This paper studies the impact of quantization in integrate-and-fire time encoding machine (IF-TEM) sampler used for bandlimited (BL) and finite-rate-of-innovation (FRI) signals. An upper bound is derived for the mean squared error (MSE) of IF-TEM sampler and is compared against that of classical analog-to-digital converters (ADCs) with uniform sampling and quantization. The interplay between a signal's energy, bandwidth, and peak amplitude is used to identify how the MSE of IF-TEM sampler with quantization is influenced by these parameters. More precisely, the quantization step size of the IF-TEM sampler can be reduced when the maximum frequency of a bandlimited signal or the number of pulses of an FRI signal is increased. Leveraging this insight, specific parameter settings are identified for which the quantized IF-TEM sampler achieves an MSE bound that is roughly 8 dB lower than that of a classical ADC with the same number of bits. Experimental results validate the theoretical conclusions.

翻译：本文研究了积分点火时间编码机采样器中量化对带限信号和有限新息率信号的影响。推导了积分点火时间编码机采样器均方误差的上界，并将其与采用均匀采样和量化的经典模数转换器进行比较。通过信号的能量、带宽和峰值幅度之间的相互作用，确定了量化情况下积分点火时间编码机采样器的均方误差如何受这些参数影响。更精确地说，当带限信号的最大频率或有限新息率信号的脉冲数量增加时，可以减小积分点火时间编码机采样器的量化步长。基于这一见解，确定了特定的参数设置，使得量化后的积分点火时间编码机采样器在与相同比特数的经典模数转换器相比时，能够达到约低8分贝的均方误差上界。实验结果验证了理论结论。