Topic
Signal element
About: Signal element is a research topic. Over the lifetime, 311 publications have been published within this topic receiving 2662 citations.
Papers published on a yearly basis
1 / 2
Papers
30 Sep 2009
TL;DR: Using the replica method, the outcome of inferring about any fixed collection of signal elements is shown to be asymptotically decoupled, and the single-letter characterization is rigorously justified in the special case of sparse measurement matrices where belief propagation becomes asymPTotically optimal.
Abstract: Compressed sensing deals with the reconstruction of a high-dimensional signal from far fewer linear measurements, where the signal is known to admit a sparse representation in a certain linear space. The asymptotic scaling of the number of measurements needed for reconstruction as the dimension of the signal increases has been studied extensively. This work takes a fundamental perspective on the problem of inferring about individual elements of the sparse signal given the measurements, where the dimensions of the system become increasingly large. Using the replica method, the outcome of inferring about any fixed collection of signal elements is shown to be asymptotically decoupled, i.e., those elements become independent conditioned on the measurements. Furthermore, the problem of inferring about each signal element admits a single-letter characterization in the sense that the posterior distribution of the element, which is a sufficient statistic, becomes asymptotically identical to the posterior of inferring about the same element in scalar Gaussian noise. The result leads to simple characterization of all other elemental metrics of the compressed sensing problem, such as the mean squared error and the error probability for reconstructing the support set of the sparse signal. Finally, the single-letter characterization is rigorously justified in the special case of sparse measurement matrices where belief propagation becomes asymptotically optimal.
182 citations
Patent•
20 Jul 1999
TL;DR: Optical disk-based signal elements are disposed readably with the disk's tracking features and cleavable signal elements particularly suitable for use in the assay device and methods are described in this paper.
Abstract: Optical disk-based assay devices and methods are described, in which analyte-specific signal elements are disposed on an optical disk substrate. In preferred embodiments, the analyte-specific signal elements are disposed readably with the disk's tracking features. Also described are cleavable signal elements particularly suitable for use in the assay device and methods. Binding of the chosen analyte simultaneously to a first and a second analyte-specific side member of the cleavable signal element tethers the signal-responsive moiety to the signal element's substrate-attaching end, despite subsequent cleavage at the cleavage site that lies intermediate the first and second side members. The signal responsive moiety reflects, absorbs, or refracts incident laser light. Described are nucleic acid hybridization assays, nucleic acid sequencing, immunoassays, cell counting assays, and chemical detection. Adaptation of the assay device substrate to function as an optical waveguide permits assay geometries suitable for continuous monitoring applications.
177 citations
Patent•
14 Sep 2001TL;DR: In this paper, an inert encapsulation member encapsulates the signal element therein and defines a geometric shape of the resonating marker assembly, which has a geometric center point substantially coincident with the magnetic center point along at least a first axis of the signal elements.
Abstract: A miniature resonating marker assembly that includes, in one embodiment, a ferromagnetic core, a wire coil disposed around the core, and a capacitor connected to the wire coil adjacent to the magnetic core. The core, coil, and capacitor form a signal element that, when energized, generates a magnetic field at a selected resonant frequency. The magnetic field has a magnetic center point positioned along at least one axis of the signal element. An inert encapsulation member encapsulates the signal element therein and defines a geometric shape of the resonating marker assembly. The geometric shape has a geometric center point substantially coincident with the magnetic center point along at least a first axis of the signal element. The shape and configuration of the assembly also provides for a miniature signal element specifically tuned to resonate at a selected frequency with a high quality factor.
132 citations
Patent•
19 Apr 1991
TL;DR: A photography mode input system for inputting any selected one of a plurality of predetermined optional photography modes into a camera having a microcomputer for controlling exposure is described in this article, where a switch array comprises a series of switches each outputting a binary signal depending on whether each switch detects a notch, and the binary signals from the switches are read out as a binary code.
Abstract: A photography mode input system for inputting any selected one of a plurality of predetermined optional photography modes into a camera having a microcomputer for controlling exposure. The system comprises a series of cards each having a different signal element pattern such as a notch pattern each respectively corresponding to an optional photography mode, and a switch array for detecting the signal element pattern. The switch array is disposed in a slot formed in a holder on the camera, and is connected to the microcomputer. The card is made of opaque plastic material or paper. The switch array comprises a series of switches each outputting a binary signal depending on whether each switch detects a notch, and the binary signals from the switches are read out as a binary code, on the basis of which the corresponding optional photography mode is set in the camera.
107 citations
Patent•
13 Mar 2007
TL;DR: In this paper, a machine-implemented method was proposed to locate cardiac wave forms in a cardiac signal, and to detect a physiological condition, such as ventricular fibrillation.
Abstract: Systems and techniques relating to locating cardiac wave forms in a cardiac signal, and to detecting a physiological condition, such as ventricular fibrillation. In general, in one aspect, a machine-implemented method includes obtaining a sensed cardiac signal of an organism, the sensed cardiac signal comprising a time series x(t); applying a Hilbert (H) transform to the time series x(t) to obtain H(x(t)), wherein x(t) and H(x(t)) together forming a partial state space trajectory; determining a speed of trajectory, for the sensed cardiac signal, from the partial state space trajectory; and identifying physiological information concerning the organism based on a combination of first and second signal elements, the first signal element including a phase property or an amplitude property of the speed of trajectory, and the second signal element including an amplitude property of the partial state space trajectory.
84 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2021 | 2 |
| 2020 | 7 |
| 2019 | 4 |
| 2018 | 5 |
| 2017 | 4 |
| 2016 | 8 |