Hardware Realization of Vector and Matrix Norm Calculation for Signal Processing Applications

Norm calculation for vectors and matrices is a fundamental mathematical operation that has been widely utilized across various domains, including signal processing and wireless communication systems. In this paper, a pioneering approach is introduced for implementing norm calculations pertaining to vectors and matrices. The key idea involves the application of the in memory computing (IMC) technique, where computations are executed through a series of memristive devices. More precisely, the fundamental multiplication and addition operations leverage the inherent properties of memristor devices, following the principles of Ohm's law and Kirchhoff's current law. This innovative approach not only enhances flexibility by leveraging the unique capabilities of IMC in programming memristors but also emphasizes processing efficiency. Consequently, through the reduction of computational complexity and latency, it outperforms traditional implementation approaches.