Many hardware designs, especially those for signal and image processing, involve structured data access such as queues, stacks and stripes. This work presents parametric descriptions as abstractions for such structured data access, and explains how these abstractions can be supported either as FPGA libraries targeting existing reconfigurable hardware devices, or as dedicated logic implementations forming autonomous memory blocks (AMBs). Scalable architectures combining the address generation logic in AMBs together to provide larger storage with parallel data access, are also examined. The effectiveness of this approach is illustrated with size and performance estimates for our FPGA libraries and dedicated logic implementations of AMBs. It is shown that for two-dimensional filtering, the dedicated AMBs can be 7 times smaller and 5 times faster than the FPGA libraries performing the same function.