Doubt on phase stationary method

In summary, the conversation is about whether the phase stationary method can be applied to complex functions and if it is still called the same thing. The person asking the question wants to make sure they can use this method for complex functions and if there is any difference with the steepest descent method. They also mention needing a reference to prove they are the same thing. The other person suggests checking a post by @blue_leaf77 on a forum for more information.
  • #1
Asteroid
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0
Can the phase stationary method be applied to complex functions? And if it does, is it still called phase stationary method? I ask this because there are several methods for asymptotic analysis and I need to be sure if I can use this method for complex function. Is there any difference with the steepest descent method? Thanks.
 
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  • #2
yes, the steepest descent method is essentially the stationary method in the complex case ...
 
  • #3
Another question, is there a reference on this to prove there are the same thing? Because I use this in my thesis and I need to be sure
 
  • #4
No wait, sorry I intended was analogue not the same thing, in fact I think the steepest descent is more general ...
 

Related to Doubt on phase stationary method

1. What is the phase stationary method?

The phase stationary method is a mathematical technique used to analyze stationary time series data. It involves decomposing the data into different frequency components and analyzing the phase relationships between them.

2. How does the phase stationary method differ from other time series analysis methods?

The phase stationary method differs from other time series analysis methods in that it focuses on the phase relationships between different frequency components rather than just the amplitude or magnitude of each component. This can provide a more comprehensive understanding of the data.

3. What kind of data is suitable for analysis using the phase stationary method?

The phase stationary method is best suited for analyzing stationary time series data, meaning that the statistical properties of the data do not change over time. It is commonly used in fields such as signal processing, engineering, and economics.

4. What are the advantages of using the phase stationary method?

One of the main advantages of the phase stationary method is that it can provide a more detailed analysis of time series data compared to other methods. It also allows for the identification of complex relationships between different frequency components, which can be useful in various fields of research.

5. Are there any limitations to the phase stationary method?

Like any analytical method, the phase stationary method has its limitations. It may not be suitable for analyzing non-stationary data or data with missing values. Additionally, it requires a solid understanding of mathematics and signal processing techniques to accurately interpret the results.

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