Abstract

Auxiliary pilot tone insertion, used for positioning the servo of magnetic or optical disk recorders, requires codes that give rise to a spectral null at an arbitrary frequency. Sequences with asymetrical runlength constraints containing spectral nulls at rational submultiples of the symbol frequency are investigated. A sufficient condition for spectral nulls at rational submultiples of the symbol frequency is given in terms of a simple runlength requirement. A new code with rate=1/3 is presented with spectral nulls at the normalized symbol frequencies 1/4, 1/2, and 3/4.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>

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