Equation as follows.

aSin(20degrees) + bSin(40degrees) + cSin(60degrees) = answer

If the anwser was given in decimal form, is it possible to derive what 'a', 'b', and 'c' are ?, since we already know what the phases are for each.

I recall something about frequency division multiplexing using fast fourier transforms or something like that. But can't quite wrap my head around it.

If there was one signal say 'aSin(20degrees)', then it's simply,

- multiplying the signal with a reference signal that's in phase with signal 'a' with unity amplitude, in this case Sin(20degrees).

- take the average of each resulting product

- double the average, and you have the answer to 'a'.

But what about if it's more then one signal ?

like the one mentioned above,

aSin(20degrees) + bSrin(40degrees) + .....etc

thanks in advance.

It looks like you're new here. If you want to get involved, click one of these buttons!

- 140.8K All Categories
- 103.6K Programming Languages
- 6.4K Assembler Developer
- 401 Assembly Code Share
- 239 Getting started in assembly
- 4.6K x86 Assembly
- 1.9K Basic
- 97 Qbasic
- 39.9K C and C++
- 5.6K Beginner C/C++
- 330 C/C++ on Linux/Unix
- 450 C/C++ Windows API
- 522 C++ Builder
- 253 C++ Game Development
- 3.3K C++ MFC
- 103 C++.NET
- 404 Visual C++
- 2.9K C#
- 7.9K Delphi and Kylix
- 334 Advanced Delphi
- 360 Delphi beginners
- 4 Haskell
- 9.7K Java
- 56 Enterprise JavaBeans
- 1.3K Java Beginners
- 304 Java Server Pages
- 4.1K Pascal
- 1.3K Perl
- 11 Perl 6
- 2K PHP
- 546 Python
- 37 Ruby
- 4.4K VB.NET
- 258 Advanced VB.Net
- 1.6K VBA
- 20.8K Visual Basic
- 767 Access databases and VB
- 831 Advance Visual Basic
- 1.2K Beginner VB
- 2.6K Game programming
- 315 Console programming
- 90 DirectX Game dev
- 1 Minecraft
- 112 Newbie Game Programmers
- 2 Oculus Rift
- 9K Applications
- 1.8K Computer Graphics
- 279 3D Graphics
- 129 DirectX
- 125 OpenGL
- 740 Computer Hardware
- 9 Cooling & Overclocking
- 3.4K Database & SQL
- 1.1K Access
- 91 ADO Programming
- 288 MySQL
- 358 Oracle
- 440 SQL-Server
- 535 Electronics development
- 1.6K Matlab
- 628 Sound & Music
- 25 DirectSound
- 257 XML Development
- 3.3K Classifieds
- 199 Co-operative Projects
- 198 For sale
- 190 FreeLance Software City
- 1.9K Jobs Available
- 603 Jobs Wanted
- 209 Wanted
- 2.9K Microsoft .NET
- 1.8K ASP.NET
- 1.1K .NET General
- 22 .NET WEB-Services
- 129 .NET WinForms
- 14 .NET XML
- 50 ADO.NET
- 142 C# & VB.NET School Support
- 3.4K Miscellaneous
- 4 Join the Team
- 354 Comments on this site
- 69 Computer Emulators
- 2.1K General programming
- 187 New programming languages
- 621 Off topic board
- 200 Mobile & Wireless
- 72 Android
- 126 Palm Pilot
- 338 Multimedia
- 154 Demo programming
- 184 MP3 programming
- 0 Bash scripts
- 27 Cloud Computing
- 1 Witsbits Go Cloud
- 53 FreeBSD
- 1.7K LINUX programming
- 1 Awk scripting
- 332 Linux Support
- 0 Sed scripting
- 370 MS-DOS
- 0 Shell scripting
- 321 Windows CE & Pocket PC
- 4.1K Windows programming
- 177 COM/DCOM
- 61 Networking And Security
- 17 Windows 2003 Server
- 6 Windows Vista
- 176 Windows XP
- 939 Software Development
- 416 Algorithms
- 68 Object Orientation
- 24 RUP & UML
- 91 Project Management
- 95 Quality & Testing
- 268 Security
- 63 Evil Scripting
- 81 Hacking
- 7.7K WEB-Development
- 1.8K Active Server Pages
- 61 AJAX
- 4 Bootstrap Themes
- 55 CGI Development
- 28 ColdFusion
- 224 Flash development
- 1.4K HTML & WEB-Design
- 1.4K Internet Development
- 131 Mobile Internet & Messaging
- 211 Wireless development
- 2.2K JavaScript
- 37 JQuery
- 304 WEB Servers
- 153 Apache
- 79 IIS
- 150 WEB-Services / SOAP

## Comments

: Does anybody know if this is possible.

:

: Equation as follows.

:

: aSin(20degrees) + bSin(40degrees) + cSin(60degrees) = answer

:

: If the anwser was given in decimal form, is it possible to derive what 'a', 'b', and 'c' are ?, since we already know what the phases are for each.

: I recall something about frequency division multiplexing using fast fourier transforms or something like that. But can't quite wrap my head around it.

: If there was one signal say 'aSin(20degrees)', then it's simply,

: - multiplying the signal with a reference signal that's in phase with signal 'a' with unity amplitude, in this case Sin(20degrees).

: - take the average of each resulting product

: - double the average, and you have the answer to 'a'.

:

: But what about if it's more then one signal ?

: like the one mentioned above,

: aSin(20degrees) + bSrin(40degrees) + .....etc

:

:

: thanks in advance.

:

From a maths point of view you could end up with more than one solution as even if a,b and c here are WHOLE numbers then it is like saying:->

(2*40) + (3*50) + (4*60)= 80+150+240=470

From the 470 here you could derive a few numbers like:->

4+6+460 and again with

400+50+20 etc

giving lots of results.

You could eliminate some results using

SIMULTANEOUS EQUATIONS methods maybe in a loop?

Like the following

1) a+b=12

2) a+b+c=12

3) a+b+c+d=12

4) a+b+c+d+e=12

Find one term by adding up the rest and solving via addition+subtraction.

I.E.

In 1) above If a=5 then b=12-5=7

In 2) above add the b+c to get a) if you know the answer.

In 3) above add the b,c&d to get a) if you know the answer

In 4) add b,c,d,e to get a) if you know the answer.

If you can create a simultaneous pair of equations from your results then you can produce what a,b,c etc are?

E.G. To take your problem:-

aSin(20degrees) + bSin(40degrees) + cSin(60degrees) = answer

If a=2 b=3 c=4 then answer=6.076504731

If a became 3 the 2nd and 3rd term would total a higher value

But if the answer remains the same then b or/and c are reduced.

Like saying:->

1) 2a+3b+4c=d

2) 3a+b+c=d

Muliply 1) through by -1 giving:-> -2a+ -3b+ -4c = -d

-2a+ -3b+ -4c = -d

+3a+ b +c = d

Adding gives:->

a -2b - 3c = 0 so a=2b+3c

You could use the simultaneous equtions idea maybe to get the other results or graphing analysis to see where straight line equations intersect?

Like

2a+3b=12 where a=3,b=2 or a=2,b=8/3 Plot a againt b

3x+2y=12 Plot x againt y

Where ever the lines cross solves a simultaneous equation.

If this works for straight lines it would work for SIN or COS wave diagrams I guess. Would help you to eliminate some of the values maybe?

Just an idea though if it is of any use?

You would need a clever routine to deal with an ever increasing number of terms or "waveforms" though.

Plus simple or complex wavforms when overlapped cross at multiple points so there is more than one solution to your problem I guess.

Hope this helps. :-)

1337 d00d