I never said that Fourier method was wrong..
You put this in my mouth...
These methods are the basis of design in Audio... 😊
I INSISTED on the point that Fourier linear methods are not able to explain hearings power , and they are not enough to create musical design ... The designer must quit his tools and listen TOO... Thats the point...
Bashing Fourier method will be stupid , i NEVER did that, criticizing the context of their application and interpretation in human hearings is the point...
The ears works non linearly in his own time direction, that is the point which make it powerful for extracting information... We must use this fact in the creation of the design and not use our own linear and time symmetrical measure to determine the design as "perfect" because no distortion and low noise ...It is not enough...Musicality exist ... For you it may be a myth... For some designer it is not...
Nonsense. I read Maanen paper and comment about it when you first post it. I explained to you that he made up an electronic circuit that has hysteresis and then showed a couple of rudimentary simulation that says there is a memory effect.
And now you distort what Van Maanen said :
Any electronic circuit changes in amplitude and phase of distortion components caused by modulation frequency. Van Maanen use that fact to show the limit of Fourier method for predicting his behavior...Your three lines attributing to him the idea to made up a circuit with hysteresis HAD NOTHING TO DO WITH HIS POINT ...
Here it is in his own word...:
«When we look at electronics with active components, such systems are non-linear as has been described in a separate paper (Feedback Flaws). Which is why we have to deal with distortion.
So, the first condition is, in general, not fulfilled. Memory effects also often occur in electronics, which can even be enhanced by non-linear effects.
The determination of the frequency response of such a circuit is next to impossible (note that nthe dynamic impedance of the diodes depends on the current, flowing through them and is therefore also dependent on the amplitude of the input signal) and it is obvious that the system is highly non-linear. The charge on the capacitor will be a clear function of the history of then input signal, so the system is also not time-invariant. In other words, the application of Fourier theory to electronics is error-prone and there is a severe risk that the properties for continuous
sine waves cannot (and will not) predict the response in time domain correctly.
Figure 1: Example of a circuit where the Fourier theory is
not capable to predict the response, even if the continuous
sine wave response would be known by measurement. The
reasons are the non-linear behaviour (due to the diodes in
the circuit) and the memory, created by the capacitor as its
charge will depend on the input signal in the past.
i cannot put the figure but anybody vcan go there :
https://www.temporalcoherence.nl/cms/images/docs/FourierConditions.pdf