Wavelet: meaning, definitions and examples

Used primarily in the field of signal processing, mathematics, and data analysis to denote a small wave or a waveform of limited duration that has an average value of zero.

• Wavelet transforms are powerful tools in signal compression.
• Researchers used wavelets to analyze patterns in the data.

A broad description typically used in mathematics and physics to describe any function or waveform that resembles periodic oscillations or vibrations.

• The scientist modeled the data using a wave-like function to simulate the phenomenon.
• Wave-like functions are common in the study of harmonic motion.

A more general term dealing with functions used in the processing of signals, encompassing a wide range of mathematical operations and transformations.

• The Fourier transform is a fundamental signal processing function.
• Engineers applied various signal processing functions to clean up the audio recording.

This term is often used in mathematics and signal processing to describe a small wave, usually part of a larger set of waves, that can be used in various analyses like wavelet transforms.

• Wavelet transforms are powerful tools in image compression.
• The wavelet function helps in detecting edges in an image.

This term is useful when discussing mathematical functions that show repetitive variation around a central value, often used in physics and engineering.

• The oscillation function can predict the behavior of electrical circuits.
• Studying oscillation functions helps in understanding periodic motions in mechanical systems.

This term can be applied in a broader context to describe functions that resemble waves, generally used in physics, engineering, or general mathematics without the specific mathematical connotations of 'wavelet.'

• A wave-like function describes the behavior of particles in a quantum field.
• The sea-level can be modeled using a wave-like function.