Discrete Cosine Transform for the Analysis of Essential Tremor

Jordi Solé-Casals1,2, Iker Anchustegui-Echearte1,3, Pere Marti-Puig1

  • 1Data and Signal Processing Research Group, University of Vic-Central University of Catalonia, Barcelona, Spain.

Frontiers in Physiology
|February 2, 2019
PubMed

Related Concept Videos

Discrete Fourier Transform01:15

Discrete Fourier Transform

The Discrete Fourier Transform (DFT) is a fundamental tool in signal processing, extending the discrete-time Fourier transform by evaluating discrete signals at uniformly spaced frequency intervals. This transformation converts a finite sequence of time-domain samples into frequency components, each representing complex sinusoids ordered by frequency. The DFT translates these sequences into the frequency domain, effectively indicating the magnitude and phase of each frequency component present...
897
Discrete-time Fourier transform01:26

Discrete-time Fourier transform

The Discrete-Time Fourier Transform (DTFT) is an essential mathematical tool for analyzing discrete-time signals, converting them from the time domain to the frequency domain. This transformation allows for examining the frequency components of discrete signals, providing insights into their spectral characteristics. In the DTFT, the continuous integral used in the continuous-time Fourier transform is replaced by a summation to accommodate the discrete nature of the signal.
One of the notable...
1.1K
The Law of Cosines01:15

The Law of Cosines

The Law of Cosines is a fundamental result in trigonometry that relates the lengths of the sides of a triangle to the cosine of one of its angles. It serves as a generalization of the Pythagorean Theorem, enabling calculations in non-right triangles where the simple relationships of right-angled geometry no longer apply. The formula is especially useful in scenarios where direct measurement of one side or angle is not feasible, such as in surveying, navigation, and engineering applications.For...
318
Integrals of Powers of Sine and Cosine01:29

Integrals of Powers of Sine and Cosine

Trigonometric integrals involve the integration of expressions containing powers of sine, cosine, and related functions. They are common in calculus problems and have applications in physics and engineering. The method for integrating expressions of the form sinm(x)cosn(x) depends on whether the exponents are odd or even.If the power of sine is odd, one sine factor is separated from the integrand, leaving an even power of sine. The remaining sine terms are rewritten in terms of cosine using the...
55
Direction Cosines of a Vector01:29

Direction Cosines of a Vector

Direction cosines, which help describe the orientation of a vector with respect to the coordinate axes, are an essential concept in the field of vector calculus. Consider vector A that is expressed in terms of the Cartesian vector form using i, j, and k unit vectors. The magnitude of vector A is defined as the square root of the sum of the squares of its components. The direction of this vector with respect to the x, y, and z axes is defined by the coordinate direction angles α, β, and γ,...
1.5K
Compounds Essential to Human Function01:25

Compounds Essential to Human Function

The human body is composed of cells that are fundamentally made up of several different molecules. These molecules are essential to carry out all physiological processes in the body and are broadly classified into organic and inorganic based on their chemical structures.
Inorganic Compounds Essential to Human Functioning
Inorganic compounds essential to human functioning include water, salts, acids, and bases. These compounds are inorganic, i.e., they do not have a carbon-hydrogen bond. Water...
10.1K