Signal processing

Log-spectral distance

The log-spectral distance (LSD), also referred to as log-spectral distortion or root mean square log-spectral distance, is a distance measure(expressed in dB) between two spectra. The log-spectral distance between spectra and is defined as: where and are power spectra.Unlike the Itakura–Saito distance, the log-spectral distance is symmetric. In speech coding, log spectral distortion for a given frame is defined as the root mean square difference between the original LPC log power spectrum and the quantized or interpolated LPC log power spectrum. Usually the average of spectral distortion over a large number of frames is calculated and that is used as the measure of performance of quantization or interpolation. (Wikipedia).

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The Logarithm -- limit definition #shorts

Here's a quick derivation of the limit definition for the logarithm. A previous video, https://youtu.be/bPmooEEXU_8 , relied on this definition. You can read about this derivation here: https://medium.com/mathadam/fall-in-love-with-e-all-over-again-2ddc5d03d4cc?sk=8f7111156005f8db169a628a9

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👉 Learn how to graph logarithmic functions. The logarithmic function is the inverse of the exponential function. To graph a logarithmic function, it is usually very useful to make the table of values of the function. This is done by choosing a range of values of x and then plug the x-value

From playlist How to Graph Logarithmic Functions in Different Bases

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Determine the Domain, Range, and Asymptote of a Log Function y=-log_3(x)+4

This video explains how to determine the domain, range, and vertical asymptotes of a logarithmic function. The results are verified graphically. http://mathispower4u.com

From playlist Graphing Logarithmic Functions

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From playlist How to Graph Logarithmic Functions in Different Bases

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👉 Learn how to graph logarithmic functions. The logarithmic function is the inverse of the exponential function. To graph a logarithmic function, it is usually very useful to make the table of values of the function. This is done by choosing a range of values of x and then plug the x-value

From playlist How to Graph Logarithmic Functions in Different Bases

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This video explains how to determine the value of several numbers on a logarithmic scale scaled in logarithmic form. http://mathispower4u.com

From playlist Using the Definition of a Logarithm

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Ex: Determine the Value of a Number on a Logarithmic Scale (Exponential Form)

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From playlist Using the Definition of a Logarithm

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From playlist MIT 6.451 Principles of Digital Communication II

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Learn how to graph a logarithm with reflections over x and y axis

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From playlist How to Graph Logarithmic Functions in Different Bases

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Determine the Domain, Range, and Asymptote of a Log Function y=-ln(x-6)

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From playlist Graphing Logarithmic Functions

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From playlist Mathematics

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From playlist Mathematics

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From playlist A Level Physics Revision

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From playlist HIM Lectures: Follow-up Workshop to JTP "Optimal Transportation"

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Jeff Calder: "Discrete regularity for graph Laplacians"

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From playlist High Dimensional Hamilton-Jacobi PDEs 2020

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From playlist Advances in Applied Probability 2019

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Solving the Logarithmic Equation log(A) = log(B) - C*log(x) for A

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From playlist Logarithmic Equations

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Interpolation | Itakura–Saito distance