Related Experiment Video
Updated: Feb 12, 2026
06:14
In Vivo Protocol of Controlled Subconcussive Head Impacts for the Validation of Field Study Data
Published on: April 18, 2019
6.9K
Immittance Data Validation by Kramers-Kronig Relations - Derivation and Implications.
1European Commission Directorate-General Joint Research Centre Westerduinweg 31755 LE Petten The Netherlands.
Chemelectrochem
|March 27, 2018
Summary
This study derives Kramers-Kronig relations for immittances, enabling tests for linearity, stability, and causality in systems. Novel anti-Kramers-Kronig relations help distinguish linear, time-invariant systems from others.
Area of Science:
- Electrical Engineering
- Physics
- Materials Science
Background:
- Kramers-Kronig relations are fundamental in physics and engineering for analyzing systems.
- Traditional derivations often rely on specific assumptions about system behavior.
Purpose of the Study:
- To derive Kramers-Kronig (KK) relations for immittances using mathematical constructs in the complex frequency domain.
- To introduce novel anti-KK relations for system classification.
- To provide integral transform relations for estimating immittances at extreme frequencies.
Main Methods:
- Utilizing the two-sided Laplace transform (LT) and reducing it to the Fourier domain.
- Applying principles of causality, linearity, and stability.
- Deriving new mathematical relations for immittance analysis.
Main Results:
- Development of explicit and implicit Kramers-Kronig relations for immittances.
- Introduction of anti-KK relations to differentiate linear time-invariant (LTI) systems from non-linear, unstable, or acausal systems.
- Formulation of integral transform relations for estimating immittances at zero and infinite frequencies.
Conclusions:
- The derived KK and anti-KK relations serve as powerful tools to test the transformability and LTI principles of measured and model data in immittance spectroscopy (IS).
- These relations are crucial for data normalization and comparison, with broad applicability to complex-valued quantities across various scientific fields.
More Related Videos
Related Concept Videos
01:15Data Validation
2.2K
Method validation is a crucial process in analytical chemistry designed to confirm that a given method consistently produces reliable and high-quality results. This process is essential when a method is applied to different sample matrices or when procedural modifications are made, ensuring that the results meet acceptable standards across various applications.
Key parameters for method validation include:
Key parameters for method validation include:
2.2K
01:03Data Validation
6.9K
Data validation is an essential part of a comprehensive assessment. Validation is confirming or verifying and opening the door to gathering more assessment data as it clarifies vague or unclear data. The process of checking and verifying the collected information is called data validation. The primary purpose of data validation is to ensure data is as free from error, bias, and misinterpretation as possible.
Nursing assessment guides are generally based on holistic models rather than medical...
Nursing assessment guides are generally based on holistic models rather than medical...
6.9K
01:13Relative Reactivity of Carboxylic Acid Derivatives
3.8K
Carboxylic acid derivatives such as acid halides, anhydrides, esters, and amides undergo nucleophilic acyl substitution reactions with varying degrees of reactivity.
A key factor in assessing the reactivity of the acid derivatives is the basicity of the substituent or the leaving group. The lower the basicity of the leaving group, the higher the reactivity of the derivative. The basicity of the leaving group follows this order:
Halide ions < Acyloxy ions < Alkoxy ions < Amine ions
A key factor in assessing the reactivity of the acid derivatives is the basicity of the substituent or the leaving group. The lower the basicity of the leaving group, the higher the reactivity of the derivative. The basicity of the leaving group follows this order:
Halide ions < Acyloxy ions < Alkoxy ions < Amine ions
3.8K
01:29Reliability and Validity
14.1K
Reliability and validity are two important considerations that must be made with any type of data collection. Reliability refers to the ability to consistently produce a given result. In the context of psychological research, this would mean that any instruments or tools used to collect data do so in consistent, reproducible ways.
14.1K
01:12Relative Risk
2.2K
Relative risk (RR) is a statistical measure commonly used in epidemiology to compare the likelihood of a particular event occurring between two groups. This metric is important for evaluating the relationship between exposure to a specific risk factor and the probability of a particular outcome. It plays a crucial role in medical research, public health studies, and risk assessment. Relative risk quantifies how much more (or less) likely an event is to occur in an exposed group compared to an...
2.2K
01:10Relative Velocity in One Dimension
11.0K
The understanding of the concept of reference frames is essential to discuss relative motion in one or more dimensions. When we say that an object has a certain velocity, we must state the velocity with respect to a given reference frame. In most examples, this reference frame has been Earth. For instance, if a statement reads that a person is sitting in a train moving at 10 m/s east, then it implies that the person on the train is moving relative to the surface of Earth at this velocity,...
11.0K