Pipeline interleaving and parallelism in recursive digital filters.I. Pipelining using scattered look-ahead and decomposition
Parhi, K.K.; Messerschmitt, D.G.
Acoustics, Speech and Signal Processing, IEEE Transactions on
Volume 37, Issue 7, Jul 1989 Page(s):1099 - 1117
Digital Object Identifier 10.1109/29.32286
Summary:A look-ahead approach (referred to as scattered look-ahead) to
pipeline recursive loops is introduced in a way that guarantees
stability. A decomposition technique is proposed to implement the
nonrecursive portion (generated due to the scattered look-ahead process)
in a decomposed manner to obtain concurrent stable pipelined
realizations of logarithmic implementation complexity with respect to
the number of loop pipeline stages (as opposed to linear). The upper
bound on the roundoff error in these pipelined filters is shown to
improve with an increase in the number of loop pipeline stages.
Efficient pipelined realizations are studied of both direct-form and
state-space-form recursive digital filters. Based on the scattered
look-ahead technique, fully pipelined and fully hardware efficient
linear bidirectional systolic arrays for recursive digital filters are
presented. The decomposition technique is extended to time-varying
recursive systems
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