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Related Concept Videos

Continuous Charge Distributions01:17

Continuous Charge Distributions

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Imagine a bucket of water. It contains many molecules, of the order of 1026 molecules. Thus, although it contains discrete elements (molecules) at the microscopic level, macroscopically, it can be considered continuous. Small volume elements of water, infinitesimal compared to the bulk of the bucket's volume, still contain many molecules. Under this framework, quantized matter is approximated as continuous for practical purposes.
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In physics, symmetry in a system means that something in the considered system remains unchanged due to a specific operation to which it is subjected. For example, consider a horizontal square. The square looks the same if its right and left sides are interchanged. Hence, it is symmetric under a right-left interchange.
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Basic Continuous Time Signals01:22

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Basic continuous-time signals include the unit step function, unit impulse function, and unit ramp function, collectively referred to as singularity functions. Singularity functions are characterized by discontinuities or discontinuous derivatives.
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Sampling Continuous Time Signal01:11

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In signal processing, a continuous-time signal can be sampled using an impulse-train sampling technique, followed by the zero-order hold method. Impulse-train sampling involves the use of a periodic impulse train, which consists of a series of delta functions spaced at regular intervals determined by the sampling period. When a continuous-time signal is multiplied by this impulse train, it generates impulses with amplitudes corresponding to the signal's values at the sampling points.
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Continuous -time Fourier Transform01:11

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The Fourier series is instrumental in representing periodic functions, offering a powerful method to decompose such functions into a sum of sinusoids. This technique, however, necessitates modification when applied to nonperiodic functions. Consider a pulse-train waveform consisting of a series of rectangular pulses. When these pulses have a finite period, they can be accurately represented by a Fourier series. Yet, as the period approaches infinity, resulting in a single, isolated pulse, the...
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Formal Charges02:42

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In some cases, there are seemingly more than one valid Lewis structures for molecules and polyatomic ions. The concept of formal charges can be used to help predict the most appropriate Lewis structure when more than one reasonable structure exists.
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Continuous-Time Acquisition of Biosignals Using a Charge-Based ADC Topology.

Michal Maslik, Yan Liu, Tor Sverre Lande

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    Continuous-time (CT) signal acquisition offers activity-dependent, nonuniform sampling, reducing bandwidth and quantization errors for biosignals. This novel approach enables efficient hardware for neural signal processing with significant compression ratios.

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    Area of Science:

    • Biomedical Engineering
    • Signal Processing
    • Hardware Implementation

    Background:

    • Conventional fixed-rate digitization of biosignals can be inefficient in terms of bandwidth and power consumption.
    • Activity-dependent and nonuniform sampling present an alternative to improve signal acquisition efficiency.

    Purpose of the Study:

    • To investigate continuous-time (CT) signal acquisition as an activity-dependent, nonuniform sampling method.
    • To demonstrate bandwidth savings and resource-efficient hardware implementation for biosignal acquisition.
    • To propose and validate a novel charge-based CT analog-to-digital converter (ADC) for neural signals.

    Main Methods:

    • Quantification of bandwidth saving using nonuniform quantization on electrocardiogram (ECG) and extracellular action potential signals.
    • Description of CT sampling properties, including bandwidth reduction, quantization error mitigation, and aliasing impact.
    • Design and implementation of a novel charge-based CT ADC in 0.35 μm CMOS technology.

    Main Results:

    • Achieved compression ratios of 5 for ECG and 26 for extracellular action potentials.
    • Demonstrated an 8-bit resolution, 4 kHz bandwidth, and low static power consumption (3.75 μW).
    • Silicon-verified measurements confirmed activity-dependent dynamic power dissipation (1.39 pJ/conversion).

    Conclusions:

    • CT signal acquisition is a viable, efficient alternative to conventional digitization for biosignals.
    • The proposed CT ADC offers a resource-efficient hardware solution for neural signal acquisition.
    • This technology enables significant bandwidth reduction and power savings, particularly for activity-dependent signals.