Finite field based short error propagation modulation codes

Details Finite field based short error propagation modulation codes Finite field based short error propagation modulation codes

2011-03-15

2011-03-15

Negrón, Daniell L (Department: 2627)

Dynamic magnetic information storage or retrieval

Modulating or demodulating

C369S047190, C714S758000

Reexamination Certificate

active

07907359

ABSTRACT:
The invention relates to a data modulation method applicable to make data streams tend to have desired properties, useful for clock recovery, making signals more distinguishable, or enforcing run-length conditions. A stream of input data and a corresponding stream of output data are grouped into elements of a finite field. Input elements of said input data are modified by a transform generating output elements of the output data, such that a current output element is a linear combination of a current input element and at least one previous output element. A multiplier applied to at least one previous output element is a non-zero and non-unity element of the finite field. A set of initial conditions inherent to the transform, is selected such that the output elements resulting from the transform tend to have the desired property.

REFERENCES:
patent: 2003/0192007 (2003-10-01), Miller et al.
patent: 2004/0059980 (2004-03-01), Bliss et al.
patent: 2004/0059993 (2004-03-01), Ashley et al.
patent: 2006/0048038 (2006-03-01), Yedidia et al.
Wood, Roger et al., “Perpendicular Recording: The Promise and The Problems,” JMMM, 2001, pp. 1-9, vol. 235.
European Search Report dated Mar. 15, 2006.

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