Unlimited Sampling Theorem Based on Fractional Fourier Transform

The recovery of bandlimited signals with high dynamic range is a hot issue in sampling research. unlimited theory expands the recordable traditional analog-to-digital converters (ADCs) arbitrarily, and signal folded back into low measurement, avoiding saturation problem. Since non-bandlimited Fourier domain cannot be directly applied to its existing theory, may fractional domain. Therefore, this brief report studies problem based on transform. Firstly, mathematical model for proposed. Secondly, model, annihilation filtering method used estimate arbitrary folding time. Finally, novel theorem obtained. proves that, characteristics self-reset ADC, number samples not affected by modulo threshold, any time can handled.