Splines in Compressed Sensing

S. Abhishek (1), S. Veni (2), K.A Narayanankutty (3)
(1) Department of Electronics &Communication Engineering, Amrita School of Engineering, Coimbatore, Amrita VishwaVidyapeetham, Amrita University, India - 641112
(2) Department of Electronics &Communication Engineering, Amrita School of Engineering, Coimbatore, Amrita VishwaVidyapeetham, Amrita University, India - 641112
(3) Department of Electronics &Communication Engineering, Amrita School of Engineering, Coimbatore, Amrita VishwaVidyapeetham, Amrita University, India - 641112
Fulltext View | Download
How to cite (IJASEIT) :
Abhishek, S., et al. “Splines in Compressed Sensing”. International Journal on Advanced Science, Engineering and Information Technology, vol. 6, no. 4, July 2016, pp. 469-76, doi:10.18517/ijaseit.6.4.844.
It is well understood that in any data acquisition system reduction in the amount of data reduces the time and energy, but the major trade-off here is the quality of outcome normally, lesser the amount of data sensed, lower the quality. Compressed Sensing (CS) allows a solution, for sampling below the Nyquist rate. The challenging problem of increasing the reconstruction quality with less number of samples from an unprocessed data set is addressed here by the use of representative coordinate selected from different orders of splines. We have made a detailed comparison with 10 orthogonal and 6 biorthogonal wavelets with two sets of data from MIT Arrhythmia database and our results prove that the Spline coordinates work better than the wavelets. The generation of two new types of splines such as exponential and double exponential are also briefed here .We believe that this is one of the very first attempts made in Compressed Sensing based ECG reconstruction problems using raw data.  

Authors who publish with this journal agree to the following terms:

    1. Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
    2. Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
    3. Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).