Circuits, Systems, and Signal Processing

, Volume 38, Issue 5, pp 2380–2386 | Cite as

A Versatile Hyperbolic Cosine Window for Spectral Resolution

  • Raghavendra G. KulkarniEmail author
Short Paper


A simple but versatile hyperbolic cosine window function is presented in this paper, which has two terms in the time domain. A parameter p in the window can be varied to make the mainlobe width of the window function to approach that of a rectangular window (\(\pm 1/T,\)) while maintaining higher sidelobe decay (12 dB/octave.) Even though such behavior has been demonstrated by the two-term polynomial window, it suffers from the limitation that only some discrete values of mainlobe widths can be achieved in the range, \(\pm 1/T\) to \(\pm 1.5/T\). The proposed hyperbolic cosine window has no such limitation; one can achieve any desired value of mainlobe width in the above range. The proposed window can be employed for applications involving spectral resolution.


Hyperbolic cosine window Polynomial window Spectral resolution Decay of sidelobes Mainlobe width 



The author thanks the management of PES University for supporting this work. The valuable comments of Associate Editor and the anonymous referees improved the manuscript considerably.


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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Electronics and Communication EngineeringPES UniversityBengaluruIndia

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