Design and FPGA-implementation of 1st-order 4D IIR frequency-hyperplanar digital filters

Four-dimensional (4D) 1^st-order frequency-hyperplanar digital filters have emerging applications in computed tomography (CT), volumetric ultrasound, and light field processing for computer vision. A novel IIR architecture for real-time implementation of such filters is proposed, and two single-chip prototypes are implemented on Xilinx Virtex-4 Sx35ff668-10 FPGAs. Experimental results from the FPGA physical implementation as well as simulated 4D frequency responses of the two 4D IIR filter realizations are used to quantify the proposed circuits in terms of frequency response, speed and FPGA resource utilization.