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Trying To Add Sine Waves

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  • OriginalGriffO OriginalGriff

    Radians, not degrees, I think: try 3.1415

    Bad command or file name. Bad, bad command! Sit! Stay! Staaaay...

    C Offline
    C Offline
    C P User 3
    wrote on last edited by
    #13

    Bingo When I become the King of England, I will make you a knight.

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    • OriginalGriffO OriginalGriff

      Works for me: Dropbox - waveAt0.png[^] Dropbox - waveAt0Added.png[^] Dropbox - waveAtPi.png[^] Dropbox - waveAtPiAdded.png[^]

      Bad command or file name. Bad, bad command! Sit! Stay! Staaaay...

      S Offline
      S Offline
      Sascha Lefevre
      wrote on last edited by
      #14

      Looks like there's something weird going on with frequency and phase shift: Take 3.1415 as phase shift and then look at the graphs for the frequencies 1 and 2.. That 2.06 value I got with a frequency of 3: Look at phase shifts 0, 0.5, 1, 1.5, 2.06 ..

      If the brain were so simple we could understand it, we would be so simple we couldn't. — Lyall Watson

      OriginalGriffO 1 Reply Last reply
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      • C C P User 3

        I am looking for a website which will allow me to add sine waves. Can someone tell me what question to ask Google ? I know several questions that ***don't*** work. I want to... - Input the frequency - Input the phase angle - Input the amplitude (nice to have, not required) - Click on a button - See the resulting wave form (save as PNG or whatever would be nice) These phrases and questions don't work... - *free online graphing tool to add two sine waves together - online graph, adding two sine waves together - add two sine waves together - add two sound waves together - Add two frequencies - Online Tone generator* Certainly I'm not the only guy on the internet who has ever wanted this. What question do I ask ? How do I phrase it ?

        A Offline
        A Offline
        Amarnath S
        wrote on last edited by
        #15

        IMHO, having the words - 'superpose', 'superposition' - may yield better results.

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        • S Sascha Lefevre

          Looks like there's something weird going on with frequency and phase shift: Take 3.1415 as phase shift and then look at the graphs for the frequencies 1 and 2.. That 2.06 value I got with a frequency of 3: Look at phase shifts 0, 0.5, 1, 1.5, 2.06 ..

          If the brain were so simple we could understand it, we would be so simple we couldn't. — Lyall Watson

          OriginalGriffO Offline
          OriginalGriffO Offline
          OriginalGriff
          wrote on last edited by
          #16

          It looks fine for me: 2.06 radians as a phase shift with a frequency of 3 looks about right given that

          3 * (2.06 / 2) = 3.09 ~= π

          Bad command or file name. Bad, bad command! Sit! Stay! Staaaay...

          "I have no idea what I did, but I'm taking full credit for it." - ThisOldTony
          "Common sense is so rare these days, it should be classified as a super power" - Random T-shirt

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          • Kornfeld Eliyahu PeterK Kornfeld Eliyahu Peter

            Wikipedia:

            In general, mathematically important relationships between the sine and cosine functions and the exponential function (see, for example, Euler's formula) are substantially simplified when angles are expressed in radians, rather than in degrees, grads or other units. Therefore, in most branches of mathematics beyond practical geometry, angles are generally assumed to be expressed in radians.

            And that's the case in .NET or JavaScript and Java and PHP too...All except radians and not degrees...

            Skipper: We'll fix it. Alex: Fix it? How you gonna fix this? Skipper: Grit, spit and a whole lotta duct tape.

            K Offline
            K Offline
            Kenneth Haugland
            wrote on last edited by
            #17

            360 degrees is just for the stupid humans since we like whole numbers. Non-rational numbers aren't so nice for us. Pi is a number to describe the relations in a circle, and it is basically how Sinus and Cosinus are defined.

            9 Kornfeld Eliyahu PeterK L 3 Replies Last reply
            0
            • C C P User 3

              I am looking for a website which will allow me to add sine waves. Can someone tell me what question to ask Google ? I know several questions that ***don't*** work. I want to... - Input the frequency - Input the phase angle - Input the amplitude (nice to have, not required) - Click on a button - See the resulting wave form (save as PNG or whatever would be nice) These phrases and questions don't work... - *free online graphing tool to add two sine waves together - online graph, adding two sine waves together - add two sine waves together - add two sound waves together - Add two frequencies - Online Tone generator* Certainly I'm not the only guy on the internet who has ever wanted this. What question do I ask ? How do I phrase it ?

              K Offline
              K Offline
              Kenneth Haugland
              wrote on last edited by
              #18

              If you have problems finding this on google, you might just as well create a program that does it :D

              C 1 Reply Last reply
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              • C C P User 3

                Nice catch. Thank you and you are voted up My physics is messed up. If I add two sine waves, same amplitude, same frequency, but off by 180 degrees, I'm supposed to get zero. Wave Adder gives me a much lower amplitude, but not zero. Am I missing something ? Maybe congress changed the laws of physics.

                L Offline
                L Offline
                Lost User
                wrote on last edited by
                #19

                Quote:

                Maybe congress changed the laws of physics.

                Not Congress. It was Al Gore!

                Get me coffee and no one gets hurt!

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                • K Kenneth Haugland

                  360 degrees is just for the stupid humans since we like whole numbers. Non-rational numbers aren't so nice for us. Pi is a number to describe the relations in a circle, and it is basically how Sinus and Cosinus are defined.

                  9 Offline
                  9 Offline
                  9082365
                  wrote on last edited by
                  #20

                  Kenneth Haugland wrote:

                  how Sinus and Cosinus are defined

                  Are you sure about that? The ratio of sides of a triangle is totally independent of the units used to measure the angle.

                  I am not a number. I am a ... no, wait!

                  K 1 Reply Last reply
                  0
                  • K Kenneth Haugland

                    360 degrees is just for the stupid humans since we like whole numbers. Non-rational numbers aren't so nice for us. Pi is a number to describe the relations in a circle, and it is basically how Sinus and Cosinus are defined.

                    Kornfeld Eliyahu PeterK Offline
                    Kornfeld Eliyahu PeterK Offline
                    Kornfeld Eliyahu Peter
                    wrote on last edited by
                    #21

                    I think that 2π is very nice...

                    Skipper: We'll fix it. Alex: Fix it? How you gonna fix this? Skipper: Grit, spit and a whole lotta duct tape.

                    "It never ceases to amaze me that a spacecraft launched in 1977 can be fixed remotely from Earth." ― Brian Cox

                    OriginalGriffO F 2 Replies Last reply
                    0
                    • K Kenneth Haugland

                      360 degrees is just for the stupid humans since we like whole numbers. Non-rational numbers aren't so nice for us. Pi is a number to describe the relations in a circle, and it is basically how Sinus and Cosinus are defined.

                      L Offline
                      L Offline
                      Lost User
                      wrote on last edited by
                      #22

                      That's why I bought a watch in 2 PI :laugh:

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                      • OriginalGriffO OriginalGriff

                        It looks fine for me: 2.06 radians as a phase shift with a frequency of 3 looks about right given that

                        3 * (2.06 / 2) = 3.09 ~= π

                        Bad command or file name. Bad, bad command! Sit! Stay! Staaaay...

                        S Offline
                        S Offline
                        Sascha Lefevre
                        wrote on last edited by
                        #23

                        The effect of the phase shift should be independent of the frequency. A phase shift of π will always "flip" a sine graph horizontally. Now enter a frequency of 2 and look at the graphs for a phase shift of 0 and then 3.141 :laugh:

                        If the brain were so simple we could understand it, we would be so simple we couldn't. — Lyall Watson

                        OriginalGriffO 1 Reply Last reply
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                        • Kornfeld Eliyahu PeterK Kornfeld Eliyahu Peter

                          I think that 2π is very nice...

                          Skipper: We'll fix it. Alex: Fix it? How you gonna fix this? Skipper: Grit, spit and a whole lotta duct tape.

                          OriginalGriffO Offline
                          OriginalGriffO Offline
                          OriginalGriff
                          wrote on last edited by
                          #24

                          I prefer ><(((o> π

                          Bad command or file name. Bad, bad command! Sit! Stay! Staaaay...

                          "I have no idea what I did, but I'm taking full credit for it." - ThisOldTony
                          "Common sense is so rare these days, it should be classified as a super power" - Random T-shirt

                          Kornfeld Eliyahu PeterK 1 Reply Last reply
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                          • S Sascha Lefevre

                            The effect of the phase shift should be independent of the frequency. A phase shift of π will always "flip" a sine graph horizontally. Now enter a frequency of 2 and look at the graphs for a phase shift of 0 and then 3.141 :laugh:

                            If the brain were so simple we could understand it, we would be so simple we couldn't. — Lyall Watson

                            OriginalGriffO Offline
                            OriginalGriffO Offline
                            OriginalGriff
                            wrote on last edited by
                            #25

                            See what you mean, but I see what they are doing as well.

                            Bad command or file name. Bad, bad command! Sit! Stay! Staaaay...

                            "I have no idea what I did, but I'm taking full credit for it." - ThisOldTony
                            "Common sense is so rare these days, it should be classified as a super power" - Random T-shirt

                            S 1 Reply Last reply
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                            • OriginalGriffO OriginalGriff

                              I prefer ><(((o> π

                              Bad command or file name. Bad, bad command! Sit! Stay! Staaaay...

                              Kornfeld Eliyahu PeterK Offline
                              Kornfeld Eliyahu PeterK Offline
                              Kornfeld Eliyahu Peter
                              wrote on last edited by
                              #26

                              I meant apple π and cherry π :-D

                              Skipper: We'll fix it. Alex: Fix it? How you gonna fix this? Skipper: Grit, spit and a whole lotta duct tape.

                              "It never ceases to amaze me that a spacecraft launched in 1977 can be fixed remotely from Earth." ― Brian Cox

                              OriginalGriffO 1 Reply Last reply
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                              • OriginalGriffO OriginalGriff

                                See what you mean, but I see what they are doing as well.

                                Bad command or file name. Bad, bad command! Sit! Stay! Staaaay...

                                S Offline
                                S Offline
                                Sascha Lefevre
                                wrote on last edited by
                                #27

                                OriginalGriff wrote:

                                but I see what they are doing as well.

                                Don't think so: f=2, p=0 -> draw yellow, add, add -> double amplitude f=2, p=0 -> draw yellow, add; f=2, p=3.141 -> add -> double amplitude, should be flat.

                                If the brain were so simple we could understand it, we would be so simple we couldn't. — Lyall Watson

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                                • 9 9082365

                                  Kenneth Haugland wrote:

                                  how Sinus and Cosinus are defined

                                  Are you sure about that? The ratio of sides of a triangle is totally independent of the units used to measure the angle.

                                  I am not a number. I am a ... no, wait!

                                  K Offline
                                  K Offline
                                  Kenneth Haugland
                                  wrote on last edited by
                                  #28

                                  Well, its all connected: Sin(2*pi*n) = 0 Without pi the Taylor series is sin and cosine is pretty much useless in Fourier Transform for instance.

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                                  • Kornfeld Eliyahu PeterK Kornfeld Eliyahu Peter

                                    I think that 2π is very nice...

                                    Skipper: We'll fix it. Alex: Fix it? How you gonna fix this? Skipper: Grit, spit and a whole lotta duct tape.

                                    F Offline
                                    F Offline
                                    Forogar
                                    wrote on last edited by
                                    #29

                                    Shakespeare Geometry: 2π or not 2π? (That is the question.)

                                    - I would love to change the world, but they won’t give me the source code.

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                                    • Kornfeld Eliyahu PeterK Kornfeld Eliyahu Peter

                                      I meant apple π and cherry π :-D

                                      Skipper: We'll fix it. Alex: Fix it? How you gonna fix this? Skipper: Grit, spit and a whole lotta duct tape.

                                      OriginalGriffO Offline
                                      OriginalGriffO Offline
                                      OriginalGriff
                                      wrote on last edited by
                                      #30

                                      Wouldn't that be iπ?

                                      Bad command or file name. Bad, bad command! Sit! Stay! Staaaay...

                                      "I have no idea what I did, but I'm taking full credit for it." - ThisOldTony
                                      "Common sense is so rare these days, it should be classified as a super power" - Random T-shirt

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                                      • OriginalGriffO OriginalGriff

                                        Does that mean I have to become racist and get a comb-over? :laugh:

                                        Bad command or file name. Bad, bad command! Sit! Stay! Staaaay...

                                        Richard Andrew x64R Offline
                                        Richard Andrew x64R Offline
                                        Richard Andrew x64
                                        wrote on last edited by
                                        #31

                                        OriginalGriff wrote:

                                        Does that mean I have to become racist and get a comb-over?

                                        Obama doesn't have a comb-over. :rolleyes:

                                        The difficult we do right away... ...the impossible takes slightly longer.

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                                        • K Kenneth Haugland

                                          If you have problems finding this on google, you might just as well create a program that does it :D

                                          C Offline
                                          C Offline
                                          C P User 3
                                          wrote on last edited by
                                          #32

                                          Hold it, Microsoft *Excel* will do that, I think. Yes ? No ? Will LibreOffice *Impress* also do the same thing ? I seem to remember this from 3 or 4 years ago. We did this with some procedure.

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