Generalized normal window for digital signal processing

The bandwidth and smoothness of windows play an important role in digital signal processing. In applications such as manufacturing process and quality monitoring, to radar target tracking and cellular communications, the design of appropriate windows is one of the crucial steps. In this paper the generalized normal function is introduced as a smooth and configurable window. With the aid of illustrations, the advantage of using this window over conventional windows is discussed.

[1]  F. Harris On the use of windows for harmonic analysis with the discrete Fourier transform , 1978, Proceedings of the IEEE.

[2]  T. Hughes,et al.  Signals and systems , 2006, Genome Biology.

[3]  Marek Gasior,et al.  Improving FFT Frequency Measurement Resolution by Parabolic and Gaussian Spectrum Interpolation , 2004 .

[4]  A. Nuttall Some windows with very good sidelobe behavior , 1981 .

[5]  Stéphane Mallat,et al.  Matching pursuits with time-frequency dictionaries , 1993, IEEE Trans. Signal Process..

[6]  Closed Expression for Characteristic Function of CEPE Distribution , 2010 .

[7]  Darryl Morrell,et al.  Advances in Waveform-Agile Sensing for Tracking , 2008, Advances in Waveform-Agile Sensing for Tracking.

[8]  M. Gasior,et al.  POUR LA RECHERCHE NUCLEAIRE CERN – AB DIVISION AB-Note-2004-021 BDI IMPROVING FFT FREQUENCY MEASUREMENT RESOLUTION BY PARABOLIC AND GAUSSIAN INTERPOLATION , 2004 .

[9]  F. Dubeau,et al.  THE FOURIER TRANSFORM OF THE MULTIDIMENTIONAL GENERALIZED GAUSSIAN DISTRIBUTION , 2011 .

[10]  F. Hlawatsch,et al.  Linear and quadratic time-frequency signal representations , 1992, IEEE Signal Processing Magazine.

[11]  D. hakraborty.,et al.  Damage Classification Structural Health Monitoring in Bolted Structures Using Time-frequency Techniques , 2013 .

[12]  Bhavana Chakraborty Advancements in waveform design for MIMO radar and urban multipath exploitation radar , 2010 .

[13]  S. Nadarajah A generalized normal distribution , 2005 .