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The Unlimited Sensing Framework (USF)
=====================================

*Redefining Digital Representation, Acquisition, and Signal Processing*

Imagine capturing signals clearly and precisely—no matter how faint or powerful they are. Conventional digital systems often struggle, losing details when signals become too strong or too subtle. The **Unlimited Sensing Framework (USF)** provides a smarter, better approach.

USF (`US10651865B2 <https://patents.google.com/patent/US10651865B2/en>`_) introduces a revolutionary paradigm in digital sensing and signal processing by intentionally leveraging quantization noise, traditionally viewed as unwanted error, to effectively capture signals with exceptional dynamic range and digital resolution.

Consider the analogy of wrapping a long strand of spaghetti around a fork. Similarly, USF employs innovative hardware to fold powerful signals within the analog domain, preventing saturation and preserving critical high dynamic range (HDR) features without sacrificing digital resolution.

At the core of USF lies a groundbreaking mathematical insight: for smooth signals, the fractional part (quantization noise) inherently encodes information about the integer part (the quantized signal). In crux, for a fix bit-budget, the USF allows for recovery of arbitrarily HDR signals from a constant factor oversampling of its low dynamic range, modulo samples. Remarkably, the oversampling factor is independent of the maximum recordable voltage.

After digital acquisition, specialized mathematical algorithms decode these folded signals, reconstructing them with remarkable dynamic range and precision. This novel approach transforms what was once considered noise into valuable data, enabling unprecedented advancements in sensing technology.


.. admonition:: Live Hardware Demo of our Modulo Sampling ADC based on `[5] <https://patents.google.com/patent/US10651865B2/en>`_

   .. youtube:: JuZg80gUr8M
      :width: 100%

A Roadmap for the Existing Work
__________________________________
.. list-table::
   :header-rows: 1
   :widths: 1 1 1 1 1

   * - Signal Class
     - Sensing Architecture
     - Algorithms
     - Code 
     - Publications
   * - :ref:`bandlimited`
     - Point-wise
     - :ref:`us-alg` | :ref:`us_fp` | :ref:`Iter_SiS`
     - `Code <https://colab.research.google.com/drive/1qzWj2hye90Zcla4kRdUIONae5Ap-yNGb#scrollTo=SDgfhck9IQTF>`_
     - :cite:p:`Bhandari:2021:J`
   * -
     - Time-encoding
     -
     - Code
     - P
   * -
     - One-bit
     -
     - `Code <file:///Users/yuliang/Documents/GitHub/USF/build/html/_downloads/771870acc40cf5b11a49cd0d9c16e69a/MSDQ.m>`_
     - P
   * - :ref:`bandpass`
     - Point-wise
     -
     - `USF-BP <https://colab.research.google.com/drive/1gX_MOL9YAk9ubAB46j596FsVgePFJi6s>`_
     - :cite:p:`Shtendel:2023:J`
   * -
     - Dual-channel
     -
     - Code
     - P
   * - :ref:`complex_exp`
     - Point-wise
     -
     - Code
     - :cite:p:`Bhandari:2018:C`
   * -
     - Multi-channel (sub-Nyquist)
     -
     - Code
     - P
   * - :ref:`sparse`
     - Point-wise
     - US-SR
     - Code
     - :cite:p:`Bhandari:2022:Jb`
   * -
     - Multi-Channel
     -
     - Code
     - :cite:p:`Guo:2023:C`
   * - :ref:`splines`
     -
     -
     - Code
     - P



Contents
--------

.. toctree::
   :maxdepth: 2
   :includehidden:

   Theory
   Algorithms
   hardware/hardware
   Applications
   Publications