필터 지우기
필터 지우기

what the difference between the phase of f(z) and |f(z)|

조회 수: 3 (최근 30일)
Aisha Mohamed
Aisha Mohamed 2022년 4월 26일
댓글: Walter Roberson 2022년 5월 10일
I want to plot the complex function f(z) and I am tring to plot |f(z)| as well , but I can not understand what the difference between them?
I mean what does f(z) represent and what does |f(z)| represent and which of them represent exactly the complex function.
I appreciate any help
  댓글 수: 1
Mathieu NOE
Mathieu NOE 2022년 4월 26일
hello
|f(z)| is the modulus of the complex function f(z) so it will represent only the amplitude (or modulus) of a complex valued function. the phase information is lost

댓글을 달려면 로그인하십시오.

답변 (1개)

Anagha Mittal
Anagha Mittal 2022년 5월 10일
Hi!
The difference between f(z) and |f(z)| is that the former has all the actual values of the complex function while the latter only has the positive values (i.e. the positives remain the same and the sign is reversed for negative values).
|f(z)| is the modulus of f(z) which returns only positive values.
For the exact representation, you may plot f(z).
  댓글 수: 1
Walter Roberson
Walter Roberson 2022년 5월 10일
However for complex functions, the magnitude is sqrt(real^2 + imag^2). For locations where the samples are real, then this corresponds to x if x>=0 and -x for x<0. But when there is an imaginary part, it is not meaningful to talk about comparing all the value to 0
The magnitude of f(x) corresponds to rotating each point in the complex plane over to the positive x axes, preserving vector magnitude. The result has no remaining phase.

댓글을 달려면 로그인하십시오.

카테고리

Help CenterFile Exchange에서 Annotations에 대해 자세히 알아보기

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by