ACCEPTED SOLUTION
Accepted Solutions
@ppal wrote:
Use "Choose File" button to load a file or use photo to load pictures.
By me it does not work!
@ssato wrote:
I have question again.
If possible, please advise me.
Phase (argument) is calculated by not vector.
Is this specification of MATHCAD ?
The "feature" you experience here is called implicit or automatic vectorization.
Whenever an operation is a applied to vectors which is not defined or does not make sense vor vectors, Mathcad automatically uses vectorization - that means it applies the calculation singly to every element of the vectors (they must have same dimensions for this to work) and collect the result in a vector.
The calculation of the phase uses functions which are not defined for vectors and so Mathcad automatocally vectorizes. The calculation of the gain GPA(f) uses at first the absolute value of s(f). f is vector, s(f) uses no vector operation so its a vector, too, due to automatic vectorization, but the absolute value |s(f)| is defined for vectors, too, giving you the vector length. This consatnt value is now used for the further calcuation and this is the reason why without vectorization the result of GPA(f) ist constant 38.072.
With explicit vectorization |s(f)| means to apply the absolute value to every single element of s(f) and do the calculations with those values one after the other.
As a cocnlucsion: If you want vectorization done you are on the safe side if you apply it manually, even then if it would not be necessary as is the case in the phase calculation.
Here some examples:
Examples:
Two additional remarks:
1) You don't have to define j. Its built-in and you can use either i or j. Using Menu "Format" - "Result" - "Display Options" you can chose what you want to see in an evaluation, i or j.
To use i or j you must type 1i or 1j without a space or multiplication dot between. If your expression uses something like 2.54j this works as well, as long as you type j immediately after the last digit. The 1 is not shown when you click outside of your expression, so all looks as it should be.
2) Instead of converting from radians to degree manually you should let Mathcad do the job. Simply divide by degree in the plot (see picture). Instead of the degree sign (which is easily available on my German Keyboard) you may also type "deg" (without the quotes). Writing f/Hz at the abscissa is not really necessary as 1/s is the default unit anyway, but I thought it looks better that way 😉
