An Analog Resonant Architecture for Performing the Discrete Fourier Transform Using Tensioned Membrane Arrays

We present a novel analog computational architecture that performs the Discrete Fourier Transform (DFT) by leveraging a vertically stacked array of tensioned membranes, each tuned to a specific resonant frequency. Instead of relying on digital sampling and arithmetic operations, this system physically decomposes input waveforms into frequency components via selective resonance. Energy from the input waveform accumulates in the corresponding resonant membrane, allowing instantaneous analog computation of frequency coefficients. The architecture offers a scalable, low-power alternative to traditional digital FFT hardware and enables new modes of computation in environments where physical interaction, sensory feedback, or low-latency analog processing is critical.