ABSTRACT
In this paper, a time domain pulse shaping operation is presented. The proposed operation transforms the given time limited, positive amplitude, finite energy and even-symmetric pulse into a pulse that has an increased duration for its constant maximum amplitude while maintaining the same time spacing between instants of zero amplitude levels as the original pulse. If the given pulse amplitude decreases monotonically, the transformed pulse is characterized by an increase in the duration for the maximum constant amplitude portion and an increase in the duration of monotonically decreasing amplitude portion. The proposed operation involves multiplying the given pulse with a positive dc shifted version of the mirror image of the pulse, the image being taken around time axis and the amount of shift being equal to twice the peak amplitude of the pulse under consideration. The proposed operation is applied to Gaussian pulse, triangular pulse, raised cosine pulse and pulses derived from error functions and Gaussian pulses. When the proposed operation is applied recursively, the given pulse, irrespective of its original shape, transforms into a rectangular pulse. With each application of the said operation, the pulse energy increases reaching a value that is equal to that of a rectangular pulse.
Acknowledgements
The authors are grateful to the authorities of National Institute of Technology, Warangal, for providing the facilities to carry out the present work. The authors would like to thank the reviewers for their fruitful comments.
Disclosure statement
No potential conflict of interest was reported by the authors.
Additional information
Notes on contributors
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P. Hari Krishna Prasad
P Hari Krishna Prasad was born in 1964 in India. He obtained his BTech (ECE) in 1985 from College of Engineering, Anantapur, JNT University. He did MTech (Electronic Instrumentation & Communication Systems) in 1987 from SV University. He is working as Associate Professor, Department of ECE, National Institute of Technology, Warangal. He is a life member of IETE.
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L. Anjaneyulu
L Anjaneyulu was born in 1967 in India. He obtained his BTech (ECE) in 1989, MTech in 1991 and PhD in 2010 from NIT, Warangal, India. He worked as Project Officer at Institute of Armament Technology, Pune, India, for 5 years from 1991 and involved in the design of Surface borne and Air-borne Radar systems for clutter measurement application. Later, he worked as Staff Scientist at Helios Systems, Madras, India, for 2 years and engaged in the development of Radio Wave propagation assessment software modules for ship-borne radars. He has been with the Department of Electronics and Communications Engineering at National Institute of Technology, Warangal, India, since 1997. His areas of interest include Computer Networks, Electromagnetic Field Theory, Microwave & Radar Engineering and Neural Networks & Fuzzy Logic Systems. He has completed a few defence R&D Projects. He is a Life member of ISTE and a member of IEEE, IEEE Antennas and Propagation Society. Email: [email protected].