Pub Date : 2015-05-25 DOI: 10.1109/SAMPTA.2015.7148967

A. Kipnis, A. Goldsmith, Yonina C. Eldar

{"title":"Optimal trade-off between sampling rate and quantization precision in Sigma-Delta A/D conversion","authors":"A. Kipnis, A. Goldsmith, Yonina C. Eldar","doi":"10.1109/SAMPTA.2015.7148967","DOIUrl":"https://doi.org/10.1109/SAMPTA.2015.7148967","url":null,"abstract":"The optimal sampling frequency in a Sigma-Delta analog-to-digital converter with a fixed bitrate at the output is studied. We consider the mean squared error performance metric where the input signal statistics are known. Fixing the output bitrate introduces a trade-off between the sampling rate and the number of bits used to quantize each sample. That is, while increasing the sampling rate reduces the in-band quantization noise, it also reduces the number of bits available to quantize each sample and therefore increases the magnitude of the quantization noise. The optimal sampling rate is the result of the interplay between these two phenomena. In this work we analyze the sampling rate of a Sigma-Delta modulator of arbitrary order under the approximation that the quantization error behaves like additive white noise that is uncorrelated with the signal. We show that for a signal with a spectrum that is constant over its bandwidth, the optimal sampling rate is either the Nyquist rate or the maximal sampling rate corresponding to the output bitrate. The choice between the two is approximately a function of the Sigma-Delta system order and the bitrate per unit bandwidth.","PeriodicalId":311830,"journal":{"name":"2015 International Conference on Sampling Theory and Applications (SampTA)","volume":"45 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2015-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133823916","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 13