What Is Azimuth Fourier Transform in Signal Processing?

[chingkui]

I am reading something about Electromagnetic wave and Antenna, and come across some equations that the author says are "Azimuth Fourier Transform" and "Inverse Azimuth Fourier Transform". While I am somewhat familiar with Fourier Transform in the time/frequency domains, "Azimuth Fourier Transform" really is something I see the first time and I am not sure from the geometry why they are defined that way. Have anyone seen anything like this and can point me to some more detail information? Is it just a special case of Fourier Transform in the spatial domain rather in time domain?

 

[Karlisbad]

Perhaps the article you read is referring to calculating the Fourier transform in Polar coordinates.. instead of cartesian ones.

 

[tacman]

The Azimuth Fourier Transform is a mathematical operation used in the field of signal processing to analyze and manipulate signals in the spatial domain. It is often used in radar and antenna systems to analyze signals in terms of their angular direction or azimuth.

In simple terms, the Azimuth Fourier Transform is similar to the traditional Fourier Transform, but instead of transforming a signal from the time or frequency domain to the spatial domain, it transforms the signal from the spatial domain to the angular domain. This allows for a better understanding and analysis of signals in terms of their directional properties.

The Inverse Azimuth Fourier Transform is the reverse operation, transforming a signal from the angular domain back to the spatial domain. Together, these transforms allow for a comprehensive analysis of signals in both the spatial and angular domains.

The use of the term "azimuth" comes from the fact that this transform is particularly useful in analyzing signals in terms of their azimuth angle, which is the angle between a reference direction and the direction of a signal source.

I suggest further research and reading on the topic to gain a better understanding of the Azimuth Fourier Transform and its applications in the field of electromagnetic waves and antennas.