Uncertainty Principles for Fourier Multipliers

Northington, Michael

doi:10.1007/s00041-020-09783-1

Cited by 3 publications

(2 citation statements)

References 33 publications

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“…Although the study of uncertainty principles is nearly a century old, it continues to be an active and vibrant field of study, with new results coming out regularly (e.g., [8,15,17,27,29,30]-all from the past 12 months!). While many uncertainty principles are unlikely to fit into the simple framework above, we nonetheless hope that our technique will help develop this theory and find further applications.…”

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confidence: 99%

The uncertainty principle: Variations on a theme

Wigderson

2021

Bull. Amer. Math. Soc.

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confidence: 99%

The uncertainty principle: Variations on a theme

Wigderson

2021

Bull. Amer. Math. Soc.

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“…In terms of semiconductor manufacturing process, T. Maloney et al [16] have studied the relationship on different materials and the self-noise of semiconductor devices. C. Su et al [17,18] have developed the gate all-purpose junction less transistor with heavily doped polycrystalline silicon nanowire channel via using a new process, and have studied the current-voltage characteristics associated with the device. Su et al [19] have designed a silicon-based arch gate omnipotence (GAA) tunnel field effect transistor (TET) and analyzed its current characteristics.…”

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confidence: 99%

The Minimum AC Signal Model of Bipolar Transistor in Amplification Region for Weak Signal Detection

Huang

Miao

et al. 2021

Sensors

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This paper presents a minimum signal model via the AC small-signal model and the uncertainty principle, which reveals the minimum AC signal that can be amplified by a bipolar transistor. The Ebers—Moll model (EM3) can describe the small signal amplification process, but it is difficult to define the minimum amplifiable signal of the bipolar transistor. In this study, the correspondence relationship between the non-equilibrium carrier and the electric injection is proved, and the relationship between the life of the non-equilibrium carrier and the measurable signal is proposed by the uncertainty principle. Next, the limit of perceived minimum voltage is also derived in this paper. Then, combining with EM3 model, the minimum AC signal model of bipolar transistor is presented to calculate the minimum voltage signal of bipolar transistor that can be amplified. Finally, a number of the simulation and experiment results show that when the minimum signal in the model is used as input, the carrier concentration of the bipolar transistor does not change and the base electrode cannot perceive the signal, which verifies the validity of the minimum AC signal model.

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The Balian-Low Theorem for $$(C_q)$$-Systems in Shift-Invariant Spaces

Powell

2023

Applied and Numerical Harmonic Analysis

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Uncertainty Principles for Fourier Multipliers

Cited by 3 publications

References 33 publications

The uncertainty principle: Variations on a theme

The uncertainty principle: Variations on a theme

The Minimum AC Signal Model of Bipolar Transistor in Amplification Region for Weak Signal Detection

The Balian-Low Theorem for $$(C_q)$$-Systems in Shift-Invariant Spaces

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