Efficient systolic architectures for 1-D and 2-D DLMS adaptive digital filters

In this paper, we propose two efficient systolic architectures for 1-D and 2-D Delay Least-Mean-Square (DLMS) adaptive digital filters. Using our developed architectures, higher convergence rate and Signal-to-Noise Ratio (SNR) than those of the conventional DLMS structure can be obtained without sacrificing the properties of the systolic architecture. Furthermore, the adaptive digital filters operate at the highest throughout due to the new tree-systolic processing element. Besides, based on our proposed optimized rule, one can easily design N th tap and window size N × N systolic adaptive digital filters with the compromise of minimum delay and high regularity under the constraint of the maximum number of tap-connections of the feedback signal.