Quantization Analysis and Reconstruction Error Bounds for Bandlimited and Finite-Rate-of-Innovation Signals using Integrate-and-Fire Time Encoding Machines

The quantization step size of the integrate-and-fire time encoding machine (IF-TEM) sampler can be reduced when the maximum frequency of a bandlimited signal or the number of pulses of a finite-rate-of-innovation (FRI) signal is increased. This allows the IF-TEM sampler to achieve a mean squared error (MSE) bound that is roughly 8 dB lower than that of a classical analog-to-digital converter (ADC) with the same number of bits, under specific parameter settings.