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The fast Fourier transform (FFT) is a highly efficient algorithm for computing the discrete Fourier transform (DFT). It is widely employed in various applications, including digital communication, image processing, and signal analysis. Recently, in-memory computing architectures based on emerging technologies, such as resistive RAM (RRAM), have demonstrated promising performance with low hardware cost for data-intensive applications. However, directly mapping FFT onto RRAM crossbars is challenging because the algorithm relies on many small, sequential butterfly operations, while cross-bars are optimized for large-scale, highly parallel vector–matrix multiplications (VMMs). In this paper, we introduce ReFFT, a system architecture that reformulates FFT computations for efficient execution on RRAM crossbars. ReFFT combines the reduced computational complexity of FFT with the parallel VMM capability of RRAM. We incorporate measured device data into our framework to analyze the effect of variability and develop an adaptive mapping scheme that improves twiddle-factor programming accuracy, leading to a 9.9 dB peak signal-to-noise ratio (PSNR) improvement for a 256-point FFT. Compared with prior RRAM-based DFT designs, ReFFT achieves up to 4.6× and 19.5× higher energy efficiency for 256- and 2048-point FFTs, respectively. The system is further validated in digital communication and satellite image compression tasks.

The growing computational demands of convolutional neural networks (CNNs) have motivated the use of spectral-domain inference as an alternative to costly spatial-domain convolutions. In this work, we propose a resistive RAM (RRAM)-based spectral-domain convolutional layer that exploits in-memory computing (IMC) for low energy consumption and high parallelism. Both the 2-D Fourier transform and the elementwise multiplications are directly executed on RRAM crossbar arrays, while Hermitian symmetry is leveraged to further enhance the energy efficiency of the transform and subsequent spectral processing. To ensure robustness, the measured RRAM device data are incorporated into system-level simulations to evaluate inference accuracy under the impact of device variability. Furthermore, we introduce a layer-wise mapping framework that adaptively selects between spatial- and spectral-domain execution based on the tradeoff between energy efficiency and accuracy. Simulation results show that the proposed design achieves up to a$2.18\times $improvement in energy efficiency across various convolutional layer configurations compared with the spatial-domain design. For VGG-8 on CIFAR-100, the proposed architecture with the layer-wise mapping scheme reduces the energy-delay product (EDP) by 45% while incurring negligible accuracy loss. This work presents the first complete RRAM-based spectral-domain convolutional layer that accounts for device variability, providing a promising solution for edge CNN inference.

Resistive RAM (RRAM) has emerged as a promising non-volatile memory technology for implementing energy-efficient hardware accelerators within the in-memory computing (IMC) paradigm. However, due to the immature fabrication process and inherent material instabilities, frequent read operations during computations can induce read disturb effects, leading to unintended resistance drift and potential data corruption. Existing mitigation approaches primarily focus on detecting read disturb effects and triggering memory refresh operations. In this work, we propose an architecture-level solution that mitigates read disturb in RRAM-based accelerators. Our strategy employs crossbar duplication and decomposes the single high input pulse into two lower-amplitude pulses, effectively minimizing the risk of read disturb. To validate our approach, we develop a simulation framework that incorporates measurement data from characterized RRAM devices under read disturb stress conditions. Experimental results on VGG-8 with CIFAR-10 demonstrate that the proposed method significantly mitigates inference accuracy degradation caused by read disturb in RRAM-based accelerators, while incurring modest area and energy overheads of 12.32% and 2.15%, respectively. This work provides a practical and scalable solution for enhancing the robustness of RRAM-based accelerators in edge and high-performance computing applications.

Emerging non-volatile memories (eNVMs) such as resistive random-access memory (RRAM) offer an alternative solution compared to standard CMOS technologies for implementation of in-memory computing (IMC) units used in artificial neural network (ANN) applications. Existing measurement equipment for device characterisation and programming of such eNVMs are usually bulky and expensive. In this work, we present a compact size characterization platform for RRAM devices, including a custom programming unit IC that occupies less than 1 mm2of silicon area. Our platform is capable of testing one-transistor-one-RRAM (1T1R) as well as one-transistor-multiple-RRAM (1TNR) cells. Thus, to the best knowledge of the authors, this is the first demonstration of an integrated programming interface for 1TNR cells. The 1T2R IMC cells were fabricated in the IHP’s 130 nm BiCMOS technology and, in combination with other parts of the platform, are able to provide more synaptic weight resolution for ANN model applications while simultaneously decreasing the energy consumption by 50 %. The platform can generate programming voltage pulses with a 3.3 mV accuracy. Using the incremental step pulse with verify algorithm (ISPVA) we achieve 5 non-overlapping resistive states per 1T1R device. Based on those 1T1R base states we measure 15 resulting state combinations in the 1T2R cells.

The Discrete Fourier Transform (DFT) holds a prominent place in the field of signal processing. The development of DFT accelerators in edge devices requires high energy efficiency due to the limited battery capacity. In this context, emerging devices such as resistive RAM (RRAM) provide a promising solution. They enable the design of high-density crossbar arrays and facilitate massively parallel and in situ computations within memory. However, the reliability and performance of the RRAM-based systems are compromised by the device non-idealities, especially when executing DFT computations that demand high precision. In this paper, we propose a novel adaptive variability-aware crossbar mapping scheme to address the computational errors caused by the device variability. To quantitatively assess the impact of variability in a communication scenario, we implemented an end-to-end simulation framework integrating the modulation and demodulation schemes. When combining the presented mapping scheme with an optimized architecture to compute DFT and inverse DFT(IDFT), compared to the state-of-the-art architecture, our simulation results demonstrate energy and area savings of up to 57 % and 18 %, respectively. Meanwhile, the DFT matrix mapping error is reduced by 83% compared to conventional mapping. In a case study involving 16-quadrature amplitude modulation (QAM), with the optimized architecture prioritizing energy efficiency, we observed a bit error rate (BER) reduction from 1.6e-2 to 7.3e-5. As for the conventional architecture, the BER is optimized from 2.9e-3 to zero.

In-memory computing (IMC) is gaining momentum as the most promising candidate for the upcoming non-von-Neumann, machine learning-optimized computing paradigm. Its intrinsic parallelism is well-suited to accelerate matrix-vector multiplications (MVM), which prove challenging for traditional architectures and are a fundamental operation in principal component analysis (PCA), one of the most renowned algorithms for data classification. Here, we show an experimental demonstration of a novel, IMC-based PCA algorithm by in-memory power iteration and deflation executed in a 4-kbit array of resistive random-access memory (RRAM). Our algorithm achieves 95.25% classification accuracy on the Wisconsin Diagnostic Breast Cancer dataset, matching closely results of a floating-point machine while providing a $250\times$ improvement in energy efficiency.

Resistive-switching random access memory (RRAM) is a promising technology that enables advanced applications in the field of in-memory computing (IMC). By operating the memory array in the analogue domain, RRAM-based IMC architectures can dramatically improve the energy efficiency of deep neural networks (DNNs). However, achieving a high inference accuracy is challenged by significant variation of RRAM conductance levels, which can be compensated by (i) advanced programming techniques and (ii) variability-aware training (VAT) algorithms. In both cases, however, detailed knowledge and accurate physics-based statistical models of RRAM are needed to develop programming and VAT methodologies. This work presents an end-to-end approach to the development of highly-accurate IMC circuits with RRAM, encompassing the device modeling, the precise programming algorithm, and the VAT simulations to maximize the DNN classification accuracy in presence of conductance variations.