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Maxentropic
Rate for RLL Codes
For run-length
limited (RLL) codes, this is the capacity or maximum code rate that is
achievable for a given set of (d,k) constraints. Remember, d is the minimum
number of 0s between 1s; k is the maximum number of 0s between 1s.
To calculate
the maxentropic rate, the RLL encoding rules are first represented as
a state diagram. This diagram is next represented as an adjacency matrix.
The maxentropic rate is the log base 2 of the maximum eigenvalue of the
adjacency matrix.
Here
is a table of various maxentropic rates (note, no maximum number of 1s
constraints or interleave constraints are considered)
|
k
|
d=0
|
d=1
|
|
1
|
0.6942
|
|
|
2
|
0.8791
|
0.4057
|
|
3
|
0.9468
|
0.5515
|
|
4
|
0.9752
|
0.6174
|
|
5
|
0.9881
|
0.6509
|
|
6
|
0.9942
|
0.6690
|
|
7
|
0.9971
|
0.6793
|
|
8
|
0.9986
|
0.6853
|
|
9
|
0.9993
|
0.6888
|
|
10
|
0.9996
|
0.6909
|
|
infinity
|
1.0000
|
0.6942
|
Breather
and Recirculation Filters
The size
of the particles that these filters pass is usually less than about 0.1
to 0.3 microns. More information is available from Donaldson Disk Drive
Filtration, W.L. Gore and Associates and 3M.
Hard
Disk Drive Glossary
Maxtor
offers a fairly comprehensive HDD glossary.
References
The
whole disk drive: There are a few books that attempt to cover all
of disk drive technology. The most comprehensive of these usually are
written by a collection of experts from the various fields of disk drive
technology. Our industry moves so quickly that these books are often outdated
shortly after they are printed. For starters, leaf through the Magnetic
Storage Handbook, 2nd edition, edited by C.Denis Mee and Eric
D. Daniel, Published in 1996 by McGraw-Hill, ISBN 0-07-041275-8.
The
PC: For a good overview of the insides of the PC -- hardware and software
-- check out Peter Norton's book Inside
the PC, 7th edition, Published by Sams Publishing, 1997, ISBN
0-672-31041-4.
Magnetics:
For a solid, understandable overview of basic magnetic recording, check
out John Mallinson's book The
Foundations of Magnetic Recording. The first edition (ISBN 0-12-466625-6)
was published by Academic Press in 1987, but the second edition came out
a few years ago.
If you want a more rigorous and mathematically intensive look at the magnetics
of writing and reading, turn to H. Neal Bertram's Theory
of Magnetic Recording, Published by Cambridge University Press
in 1994, ISBN 0-521-44512-4.
Heads:
John Mallinson has also written a very nice book on (G)MR heads for engineers,
Magneto-Resistive Heads: Fundamentals
and Applications, Published by Academic Press in 1996, ISBN 0-12-466630-2.
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