The Ramanujan Periodicity Project

Papers

Ordered according to their date of publication.

1. Vaidyanathan P.P., "Ramanujan-sum expansions for finite duration (FIR) sequences," Proc. IEEE Int. Conf. Acoust. Speech, and Signal Proc., Florence, Italy, May 2014.


2. Vaidyanathan P.P. and Pal P., "The Farey dictionary for sparse representation of periodic signals," Proc. IEEE Int. Conf. Acoust. Speech, and Signal Proc., Florence, Italy, May 2014.


3. Vaidyanathan P.P., "Ramanujan sums in the context of signal processing: Part I: fundamentals," IEEE Trans. on Signal Proc., vol. 62, no. 16, pp. 4145--4157, Aug., 2014.


4. Vaidyanathan P.P., "Ramanujan sums in the context of signal processing: Part II: FIR representations and applications," IEEE Trans. on Signal Proc., vol. 62, no. 16, pp. 4158--4172, Aug., 2014.


5. Tenneti S.V. and Vaidyanathan P.P., "Dictionary approaches for identifying periodicities in data," Proc. Asil. Conf. Sig., Sys., and Comp., Monterey, CA, Nov. 2014.


6. Vaidyanathan P.P. and Tenneti S.V., "Ramanujan subspaces and digital signal processing,'' Proc. Asil. Conf. Sig., Sys., and Comp., Monterey, CA, Nov. 2014.


7. Tenneti S.V. and Vaidyanathan P.P., "Ramanujan filter banks for estimation and tracking of periodicity properties,'' Proc. IEEE Int. Conf. Acoust. Speech, and Signal Proc., Brisbane, April 2015.


8. Vaidyanathan P.P., "Multidimensional Ramanujan-sum expansions on nonseparable lattices,'' Proc. IEEE Int. Conf. Acoust. Speech, and Signal Proc., Brisbane, April 2015.


9. Tenneti S.V., Vaidyanathan P.P., "Nested Periodic Matrices and Dictionaries: New Signal Representations for Period Estimation," IEEE Transactions on Signal Processing, vol.63, no.14, pp.3736,3750, July 15, 2015.


10. P. P. Vaidyanathan and Tenneti S. V., "Properties of Ramanujan Filter Banks", (to appear in) Proc. European Signal Processing Conference, France, August 2015.


11. Tenneti S.V. and Vaidyanathan P. P., "Arbitrarily Shaped Periods in Multi-Dimensional Discrete Time Periodicity," IEEE Signal Processing Letters, vol.22, no.10, pp.1748--1751, Oct. 2015.


12. Tenneti S. V. and Vaidyanthan P. P., "Minimal Dictionaries for Spanning Periodic Signals", (to appear in) Proc. Asilomar Conference on Signals, Systems, and Computers, Monterey, CA, Nov. 2015.


13. Tenneti S. V. and Vaidyanthan P. P., "Period Estimation and Tracking: Filter Bank Design using Truth Tables of Logic", (to appear in) Proc. Asilomar Conference on Signals, Systems, and Computers, Monterey, CA, Nov. 2015.


14. Tenneti S. V. and Vaidyanthan P. P., "Critical Datalength for Period Estimation", Proc. IEEE International Symposium on Circuits and Systems, Canada, May. 2016.


15. Tenneti S. V. and Vaidyanthan P. P., "Detecting Tandem Repeats in DNA Using Ramanujan Filter Bank", IEEE International Symposium on Circuits and Systems, Canada, May. 2016.


16. Tenneti S. V. and Vaidyanathan P. P. , "A Unified Theory of Union of Subspaces Representations of Periodic Signals", to appear in IEEE Transactions on Signal Processing.