Wavelet transform is a mathematical technique used for analyzing and representing data in different frequency components while maintaining time localization. Unlike traditional Fourier transform, which provides frequency information but loses time information, wavelet transform allows for both frequency and time analysis. This makes it particularly useful for analyzing non-stationary signals where the frequency content changes over time. ### Key Features of Wavelet Transform: 1. **Multi-Resolution Analysis**: Wavelet transform decomposes a signal into different frequency components at various resolutions.
Wideband audio refers to audio that has a wider frequency range than standard narrowband audio, providing improved clarity and quality for voice communications. In telecommunications, wideband audio typically covers a frequency range from about 50 Hz to 7,000 Hz, compared to narrowband audio, which typically ranges from 300 Hz to 3,400 Hz.
The Wiener-Khinchin theorem, also known as the Wiener-Khinchin theorem for the autocorrelation function, is a fundamental result in the field of signal processing and stochastic processes. It establishes a relationship between the autocorrelation function of a stationary random process and its power spectral density.
The Wigner distribution function (WDF) is a mathematical construct used in quantum mechanics to represent the quantum state of a system in a phase space formulation. It provides a way to visualize and analyze quantum states using concepts from classical mechanics, allowing for a more intuitive understanding of quantum phenomena. ### Key Features of the Wigner Distribution Function: 1. **Phase Space Representation**: The Wigner function is defined in a phase space of position (x) and momentum (p).
Zero-crossing rate (ZCR) is a measure used in signal processing, particularly in the analysis of audio signals. It refers to the rate at which a signal crosses the zero amplitude level, indicating changes in the signal's polarity (from positive to negative and vice versa). In simpler terms, it quantifies how often the waveform of a signal goes from being positive to negative or vice versa within a certain period.
Zero-forcing (ZF) precoding is a signal processing technique used in multiple-input multiple-output (MIMO) wireless communication systems to mitigate inter-users interference. In MIMO systems, multiple antennas are employed at both the transmitter and receiver to improve communication performance, including capacity and reliability.
Zero crossing refers to the point in a waveform where the signal changes sign, crossing the horizontal axis (zero line). In other words, it is the moment when the value of the signal transitions from positive to negative or vice versa. This concept is often used in various fields, including signal processing, audio engineering, and electronics.