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  2. Periodic function - Wikipedia

    en.wikipedia.org/wiki/Periodic_function

    Periodic motion is motion in which the position(s) of the system are expressible as periodic functions, all with the same period. For a function on the real numbers or on the integers , that means that the entire graph can be formed from copies of one particular portion, repeated at regular intervals.

  3. Waveform - Wikipedia

    en.wikipedia.org/wiki/Waveform

    In electronics, acoustics, and related fields, the waveform of a signal is the shape of its graph as a function of time, independent of its time and magnitude scales and of any displacement in time. [1] [2] Periodic waveforms repeat regularly at a constant period. The term can also be used for non-periodic or aperiodic signals, like chirps and ...

  4. Quasiperiodic function - Wikipedia

    en.wikipedia.org/wiki/Quasiperiodic_function

    Bloch's theorem says that the eigenfunctions of a periodic Schrödinger equation (or other periodic linear equations) can be found in quasiperiodic form, and a related form of quasi-periodic solution for periodic linear differential equations is expressed by Floquet theory. Functions with an additive functional equation

  5. Discrete Fourier transform - Wikipedia

    en.wikipedia.org/wiki/Discrete_Fourier_transform

    While the ordinary DFT corresponds to a periodic signal in both time and frequency domains, = / produces a signal that is anti-periodic in frequency domain (+ =) and vice versa for = /. Thus, the specific case of a = b = 1 / 2 {\displaystyle a=b=1/2} is known as an odd-time odd-frequency discrete Fourier transform (or O 2 DFT).

  6. Quasiperiodicity - Wikipedia

    en.wikipedia.org/wiki/Quasiperiodicity

    Climate oscillations that appear to follow a regular pattern but which do not have a fixed period are called quasiperiodic. [3] [4]Within a dynamical system such as the ocean-atmosphere system, oscillations may occur regularly when they are forced by a regular external forcing: for example, the familiar winter-summer cycle is forced by variations in sunlight from the (very close to perfectly ...

  7. Modulation - Wikipedia

    en.wikipedia.org/wiki/Modulation

    Categorization for signal modulation based on data and carrier types. In electronics and telecommunications, modulation is the process of varying one or more properties of a periodic waveform, called the carrier signal, with a separate signal called the modulation signal that typically contains information to be transmitted. [1]

  8. Harmonic - Wikipedia

    en.wikipedia.org/wiki/Harmonic

    In physics, acoustics, and telecommunications, a harmonic is a sinusoidal wave with a frequency that is a positive integer multiple of the fundamental frequency of a periodic signal. The fundamental frequency is also called the 1st harmonic ; the other harmonics are known as higher harmonics .

  9. Fourier analysis - Wikipedia

    en.wikipedia.org/wiki/Fourier_analysis

    A Fourier transform and 3 variations caused by periodic sampling (at interval ) and/or periodic summation (at interval ) of the underlying time-domain function. The relative computational ease of the DFT sequence and the insight it gives into S ( f ) {\displaystyle S(f)} make it a popular analysis tool.