Effect of Random Sampling on Noisy Nonsparse Signals in Time-Frequency Analysis. Stanković, I., Brajović, M., Daković, M., & Ioana, C. In *2018 26th European Signal Processing Conference (EUSIPCO)*, pages 480-483, Sep., 2018.

Paper doi abstract bibtex

Paper doi abstract bibtex

The paper examines the exact error of randomly sampled reconstructed nonsparse signals having a sparsity constraint. When signal is randomly sampled, it looses the property of sparsity. It is considered that the signal is reconstructed as sparse in the joint time-frequency domain. Under this assumption, the signal can be reconstructed by a reduced set of measurements. It is shown that the error can be calculated from the unavailable samples and assumed sparsity. Unavailable samples degrade the sparsity constraint. The error is examined on nonstationary signals, with the short-time Fourier transform acting as a representative domain of signal sparsity. The presented theory is verified on numerical examples.

@InProceedings{8553428, author = {I. Stanković and M. Brajović and M. Daković and C. Ioana}, booktitle = {2018 26th European Signal Processing Conference (EUSIPCO)}, title = {Effect of Random Sampling on Noisy Nonsparse Signals in Time-Frequency Analysis}, year = {2018}, pages = {480-483}, abstract = {The paper examines the exact error of randomly sampled reconstructed nonsparse signals having a sparsity constraint. When signal is randomly sampled, it looses the property of sparsity. It is considered that the signal is reconstructed as sparse in the joint time-frequency domain. Under this assumption, the signal can be reconstructed by a reduced set of measurements. It is shown that the error can be calculated from the unavailable samples and assumed sparsity. Unavailable samples degrade the sparsity constraint. The error is examined on nonstationary signals, with the short-time Fourier transform acting as a representative domain of signal sparsity. The presented theory is verified on numerical examples.}, keywords = {Fourier transforms;signal processing;time-frequency analysis;random sampling;noisy nonsparse signals;time-frequency analysis;randomly sampled reconstructed nonsparse signals;sparsity constraint;joint time-frequency domain;unavailable samples;assumed sparsity;nonstationary signals;short-time Fourier;signal sparsity;Noise measurement;Time-frequency analysis;Europe;Signal processing;Discrete Fourier transforms;compressive sensing;nonsparse signals;random sampling;time-frequency analysis}, doi = {10.23919/EUSIPCO.2018.8553428}, issn = {2076-1465}, month = {Sep.}, url = {https://www.eurasip.org/proceedings/eusipco/eusipco2018/papers/1570439408.pdf}, }

Downloads: 0

{"_id":"qm764amXWg7Rc9kCa","bibbaseid":"stankovi-brajovi-dakovi-ioana-effectofrandomsamplingonnoisynonsparsesignalsintimefrequencyanalysis-2018","authorIDs":[],"author_short":["Stanković, I.","Brajović, M.","Daković, M.","Ioana, C."],"bibdata":{"bibtype":"inproceedings","type":"inproceedings","author":[{"firstnames":["I."],"propositions":[],"lastnames":["Stanković"],"suffixes":[]},{"firstnames":["M."],"propositions":[],"lastnames":["Brajović"],"suffixes":[]},{"firstnames":["M."],"propositions":[],"lastnames":["Daković"],"suffixes":[]},{"firstnames":["C."],"propositions":[],"lastnames":["Ioana"],"suffixes":[]}],"booktitle":"2018 26th European Signal Processing Conference (EUSIPCO)","title":"Effect of Random Sampling on Noisy Nonsparse Signals in Time-Frequency Analysis","year":"2018","pages":"480-483","abstract":"The paper examines the exact error of randomly sampled reconstructed nonsparse signals having a sparsity constraint. When signal is randomly sampled, it looses the property of sparsity. It is considered that the signal is reconstructed as sparse in the joint time-frequency domain. Under this assumption, the signal can be reconstructed by a reduced set of measurements. It is shown that the error can be calculated from the unavailable samples and assumed sparsity. Unavailable samples degrade the sparsity constraint. The error is examined on nonstationary signals, with the short-time Fourier transform acting as a representative domain of signal sparsity. The presented theory is verified on numerical examples.","keywords":"Fourier transforms;signal processing;time-frequency analysis;random sampling;noisy nonsparse signals;time-frequency analysis;randomly sampled reconstructed nonsparse signals;sparsity constraint;joint time-frequency domain;unavailable samples;assumed sparsity;nonstationary signals;short-time Fourier;signal sparsity;Noise measurement;Time-frequency analysis;Europe;Signal processing;Discrete Fourier transforms;compressive sensing;nonsparse signals;random sampling;time-frequency analysis","doi":"10.23919/EUSIPCO.2018.8553428","issn":"2076-1465","month":"Sep.","url":"https://www.eurasip.org/proceedings/eusipco/eusipco2018/papers/1570439408.pdf","bibtex":"@InProceedings{8553428,\n author = {I. Stanković and M. Brajović and M. Daković and C. Ioana},\n booktitle = {2018 26th European Signal Processing Conference (EUSIPCO)},\n title = {Effect of Random Sampling on Noisy Nonsparse Signals in Time-Frequency Analysis},\n year = {2018},\n pages = {480-483},\n abstract = {The paper examines the exact error of randomly sampled reconstructed nonsparse signals having a sparsity constraint. When signal is randomly sampled, it looses the property of sparsity. It is considered that the signal is reconstructed as sparse in the joint time-frequency domain. Under this assumption, the signal can be reconstructed by a reduced set of measurements. It is shown that the error can be calculated from the unavailable samples and assumed sparsity. Unavailable samples degrade the sparsity constraint. The error is examined on nonstationary signals, with the short-time Fourier transform acting as a representative domain of signal sparsity. The presented theory is verified on numerical examples.},\n keywords = {Fourier transforms;signal processing;time-frequency analysis;random sampling;noisy nonsparse signals;time-frequency analysis;randomly sampled reconstructed nonsparse signals;sparsity constraint;joint time-frequency domain;unavailable samples;assumed sparsity;nonstationary signals;short-time Fourier;signal sparsity;Noise measurement;Time-frequency analysis;Europe;Signal processing;Discrete Fourier transforms;compressive sensing;nonsparse signals;random sampling;time-frequency analysis},\n doi = {10.23919/EUSIPCO.2018.8553428},\n issn = {2076-1465},\n month = {Sep.},\n url = {https://www.eurasip.org/proceedings/eusipco/eusipco2018/papers/1570439408.pdf},\n}\n\n","author_short":["Stanković, I.","Brajović, M.","Daković, M.","Ioana, C."],"key":"8553428","id":"8553428","bibbaseid":"stankovi-brajovi-dakovi-ioana-effectofrandomsamplingonnoisynonsparsesignalsintimefrequencyanalysis-2018","role":"author","urls":{"Paper":"https://www.eurasip.org/proceedings/eusipco/eusipco2018/papers/1570439408.pdf"},"keyword":["Fourier transforms;signal processing;time-frequency analysis;random sampling;noisy nonsparse signals;time-frequency analysis;randomly sampled reconstructed nonsparse signals;sparsity constraint;joint time-frequency domain;unavailable samples;assumed sparsity;nonstationary signals;short-time Fourier;signal sparsity;Noise measurement;Time-frequency analysis;Europe;Signal processing;Discrete Fourier transforms;compressive sensing;nonsparse signals;random sampling;time-frequency analysis"],"metadata":{"authorlinks":{}}},"bibtype":"inproceedings","biburl":"https://raw.githubusercontent.com/Roznn/EUSIPCO/main/eusipco2018url.bib","creationDate":"2021-02-13T15:38:40.425Z","downloads":0,"keywords":["fourier transforms;signal processing;time-frequency analysis;random sampling;noisy nonsparse signals;time-frequency analysis;randomly sampled reconstructed nonsparse signals;sparsity constraint;joint time-frequency domain;unavailable samples;assumed sparsity;nonstationary signals;short-time fourier;signal sparsity;noise measurement;time-frequency analysis;europe;signal processing;discrete fourier transforms;compressive sensing;nonsparse signals;random sampling;time-frequency analysis"],"search_terms":["effect","random","sampling","noisy","nonsparse","signals","time","frequency","analysis","stanković","brajović","daković","ioana"],"title":"Effect of Random Sampling on Noisy Nonsparse Signals in Time-Frequency Analysis","year":2018,"dataSources":["yiZioZximP7hphDpY","iuBeKSmaES2fHcEE9"]}