The square root raised cosine wavelet and its relation to the Meyer functions

A special case of the Meyer scaling function is shown to coincide with the square root raised cosine (SRRC) communication pulse, provided the fractional excess bandwidth is bounded above by one third. This pulse is widely used in digital transmission systems including the North American TDMA cellula...

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Bibliographic Details
Published inIEEE transactions on signal processing Vol. 49; no. 1; pp. 248 - 251
Main Authors Jones, W.W., Dill, J.C.
Format Journal Article
LanguageEnglish
Published New York IEEE 01.01.2001
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Additive white noise
Amplitude estimation
Bandwidth
Delay estimation
Digital
Exact solutions
Joints
Mathematical analysis
Maximum likelihood estimation
Noise level
Pulse shaping methods
Roots
Signal processing algorithms
Signal to noise ratio
Wavelet
White noise
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Summary:A special case of the Meyer scaling function is shown to coincide with the square root raised cosine (SRRC) communication pulse, provided the fractional excess bandwidth is bounded above by one third. This pulse is widely used in digital transmission systems including the North American TDMA cellular standard. Having made this connection, we proceed to derive the time-domain SRRC wavelet in closed form. Although the SRRC wavelet with nonzero excess bandwidth reduces to the ideal sinc wavelet, allowing for a valid nonzero excess bandwidth produces a wavelet of practical interest particularly for communication applications.
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ISSN:1053-587X
1941-0476
DOI:10.1109/78.890369