MATLAB: Is it possible to produce a plot in MATLAB with the axes scaled based upon the natural logarithm

axesaxisexponentiallogMATLABnaturalscalescaling

I know it is possible to scale axes based upon a base 10 log scale using the SEIMLOGX and SEMILOGY functions, but there does not seem to be any way to scale axes based upon a natural logarithm scale.

Best Answer

The ability to scale axes based upon a natural logarithm scale is not available in MATLAB.

To work around this issue, plot the natural logarithm of the data on a linearly-scaled figure.

For example, try the following commands:

x = linspace(0, 100);
y = exp(x + 1);
plot(x, log(y))

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MATLAB: Reference level P0 in psd() logarithm

Hi Bob, In PSD estimates, you can take this to be 1.

The use of the logarithm in PSD calculations is different than the use of the logarithm in measurements like sound pressure level where the reference level is critical.

The reason you typically take the log in PSD estimation is for variance stabilization. The variance in a PSD estimate like the periodogram is frequency-dependent. Taking the log() removes that frequency dependence and makes the PSD estimate much easier to interpret.

Have you looked at aryule() in the Signal Processing Toolbox?

Basically the Yule-Walker spectral estimators:

use aryule() to obtain the AR coefficients
return the error variance along with the AR coefficients from aryule
use freqz() to estimate the frequency response
use e*abs(h).^2 as the basis for PSD estimate where e is the prediction error from aryule() and h is the frequency response from freqz()
scale appropriately with the sampling frequency (if in Hz) or (2*pi) if in radians/sample.

MATLAB: What is the log scale base that is used by Matlab during plot

log10(x)

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MATLAB: Reference level P0 in psd() logarithm

MATLAB: What is the log scale base that is used by Matlab during plot

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