Special-purpose hardware has previously been proposed for recursive filter computations. In some cases the hardware capacity may not match the filter order, requiring the problem to be partitioned. Tradeoffs between hardware design, hardware dimensions and partitioning methods will be discussed.
Don E. Heller,
"Decomposition Of Recursive Filters For Linear Systolic Arrays", Proc. SPIE 0431, Real-Time Signal Processing VI, (28 November 1983); doi: 10.1117/12.936440; https://doi.org/10.1117/12.936440