MATLAB: Converting magnitude (dB) and phase (deg) to complex value

complexmagniture

Let's assume I have magnitude value in dB and phase in degrees. How to change those to a complex number in Matlab?

Best Answer

Try this:

complexVector = [10.^(mag_dB/20) .* exp(1j*deg2rad(phase_degrees))]

or as an anonymous function:

complexVector = @(mag_dB,phase_degrees) [10.^(mag_dB/20) .* exp(1j*deg2rad(phase_degrees))]
Out = complexVector(mag_dB,phase_degrees)

also demonstrating how to call it.

EDIT — (19 Feb 2021 at 23:06)

Corrected typographical error.

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MATLAB: How to calculate magnitude and phase angle of a complex number

z = -7+13i
M = abs(z)    %magnitude
Ph = angle(z) %phase angle

Ph2 = atan2(imag(z),real(z)) %phase angle

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First, I would convert the decibel SPL values in decibels to the original amplitude values:

amplitude = 10.^(SPL/20);

Then use the fft (link) function. Specifically note the code between the first (top) two plot images.

I am not certain if the frequency content changes significantly during your recording, and if that is what you are interested in. If it is, consider using the spectrogram (link) function if it would be more appropriate to what you want from your data.

Best Answer

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