Performance Comparison for the Design of Discrete Fourier-Invariant Signals
C Ilayarasu1, K Boopathy Bagan2, S Kanithan3
1Mr. Ilayarasu C, Department of Electronics, Madras Institute of Technology, Chennai (Tamil Nadu), India.
2Dr. Boopathy Bagan, Department of Electronics, Madras Institute of Technology, Chennai (Tamil Nadu), India.
3Mr. Kanithan, Department of Electrical Engineering, Rover College of Engineering and Technology, Perambalur (Tamil Nadu), India.
Manuscript received on 14 August 2014 | Revised Manuscript received on 22 August 2014 | Manuscript Published on 30 August 2014 | PP: 28-34 | Volume-4 Issue-3, August 2014 | Retrieval Number: C1762084314/14©BEIESP
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: In this paper, the design methodology minimizes the difference between the signal and its spectrum using gradient based iterative method. The proposed method reduces the number of iterations and simulation time compared with the existing method. The novelty method of design includes discrete Fourier-invariant signals with minimum time-width (T) and bandwidth (B) product. These methods achieve theoretical Gabor lower bound on BT product. Finally, we show how the proposed discrete Fourier-invariant signals with minimum bandwidth time-width product are not affected by noise with the help of wavelet processing.
Keywords: Eigenfunctions, Gabor Uncertainty Principle, Shape Invariant Signals.
Scope of the Article: Performance Evaluation of Networks