Time Encoding Quantization of Bandlimited and Finite-Rate-of-Innovation Signals
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2021
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| _version_ | 1866913338348273664 |
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| author | Naaman, Hila Bernardo, Neil Irwin Cohen, Alejandro Eldar, Yonina C. |
| author_facet | Naaman, Hila Bernardo, Neil Irwin Cohen, Alejandro Eldar, Yonina C. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2110_01928 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Time Encoding Quantization of Bandlimited and Finite-Rate-of-Innovation Signals Naaman, Hila Bernardo, Neil Irwin Cohen, Alejandro Eldar, Yonina C. Information Theory Signal Processing 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. |
| title | Time Encoding Quantization of Bandlimited and Finite-Rate-of-Innovation Signals |
| topic | Information Theory Signal Processing |
| url | https://arxiv.org/abs/2110.01928 |