Sensitivity Analysis Of 3-D Recursive Digital Beam Filter Structures

Three dimensional (3-D) recursive digital beam filters may be designed from 3-D inductor capacitor-resistor analog prototype networks. It is known that such filters may be realized as direct-form (DF) signal flow graphs or, as recently suggested, as wave digital (WD) signal flow graphs. The latter structures are known to be computationally less intensive. In this contribution, it is shown that the multiplier coefficient quantization errors are far less for 3-D WD filters compared with 3-D DF filters, thereby allowing much shorter wordlengths to be employed.