Abstract
A simple form of a window function with application to FIR filter design is implemented two parts, that is using polynomial functions with grade two and three and computational complexity becomes unavoidable. The spectral characteristic of proposed window is studied in details, and its performance is compared with traditional windows such as Kaiser Window. This is performed in ripple ratio and sidelobe roll-off ratio for the same window length and normalized mainlobe width. Simulation results show that proposed window presents better ripple ratio for the both narrower and wider mainlobe width and larger sidelobe roll-off ratio, The new window is almost quasi equi-ripple. The other advantages for our window are ability to use in various applications by changing two parameters this window can change it’s time frame and spectrum and want smaller window length compared with other windows.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Antoniou, A.: Digital signal processing: Signal, systems, and filters. McGraw-Hill (2005)
Kaiser, J.F., Schafer, R.W.: On the use of the Io-sinh window for spectrum analysis. IEEE Trans. Acoustics, Speech, and Signal Processing 28(1), 105–107 (1980)
Kaiser, J.F.: Nonrecursive digital filter design using I0-sinh window function. In: Proc. IEEE Int. Symp. Circuits and Systems (ISCAS 1974), San Francisco, Calif., USA, pp. 20–23 (April 1974)
Dolph, C.L.: A Current Distribution for Broadside Arrays Which Optimizes the Relationship Between Beamwidth and Side-lobe Level. In: Proc. IRE, vol. 34, pp. 335–348 (June 1946)
Saramaki, T.: A class of window functions with nearly minimum sidelobe energy for designing FIR filters. In: Proc. IEEE Int. Symp. Circuits and Systems (ISCAS 1989), Portland, Ore., USA, vol. 1, pp. 359–362 (1989)
Bergen, S.W.A., Antoniou, A.: Design of Ultraspherical window functions with prescribed spectral characteristics. EURASIP Journal on Applied Signal Processing (13), 2053–2065 (2004)
Oppenheim, A., Schafer, R., Buck, J.: Discrete-Time Signal Processing, 2nd edn. Prentice-Hall (1999)
Proakis, J., Manolakis, D.G.: Digital Signal Processing, 4th edn. Prentice-Hall (2007)
Antoniou, A.: Digital Filters. McGraw-Hill Inc., N.Y (1993)
Tukey, J.W.: An introduction to the calculations of numerical spectrum analysis. Spectral Analysis of Time Series, 25–46 (1967)
Deczky, A.G.: Unispherical windows. In: Proceedings IEEE ISCS, vol. II, pp. 85–89 (2001)
Jascula, M.: New windows family based on modified Legendre polynomials. In: Proceedings IEEE IMTC, pp. 553–556 (2002)
Zierhofer, C.M.: Data window with tunable side lobe ripple decay. IEEE Signal Processing Letters 14(11) (November 2007)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Nouri, M., Aghdam, S.A., Aghdam, S.A. (2011). Analysis of Novel Window Based on the Polynomial Functions. In: Das, V.V., Thankachan, N. (eds) Computational Intelligence and Information Technology. CIIT 2011. Communications in Computer and Information Science, vol 250. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25734-6_8
Download citation
DOI: https://doi.org/10.1007/978-3-642-25734-6_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-25733-9
Online ISBN: 978-3-642-25734-6
eBook Packages: Computer ScienceComputer Science (R0)