On Walsh Filtering Method for Decoding of CPM Signals

Fu, Minyue; Wade, Graham; Ning, Jun; Jakobs, R.

doi:10.1109/lcomm.2004.828184

Cited by 6 publications

(2 citation statements)

References 3 publications

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“…Derived from radial Walsh functions [2][3][4], radial Walsh filters form a set of orthogonal phase filters that take on values either 0 or phase, corresponding to +1 or −1 value of the radial Walsh functions over the prespecified annular regions of the circular filter. They may be considered as binary zone plates [5,6] and have wide range of applications [7][8][9][10][11][12][13][14][15]. The order of the Walsh filter is equal to the number of zeros crossing within the specified domain.…”

Section: Introductionmentioning

confidence: 99%

Self-Similarity in Transverse Intensity Distributions in the Farfield Diffraction Pattern of Radial Walsh Filters

Mukherjee

Hazra

2014

Advances in Optics

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In a recent communication we reported the self-similarity in radial Walsh filters. The set of radial Walsh filters have been classified into distinct self-similar groups, where members of each group possess self-similar structures or phase sequences. It has been observed that, the axial intensity distributions in the farfield diffraction pattern of these self-similar radial Walsh filters are also self-similar. In this paper we report the self-similarity in the intensity distributions on a transverse plane in the farfield diffraction patterns of the self-similar radial Walsh filters.

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Section: Introductionmentioning

confidence: 99%

Self-Similarity in Transverse Intensity Distributions in the Farfield Diffraction Pattern of Radial Walsh Filters

Mukherjee

Hazra

2014

Advances in Optics

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“…Walsh functions find many applications in communication, signal coding and transmission, allied problems of information processing, and in digital image processing [2][3][4][5]. For tackling problems of optical image formation, two-dimensional Walsh functions were reformulated in polar coordinates, and radial Walsh functions were developed for the azimuth invariant case for tackling problems of apodization and adaptive optics [6][7][8][9].…”

Section: Introductionmentioning

confidence: 99%

Self-similarity in radial Walsh filters and axial intensity distributions in the far-field diffraction pattern

Mukherjee¹,

Hazra²

2014

J. Opt. Soc. Am. A

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Pupil plane filtering by radial Walsh filters is a convenient technique for tailoring the axial intensity distribution near the focal plane of a rotationally symmetric imaging system. Radial Walsh filters, derived from radial Walsh functions, form a set of orthogonal phase filters that take on values either 0 or π phase, corresponding to +1 or -1 values of the radial Walsh functions over prespecified annular regions of the circular filter. Order of these filters is given by the number of zero-crossings, or equivalently phase transitions within the domain over which the set is defined. In general, radial Walsh filters are binary phase zone plates, each of them demonstrating distinct focusing characteristics. The set of radial Walsh filters can be classified into distinct groups, where the members of each group possess self-similar structures. Self-similarity can also be observed in the corresponding axial intensity distributions. These observations provide valuable clues in tackling the inverse problem of synthesis of phase filter in accordance with prespecified axial intensity distributions. This paper reports our observations on self-similarity in radial Walsh filters of various orders and corresponding axial intensity distributions.

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2013

Wireless Communications

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On Walsh Filtering Method for Decoding of CPM Signals

Cited by 6 publications

References 3 publications

Self-Similarity in Transverse Intensity Distributions in the Farfield Diffraction Pattern of Radial Walsh Filters

Self-Similarity in Transverse Intensity Distributions in the Farfield Diffraction Pattern of Radial Walsh Filters

Self-similarity in radial Walsh filters and axial intensity distributions in the far-field diffraction pattern

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