In statistics, the mean squared error (MSE) or mean squared deviation (MSD) of an estimator (of a procedure for estimating an unobserved quantity) measures...

Mean square quantization error (MSQE) is a figure of merit for the process of analog to digital conversion. In this conversion process, analog signals...

{\displaystyle \Delta ^{2}/12} . Mean squared error is also called the quantization noise power. Adding one bit to the quantizer halves the value of Δ, which...

deformation like coordinate-wise power before projection, reducing mean-squared quantization error by ~10%. PVQ is used in the CELT audio codec (inherited into...

minimum possible noise level is the error caused by the quantization of the signal, sometimes called quantization noise. This noise level is non-linear...

difference Mean square quantization error Mean square weighted deviation Mean squared error Mean squared prediction error Mean time between failures Mean-reverting...

actual received symbols and ideal symbols. The root mean square (RMS) average amplitude of the error vector, normalized to ideal signal amplitude reference...

(squared Euclidean distances), but not regular Euclidean distances, which would be the more difficult Weber problem: the mean optimizes squared errors...

acceleration of the observer. Time quantization refers to the theory that time has a smallest possible unit. Time quantization is a hypothetical concept. In...

arithmetic mean of the result, the mean value would be very close to the true value of the measured quantity. William Woolsey Johnson The Theory of Errors and...

defined as the expected value of the square of the difference between input and output signal (i.e., the mean squared error). However, since we know that most...

alternatively the mean squared) INL. While the INL can be measured for every possible input/output code, often only the maximal error is provided when...

modulation error ratio is equal to the ratio of the root mean square (RMS) power (in Watts) of the reference vector to the power (in Watts) of the error. It...

{\displaystyle \hbar } is reduced Planck constant: A common way to derive the quantization rules above is the method of ladder operators. The ladder operators for...

between these two levels; instantaneous CSI with some estimation/quantization error is combined with statistical information. In a narrowband flat-fading...

least squares, in which the sum of the absolute value of the observed errors is used in place of the squared error. The connection is that the mean is the...

distributed random variables. In analog-to-digital conversion, a quantization error occurs. This error is either due to rounding or truncation. When the original...

regularization Matthews correlation coefficient Mean shift Mean squared error Mean squared prediction error Measurement invariance Medoid MeeMix Melomics...

the signal before sampling. This removes the effects of non-uniform quantization error, but increases the minimum noise floor. The phrase "dB below full...

subject to lossy compression. PSNR is most easily defined via the mean squared error (MSE). Given a noise-free m×n monochrome image I and its noisy approximation...

coefficients, so the output does not require rounding (quantization) and so it does not introduce any quantization noise. It is used in lossless coding. The wavelet...

{E}}_{i}^{3}{\tilde {E}}^{3i}}}.} According to the rules of canonical quantization the triads E ~ i 3 {\displaystyle {\tilde {E}}_{i}^{3}} should be promoted...

added to the original signal before quantization. Optimal use of dither has the effect of making quantization error independent of the signal, and allows...

Prentice-Hall, Inc., 1994. 2008 B. Widrow and I. Kollar. Quantization Noise: Roundoff Error in Digital Computation, Signal Processing, Control, and Communications...

a root mean square (RMS) voltage (identical to the noise standard deviation) in volts, dBμV or a mean squared error (MSE) in volts squared. Examples...

with Frost and Thompson (2000). Errors-in-variables models Quantization (signal processing) – a common source of error in the explanatory or independent...

experiment: quantization should not have been observable. At least five years would elapse before this mystery was resolved: quantization was observed...

summarized many other experimental findings. The quantization of the photoelectric effect and now the quantization of the electron orbits set the stage for the...

preserved along with the mean. AMBTC is computationally simpler than BTC and also typically results in a lower Mean Squared Error (MSE). AMBTC was proposed...

quality level. The deviation from the source is usually measured as the mean squared error, in order to maximize the PSNR video quality metric. Calculating the...