# Design and Analysis of Hardware-limited Non-uniform Task-based Quantizers

arXiv: https://arxiv.org/abs/2208.07525 · HTML: https://mlsanity.com/paper/2208.07525/

## Key facts

- Cited by 4 papers in the map (data through 14 Oct 2026).
- Builds on 11 of its 50 references that are in the map.
- First posted on arXiv 16 Aug 2022.

## Builds on (most cited first, 11 of 11)

- [Deep Task-Based Quantization](https://mlsanity.com/paper/1908.06845/) (2019)
- [LoRD-Net: Unfolded Deep Detection Network with Low-Resolution Receivers](https://mlsanity.com/paper/2102.02993/) (2021)
- [Asymptotic Task-Based Quantization with Application to Massive MIMO](https://mlsanity.com/paper/1811.10077/) (2018)
- [Task-Based Analog-to-Digital Converters](https://mlsanity.com/paper/2009.14088/) (2020)
- [BiLiMO: Bit-Limited MIMO Radar via Task-Based Quantization](https://mlsanity.com/paper/2010.00195/) (2020)
- [The Bussgang Decomposition of Non-Linear Systems: Basic Theory and MIMO Extensions](https://mlsanity.com/paper/2005.01597/) (2020)
- [Task-Based Quantization with Application to MIMO Receivers](https://mlsanity.com/paper/2002.04290/) (2020)
- [On Minimizing Symbol Error Rate Over Fading Channels with Low-Resolution Quantization](https://mlsanity.com/paper/2106.11524/) (2021)
- [Capacity Bounds for One-Bit MIMO Gaussian Channels with Analog Combining](https://mlsanity.com/paper/2204.04033/) (2022)
- [Advanced Receiver Architectures for Millimeter Wave Communications with Low-Resolution ADCs](https://mlsanity.com/paper/2003.03683/) (2020)
- [On the Capacity-Achieving Input of the Gaussian Channel with Polar Quantization](https://mlsanity.com/paper/2205.05850/) (2022)

## Built on by (most cited first, 4 of 4)

- [OFDM-Based Digital Semantic Communication with Importance Awareness](https://mlsanity.com/paper/2401.02178/) (2024)
- [Pragmatic Communication in Multi-Agent Collaborative Perception](https://mlsanity.com/paper/2401.12694/) (2024)
- [Remote Inference over Dynamic Links via Adaptive Rate Deep Task-Oriented Vector Quantization](https://mlsanity.com/paper/2501.02521/) (2025)
- [Non-Linear Analog Processing Gains in Task-Based Quantization](https://mlsanity.com/paper/2402.01525/) (2024)

## Abstract (arXiv)

Hardware-limited task-based quantization is a new design paradigm for data acquisition systems equipped with serial scalar analog-to-digital converters using a small number of bits. By taking into account the underlying system task, task-based quantizers can efficiently recover the desired parameters from the low-bit quantized observation. Current design and analysis frameworks for hardware-limited task-based quantization are only applicable to inputs with bounded support and uniform quantizers with non-subtractive dithering. Here, we propose a new framework based on generalized Bussgang decomposition that enables the design and analysis of hardware-limited task-based quantizers that are equipped with non-uniform scalar quantizers or that have inputs with unbounded support. We first consider the scenario in which the task is linear. Under this scenario, we derive new pre-quantization and post-quantization linear mappings for task-based quantizers with mean squared error (MSE) that closely matches the theoretical MSE. Next, we extend the proposed analysis framework to quadratic tasks. We demonstrate that our derived analytical expression for the MSE accurately predicts the performance of task-based quantizers with quadratic tasks.