2011
DOI: 10.1109/tasl.2010.2090656
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Single-Channel and Multi-Channel Sinusoidal Audio Coding Using Compressed Sensing

Abstract: Abstract-Compressed sensing (CS) samples signals at a much lower rate than the Nyquist rate if they are sparse in some basis. In this paper, the CS methodology is applied to sinusoidally modeled audio signals. As this model is sparse by definition in the frequency domain (being equal to the sum of a small number of sinusoids), we investigate whether CS can be used to encode audio signals at low bitrates. In contrast to encoding the sinusoidal parameters (amplitude, frequency, phase) as current state-of-the-art… Show more

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Cited by 32 publications
(13 citation statements)
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“…Compressed Sensing (CS) approaches for signal compression/reconstruction offers an affordable solution for audio compression in wireless sensor networks [5], by allowing the reconstructing of audio signals from a small number of random linear observations. To the best of our knowledge, this is the first work that demonstrates the benefits of CS based compression/reconstruction schemes for the efficient telemonitoring of breath sounds in wireless body ares networks (WBANs).…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…Compressed Sensing (CS) approaches for signal compression/reconstruction offers an affordable solution for audio compression in wireless sensor networks [5], by allowing the reconstructing of audio signals from a small number of random linear observations. To the best of our knowledge, this is the first work that demonstrates the benefits of CS based compression/reconstruction schemes for the efficient telemonitoring of breath sounds in wireless body ares networks (WBANs).…”
Section: Introductionmentioning
confidence: 99%
“…To the best of our knowledge, this is the first work that demonstrates the benefits of CS based compression/reconstruction schemes for the efficient telemonitoring of breath sounds in wireless body ares networks (WBANs). More specifically, we enhance the benefits of the conventional CS schemes proposed in [5], by taking into account specific characteristics (e.g., block sparsity, sample correlation) of the breath sounds in the eigen spectrum domain. The proposed novel recovery algorithm, named PCA based Group LASSO, increases the mhealth system energy efficiency by a factor of 1.8 as compared to traditional CS recovery approaches.…”
Section: Introductionmentioning
confidence: 99%
“…Therefore, it can be said that sinusoid has sparse representation in the frequency domain. When talking about musical signals, we can say that they consist of or can be modeled using small number of timevarying sinusoidal signals [5], [6]. For that reason, musical signals exhibit sparsity property in the frequency domain, and consequently, they can be good candidates for the applications of CS approach.…”
Section: Introductionmentioning
confidence: 99%
“…With respect to the CS for audio signals [4], [5], finding a dictionary, on which the audio signals can be well sparsely represented, is usually the primary task. As the audio signals are time-varying and consequently can hardly be well sparsely decomposed within a single orthogonal dictionary [6], sub-optimal methods [7], [8], which achieve the best sparse approximation of the audio signal, are proposed in reThis work was partially supported by the National Natural Science Foundation of China under grant number 61171171 and 61102169. cent years.…”
Section: Introductionmentioning
confidence: 99%