Certain models are presented for analysis of Reed-Solomon (R-S) error
correction systems in the context of optimizing their use in magnetic
and optical disk storage devices. A brief statement of design consider
ations is noted with references as to which considerations are address
ed by the models. This work is motivated by the desire to achieve the
highest possible storage density within the constraints of user requir
ements (acceptable error rates, performance, etc.), recording code, re
cording channel, read channel, and cost, One pair of models treats con
version of soft error rates and burst length distributions from the re
ad channel into hard bit error rates for various levels of interleavin
g. Another model, using the above models, conservatively estimates und
etected bit error rate (miscorrection bit error rate). This model is c
loser to simulation examples than the previously published McEliece-Sw
anson bound [1], A third model includes effect of TA's (thermal asperi
ties) on hard bit error rate. A fourth set of models includes the effe
ct of thermal asperities (TA's) on an undetected bit error rate. Colle
ctively, these models provide a bridge between read channel portions o
f data storage systems and error correction systems. A fifth set of mo
dels addresses user-perceived performance. Finally, an example is offe
red based upon one set of sample data to show how the models can be ap
plied to help select an optimum system.