bugGNU Scientific Library - Bugs: bug #41759, DHT manual

 
 

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bug #41759: DHT manual

Submitted by:  Patrick Alken <psa>
Submitted on:  Mon 03 Mar 2014 01:08:19 AM UTC  
 
Category: DocumentationSeverity: 3 - Normal
Operating System: Status: Fixed
Assigned to: NoneOpen/Closed: Closed
Release: 

Thu 06 Mar 2014 05:30:45 PM UTC, comment #1:

documentation fixed in commit 6e441456a44ce90368eca81ec4a53258dd88b2e9

(thanks to Andreas)

Patrick Alken <psa>
Project Administrator
Mon 03 Mar 2014 01:08:19 AM UTC, original submission:

Dear GSL-manual team,

the manual for the DHT should be updated:

when the scaling factor X is used,
the factor X^2 enters the calculation.
Then, DHT[f](k) calculates
1/(2Pi) int f(x) e^(-i x k) d^2x
for a two dimensional x.
This is not clear mentioned in the documentation.

Moreover, when using the factor X, after a forward and backward
transformation there enters the factor j_{nu,i}^2 / X^4, NOT only
j_{nu,i}^2.

This can easily be seen from the article of H.F. Johnson (mentioned in
the documentation), eq. (13), where DHT calculates always a term as
given by eq. (12), for forward and backward transform, respectively.

It took me some time to find this out, so it would be nice to update the
documentation with respect to future readership.
I am willing to help you, if it is not delayed by monthes.

A.Hartel =at= uu.nl

Patrick Alken <psa>
Project Administrator

 

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    Date Changed By Updated Field Previous Value => Replaced By
    Thu 06 Mar 2014 05:30:45 PM UTCpsaStatusNone=>Fixed
      Open/ClosedOpen=>Closed

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