Abstract
Minimum shift keying (MSK)-type signals, while possessing all the advantages of MSK, allow input data pulse shaping in order to obtain more desirable spectral behavior. This paper presents a set of conditions on the pulse shape which enable an MSK-type signal to have a fast spectral rolloff. An <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">M</tex> th order shaping function, resulting in an asymptotic spectral falloff as <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">| f |^{-(4M + 4)}</tex> , is presented. Previously considered schemes such as MSK and sinusoidal frequency shift keying (SFSK) are shown to be special eases of this shaping function.
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