Systems and methods for derivative level-crossing sampling
AssigneeThe Trustees of Columbia University in the City of New York
InventorsSharvil Pradeep Patil, Yannis Tsividis, Pablo Martinez Nuevo
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Abstract
The derivative of an input signal is level-crossing-sampled and the resulting samples are transmitted. At the receiver, the resulting samples are fed to a zero-order hold followed by an integrator, which results in piecewise-linear reconstruction. The systems and methods are further refined to reduce the number of samples generated per unit of time, compared to methods based on zero-order-hold reconstruction, for a given signal-to-error ratio, without significant hardware overhead.
Claims16
A system for reconstructing an input signal comprising:
- a differentiator configured to receive the input signal and generate a first signal representing the first derivative of the input signal;
- a level-crossing sampling block configured to receive the first signal and generate level-crossed samples;
- a zero-order holding block configured to receive the level-crossed samples and generate a quantized signal;
- and
- an integrator configured to receive the quantized signal and generate a second signal representing a reconstructed signal of the input signal;
- wherein the quantized signal is generated using non-uniform quantization.
A method for reconstructing an input signal comprising:
- receiving by a differentiator the input signal and generating a first signal representing the first derivative of the input signal;
- receiving by a level-crossing sampling block the first signal and generating level-crossed samples of the first signal;
- receiving by a zero-order holding block the level-crossed samples and generating a quantized signal;
- and
- receiving by an integrator the quantized signal and generating a second signal representing a reconstructed signal of the input signal;
- wherein the quantized signal is generated using non-uniform quantization.
A method for reconstructing an input signal comprising:
- receiving by a first differentiator the input signal and generating a first signal representing the first derivative of the input signal;
- receiving by a second differentiator the first signal and generating a second signal representing the second derivative of the input signal;
- receiving by a controller the second signal and generating a quantization step;
- receiving by a level-crossing sampling block the first signal and the quantization step and generating level-crossed samples;
- receiving by a zero-order holding block the level-crossed samples and the quantization step and generating a quantized signal;
- and
- receiving by an integrator the quantized signal and the quantization step and generating a third signal representing a reconstructed signal of the input signal.
Dependencies are inferred from the claim text.