How exactly DOES AM/FM carry both pitch and loudness of voice? Why does nobody ask this question?

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I do have a primary EE question, #1 at the end and described as follows, so please bear with my rant. I've always been boggled by this, and in the hundreds of explanations, YouTube videos, and radio tutorials I have seen, nobody addresses what to me is the most obvious, glaring question, to which I haven't found a satisfactory answer, making me feel a little paranoid like everyone knows something I don't.



Almost every tutorial on AM/FM modulation shows the modulating signal as something like a simple tone or continuous sine wave. Now that's easy, and for AM you just superimpose the modulating signal over the carrier wave as an envelope, and voila, and for FM you continuously and consistently vary the frequency. but no one seems to point out the obvious problem... Voice has both pitch, i.e. frequency, and loudness, which are two separate analog data streams. No tutorial nor explanation I have seen then takes the next, glaringly necessary step, to explain how both aspects are transmitted over radio schemes that apparently can only take one degree of variation, i.e.
amplitude for AM or frequency for FM.



I primarily asking here, specifically, how it is done, of course. But I am also curious as to why this next obvious question that never seems to arise to the people making these tutorials and explanations, nor is the answer easily found out there, as I've been fruitlessly searching.



TL;DR:



  1. How does AM or FM modulation, each of which only have one modulatable variable, carry both the pitch and loudness of voice, which are at least two distinct analog streams of data?


  2. Why does absolutely nobody seems to address this glaring question in any tutorials/video/write-up on radio modulation?










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  • 1




    You understand how a signal is modulated, right? So it has the frequency, which is a pitch (roughly speaking), and amplitude - which is the "loudness". These are not different streams. These are parts of the same "wave", which is the "envelope" of ,say AM-modulated signal..
    – Eugene Sh.
    50 mins ago











  • Both modulation schemes modulate the carrier amplitude or frequency with all aspects of the audio signal, though stations do use compression of the audio to avoid over modulation which leads to severe distortion and side-band noise.
    – Sparky256
    44 mins ago














up vote
1
down vote

favorite












I do have a primary EE question, #1 at the end and described as follows, so please bear with my rant. I've always been boggled by this, and in the hundreds of explanations, YouTube videos, and radio tutorials I have seen, nobody addresses what to me is the most obvious, glaring question, to which I haven't found a satisfactory answer, making me feel a little paranoid like everyone knows something I don't.



Almost every tutorial on AM/FM modulation shows the modulating signal as something like a simple tone or continuous sine wave. Now that's easy, and for AM you just superimpose the modulating signal over the carrier wave as an envelope, and voila, and for FM you continuously and consistently vary the frequency. but no one seems to point out the obvious problem... Voice has both pitch, i.e. frequency, and loudness, which are two separate analog data streams. No tutorial nor explanation I have seen then takes the next, glaringly necessary step, to explain how both aspects are transmitted over radio schemes that apparently can only take one degree of variation, i.e.
amplitude for AM or frequency for FM.



I primarily asking here, specifically, how it is done, of course. But I am also curious as to why this next obvious question that never seems to arise to the people making these tutorials and explanations, nor is the answer easily found out there, as I've been fruitlessly searching.



TL;DR:



  1. How does AM or FM modulation, each of which only have one modulatable variable, carry both the pitch and loudness of voice, which are at least two distinct analog streams of data?


  2. Why does absolutely nobody seems to address this glaring question in any tutorials/video/write-up on radio modulation?










share|improve this question









New contributor




aAaa aAaa is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.















  • 1




    You understand how a signal is modulated, right? So it has the frequency, which is a pitch (roughly speaking), and amplitude - which is the "loudness". These are not different streams. These are parts of the same "wave", which is the "envelope" of ,say AM-modulated signal..
    – Eugene Sh.
    50 mins ago











  • Both modulation schemes modulate the carrier amplitude or frequency with all aspects of the audio signal, though stations do use compression of the audio to avoid over modulation which leads to severe distortion and side-band noise.
    – Sparky256
    44 mins ago












up vote
1
down vote

favorite









up vote
1
down vote

favorite











I do have a primary EE question, #1 at the end and described as follows, so please bear with my rant. I've always been boggled by this, and in the hundreds of explanations, YouTube videos, and radio tutorials I have seen, nobody addresses what to me is the most obvious, glaring question, to which I haven't found a satisfactory answer, making me feel a little paranoid like everyone knows something I don't.



Almost every tutorial on AM/FM modulation shows the modulating signal as something like a simple tone or continuous sine wave. Now that's easy, and for AM you just superimpose the modulating signal over the carrier wave as an envelope, and voila, and for FM you continuously and consistently vary the frequency. but no one seems to point out the obvious problem... Voice has both pitch, i.e. frequency, and loudness, which are two separate analog data streams. No tutorial nor explanation I have seen then takes the next, glaringly necessary step, to explain how both aspects are transmitted over radio schemes that apparently can only take one degree of variation, i.e.
amplitude for AM or frequency for FM.



I primarily asking here, specifically, how it is done, of course. But I am also curious as to why this next obvious question that never seems to arise to the people making these tutorials and explanations, nor is the answer easily found out there, as I've been fruitlessly searching.



TL;DR:



  1. How does AM or FM modulation, each of which only have one modulatable variable, carry both the pitch and loudness of voice, which are at least two distinct analog streams of data?


  2. Why does absolutely nobody seems to address this glaring question in any tutorials/video/write-up on radio modulation?










share|improve this question









New contributor




aAaa aAaa is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











I do have a primary EE question, #1 at the end and described as follows, so please bear with my rant. I've always been boggled by this, and in the hundreds of explanations, YouTube videos, and radio tutorials I have seen, nobody addresses what to me is the most obvious, glaring question, to which I haven't found a satisfactory answer, making me feel a little paranoid like everyone knows something I don't.



Almost every tutorial on AM/FM modulation shows the modulating signal as something like a simple tone or continuous sine wave. Now that's easy, and for AM you just superimpose the modulating signal over the carrier wave as an envelope, and voila, and for FM you continuously and consistently vary the frequency. but no one seems to point out the obvious problem... Voice has both pitch, i.e. frequency, and loudness, which are two separate analog data streams. No tutorial nor explanation I have seen then takes the next, glaringly necessary step, to explain how both aspects are transmitted over radio schemes that apparently can only take one degree of variation, i.e.
amplitude for AM or frequency for FM.



I primarily asking here, specifically, how it is done, of course. But I am also curious as to why this next obvious question that never seems to arise to the people making these tutorials and explanations, nor is the answer easily found out there, as I've been fruitlessly searching.



TL;DR:



  1. How does AM or FM modulation, each of which only have one modulatable variable, carry both the pitch and loudness of voice, which are at least two distinct analog streams of data?


  2. Why does absolutely nobody seems to address this glaring question in any tutorials/video/write-up on radio modulation?







modulation fm amplitude-modulation






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edited 39 mins ago









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  • 1




    You understand how a signal is modulated, right? So it has the frequency, which is a pitch (roughly speaking), and amplitude - which is the "loudness". These are not different streams. These are parts of the same "wave", which is the "envelope" of ,say AM-modulated signal..
    – Eugene Sh.
    50 mins ago











  • Both modulation schemes modulate the carrier amplitude or frequency with all aspects of the audio signal, though stations do use compression of the audio to avoid over modulation which leads to severe distortion and side-band noise.
    – Sparky256
    44 mins ago












  • 1




    You understand how a signal is modulated, right? So it has the frequency, which is a pitch (roughly speaking), and amplitude - which is the "loudness". These are not different streams. These are parts of the same "wave", which is the "envelope" of ,say AM-modulated signal..
    – Eugene Sh.
    50 mins ago











  • Both modulation schemes modulate the carrier amplitude or frequency with all aspects of the audio signal, though stations do use compression of the audio to avoid over modulation which leads to severe distortion and side-band noise.
    – Sparky256
    44 mins ago







1




1




You understand how a signal is modulated, right? So it has the frequency, which is a pitch (roughly speaking), and amplitude - which is the "loudness". These are not different streams. These are parts of the same "wave", which is the "envelope" of ,say AM-modulated signal..
– Eugene Sh.
50 mins ago





You understand how a signal is modulated, right? So it has the frequency, which is a pitch (roughly speaking), and amplitude - which is the "loudness". These are not different streams. These are parts of the same "wave", which is the "envelope" of ,say AM-modulated signal..
– Eugene Sh.
50 mins ago













Both modulation schemes modulate the carrier amplitude or frequency with all aspects of the audio signal, though stations do use compression of the audio to avoid over modulation which leads to severe distortion and side-band noise.
– Sparky256
44 mins ago




Both modulation schemes modulate the carrier amplitude or frequency with all aspects of the audio signal, though stations do use compression of the audio to avoid over modulation which leads to severe distortion and side-band noise.
– Sparky256
44 mins ago










4 Answers
4






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up vote
4
down vote














Voice has both pitch, i.e. frequency, and loudness, which are two separate analog data streams.




No. Voice is transmitted initially as one analog 'stream' of sound pressure waves in which the air pressure variation amplitude corresponds to the volume (at that instant) and the rate of change gives the pitch.




No tutorial ... explain[s] how both aspects are transmitted over radio schemes that apparently can only take one degree of variation, ...




The AM and FM modulation schemes are analog and are called analog because the modulation is analagous (adjective, comparable in certain respects, typically in a way which makes clearer the nature of the things compared) to the original signal - voice or music.




But I am also curious as to why this next obvious question that never seems to arise to the people making these tutorials and explanations, nor is the answer easily found out there, as I've been fruitlessly searching.




Maybe there's an opportunity for you there when you figure it out.



The tutorials demonstrate the results with sinusoidal signals because otherwise it would be impossible to see the modulation of a complex signal on a reasonable scale on a diagram.



enter image description here



Figure 1. The Simplified analysis of standard AM from Wikipedia goes a little bit of the way to describe what you are asking.



Notice in the illustration that the waveform is not sinusoidal but is an arbitrary waveform. Notice also that the amplitude modulation just follows the signal waveform. There's not much more to it. The microphone will convert the voice into an analog electrical signal and the modulator will modulate the carrier analogously too.






share|improve this answer


















  • 1




    Aaaah. I got it now. I feel kinda dumb...although, certainly, no tutorial I have seen addresses the second part, showing how it works with complex waves, but I totally missed the part about the instantaneous amplitude of versus the rate of change of the amplitude being the actual frequency change. Darn it. And all these years I didn't get it.
    – aAaa aAaa
    39 mins ago











  • Have a look at the update. I found what you were looking for on Wikipedia.
    – Transistor
    32 mins ago










  • @aAaaaAaa. No need to feel 'dumb'. AM radio has been around since the 1950's and basic FM since the late 1960's. We grew up with it for so long that the details drifted our way over time. It worked so we did not ask for more details.
    – Sparky256
    30 mins ago










  • AM radio was around much earlier than the 1950s - Wiki says widespread broadcasting started in the 1920s. FM was invented in 1933 with experimental broadcasts in 1934.
    – Peter Bennett
    2 mins ago


















up vote
1
down vote













Forget about radio — how do you think voice is transmitted over a wire, which only has "voltage" — again, a single variable?



The point is, "pitch" and "amplitude" are abstract parameters of a single-valued function of time. In fact, you can superimpose many different signals at different frequencies on a single wire. Each component of such a complex waveform has its own frequency, phase and amplitude, yet we can still tell them apart.



It is possible to convert voltage to amplitude in an AM transmitter, and convert it to frequency in an FM transmitter. In both cases, the signal can be converted by the receiver back into a replica of the same voltage waveform that created the modulation in the first place.



So if you believe that voice (and music, for that matter) can be transmitted over a wire, it's a simple extension to transmit it as a radio signal.






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    down vote













    In a simple AM system, the transmitted signal is something like



    $$x(t) = Aleft(1+m(t)right) sinomega_c t$$



    and $m(t)$ is called the message signal.



    In an AM radio, the message signal basically just says how hard to push the speaker cone at each instant in time. If the audio signal is a single tone, $m(t)$ will itself be a sinusoid.



    If you want a louder tone, you increase the amplitude of $m(t)$. If you want a higher frequency tone, you increase the frequency of $m(t)$.



    And if you want a musical audio signal, you sum together multiple tones with different frequencies and amplitudes, and vary them in a melodic way.






    share|improve this answer



























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      Sound is just a single-dimensional time-varying signal. Microphones essentially continuously track variations in air pressure. At any point in time, this is a single value. This value is what gets 'modulated' onto the carrier.



      This single-dimensional time-varying signal carries both the loudness and pitch information. It can actually contain the loudness and pitch information for many different voices at the same time, or many musical instruments at the same time, etc. in this single time-varying value.






      share|improve this answer




















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        4 Answers
        4






        active

        oldest

        votes








        4 Answers
        4






        active

        oldest

        votes









        active

        oldest

        votes






        active

        oldest

        votes








        up vote
        4
        down vote














        Voice has both pitch, i.e. frequency, and loudness, which are two separate analog data streams.




        No. Voice is transmitted initially as one analog 'stream' of sound pressure waves in which the air pressure variation amplitude corresponds to the volume (at that instant) and the rate of change gives the pitch.




        No tutorial ... explain[s] how both aspects are transmitted over radio schemes that apparently can only take one degree of variation, ...




        The AM and FM modulation schemes are analog and are called analog because the modulation is analagous (adjective, comparable in certain respects, typically in a way which makes clearer the nature of the things compared) to the original signal - voice or music.




        But I am also curious as to why this next obvious question that never seems to arise to the people making these tutorials and explanations, nor is the answer easily found out there, as I've been fruitlessly searching.




        Maybe there's an opportunity for you there when you figure it out.



        The tutorials demonstrate the results with sinusoidal signals because otherwise it would be impossible to see the modulation of a complex signal on a reasonable scale on a diagram.



        enter image description here



        Figure 1. The Simplified analysis of standard AM from Wikipedia goes a little bit of the way to describe what you are asking.



        Notice in the illustration that the waveform is not sinusoidal but is an arbitrary waveform. Notice also that the amplitude modulation just follows the signal waveform. There's not much more to it. The microphone will convert the voice into an analog electrical signal and the modulator will modulate the carrier analogously too.






        share|improve this answer


















        • 1




          Aaaah. I got it now. I feel kinda dumb...although, certainly, no tutorial I have seen addresses the second part, showing how it works with complex waves, but I totally missed the part about the instantaneous amplitude of versus the rate of change of the amplitude being the actual frequency change. Darn it. And all these years I didn't get it.
          – aAaa aAaa
          39 mins ago











        • Have a look at the update. I found what you were looking for on Wikipedia.
          – Transistor
          32 mins ago










        • @aAaaaAaa. No need to feel 'dumb'. AM radio has been around since the 1950's and basic FM since the late 1960's. We grew up with it for so long that the details drifted our way over time. It worked so we did not ask for more details.
          – Sparky256
          30 mins ago










        • AM radio was around much earlier than the 1950s - Wiki says widespread broadcasting started in the 1920s. FM was invented in 1933 with experimental broadcasts in 1934.
          – Peter Bennett
          2 mins ago















        up vote
        4
        down vote














        Voice has both pitch, i.e. frequency, and loudness, which are two separate analog data streams.




        No. Voice is transmitted initially as one analog 'stream' of sound pressure waves in which the air pressure variation amplitude corresponds to the volume (at that instant) and the rate of change gives the pitch.




        No tutorial ... explain[s] how both aspects are transmitted over radio schemes that apparently can only take one degree of variation, ...




        The AM and FM modulation schemes are analog and are called analog because the modulation is analagous (adjective, comparable in certain respects, typically in a way which makes clearer the nature of the things compared) to the original signal - voice or music.




        But I am also curious as to why this next obvious question that never seems to arise to the people making these tutorials and explanations, nor is the answer easily found out there, as I've been fruitlessly searching.




        Maybe there's an opportunity for you there when you figure it out.



        The tutorials demonstrate the results with sinusoidal signals because otherwise it would be impossible to see the modulation of a complex signal on a reasonable scale on a diagram.



        enter image description here



        Figure 1. The Simplified analysis of standard AM from Wikipedia goes a little bit of the way to describe what you are asking.



        Notice in the illustration that the waveform is not sinusoidal but is an arbitrary waveform. Notice also that the amplitude modulation just follows the signal waveform. There's not much more to it. The microphone will convert the voice into an analog electrical signal and the modulator will modulate the carrier analogously too.






        share|improve this answer


















        • 1




          Aaaah. I got it now. I feel kinda dumb...although, certainly, no tutorial I have seen addresses the second part, showing how it works with complex waves, but I totally missed the part about the instantaneous amplitude of versus the rate of change of the amplitude being the actual frequency change. Darn it. And all these years I didn't get it.
          – aAaa aAaa
          39 mins ago











        • Have a look at the update. I found what you were looking for on Wikipedia.
          – Transistor
          32 mins ago










        • @aAaaaAaa. No need to feel 'dumb'. AM radio has been around since the 1950's and basic FM since the late 1960's. We grew up with it for so long that the details drifted our way over time. It worked so we did not ask for more details.
          – Sparky256
          30 mins ago










        • AM radio was around much earlier than the 1950s - Wiki says widespread broadcasting started in the 1920s. FM was invented in 1933 with experimental broadcasts in 1934.
          – Peter Bennett
          2 mins ago













        up vote
        4
        down vote










        up vote
        4
        down vote










        Voice has both pitch, i.e. frequency, and loudness, which are two separate analog data streams.




        No. Voice is transmitted initially as one analog 'stream' of sound pressure waves in which the air pressure variation amplitude corresponds to the volume (at that instant) and the rate of change gives the pitch.




        No tutorial ... explain[s] how both aspects are transmitted over radio schemes that apparently can only take one degree of variation, ...




        The AM and FM modulation schemes are analog and are called analog because the modulation is analagous (adjective, comparable in certain respects, typically in a way which makes clearer the nature of the things compared) to the original signal - voice or music.




        But I am also curious as to why this next obvious question that never seems to arise to the people making these tutorials and explanations, nor is the answer easily found out there, as I've been fruitlessly searching.




        Maybe there's an opportunity for you there when you figure it out.



        The tutorials demonstrate the results with sinusoidal signals because otherwise it would be impossible to see the modulation of a complex signal on a reasonable scale on a diagram.



        enter image description here



        Figure 1. The Simplified analysis of standard AM from Wikipedia goes a little bit of the way to describe what you are asking.



        Notice in the illustration that the waveform is not sinusoidal but is an arbitrary waveform. Notice also that the amplitude modulation just follows the signal waveform. There's not much more to it. The microphone will convert the voice into an analog electrical signal and the modulator will modulate the carrier analogously too.






        share|improve this answer















        Voice has both pitch, i.e. frequency, and loudness, which are two separate analog data streams.




        No. Voice is transmitted initially as one analog 'stream' of sound pressure waves in which the air pressure variation amplitude corresponds to the volume (at that instant) and the rate of change gives the pitch.




        No tutorial ... explain[s] how both aspects are transmitted over radio schemes that apparently can only take one degree of variation, ...




        The AM and FM modulation schemes are analog and are called analog because the modulation is analagous (adjective, comparable in certain respects, typically in a way which makes clearer the nature of the things compared) to the original signal - voice or music.




        But I am also curious as to why this next obvious question that never seems to arise to the people making these tutorials and explanations, nor is the answer easily found out there, as I've been fruitlessly searching.




        Maybe there's an opportunity for you there when you figure it out.



        The tutorials demonstrate the results with sinusoidal signals because otherwise it would be impossible to see the modulation of a complex signal on a reasonable scale on a diagram.



        enter image description here



        Figure 1. The Simplified analysis of standard AM from Wikipedia goes a little bit of the way to describe what you are asking.



        Notice in the illustration that the waveform is not sinusoidal but is an arbitrary waveform. Notice also that the amplitude modulation just follows the signal waveform. There's not much more to it. The microphone will convert the voice into an analog electrical signal and the modulator will modulate the carrier analogously too.







        share|improve this answer














        share|improve this answer



        share|improve this answer








        edited 29 mins ago

























        answered 42 mins ago









        Transistor

        73.5k570158




        73.5k570158







        • 1




          Aaaah. I got it now. I feel kinda dumb...although, certainly, no tutorial I have seen addresses the second part, showing how it works with complex waves, but I totally missed the part about the instantaneous amplitude of versus the rate of change of the amplitude being the actual frequency change. Darn it. And all these years I didn't get it.
          – aAaa aAaa
          39 mins ago











        • Have a look at the update. I found what you were looking for on Wikipedia.
          – Transistor
          32 mins ago










        • @aAaaaAaa. No need to feel 'dumb'. AM radio has been around since the 1950's and basic FM since the late 1960's. We grew up with it for so long that the details drifted our way over time. It worked so we did not ask for more details.
          – Sparky256
          30 mins ago










        • AM radio was around much earlier than the 1950s - Wiki says widespread broadcasting started in the 1920s. FM was invented in 1933 with experimental broadcasts in 1934.
          – Peter Bennett
          2 mins ago













        • 1




          Aaaah. I got it now. I feel kinda dumb...although, certainly, no tutorial I have seen addresses the second part, showing how it works with complex waves, but I totally missed the part about the instantaneous amplitude of versus the rate of change of the amplitude being the actual frequency change. Darn it. And all these years I didn't get it.
          – aAaa aAaa
          39 mins ago











        • Have a look at the update. I found what you were looking for on Wikipedia.
          – Transistor
          32 mins ago










        • @aAaaaAaa. No need to feel 'dumb'. AM radio has been around since the 1950's and basic FM since the late 1960's. We grew up with it for so long that the details drifted our way over time. It worked so we did not ask for more details.
          – Sparky256
          30 mins ago










        • AM radio was around much earlier than the 1950s - Wiki says widespread broadcasting started in the 1920s. FM was invented in 1933 with experimental broadcasts in 1934.
          – Peter Bennett
          2 mins ago








        1




        1




        Aaaah. I got it now. I feel kinda dumb...although, certainly, no tutorial I have seen addresses the second part, showing how it works with complex waves, but I totally missed the part about the instantaneous amplitude of versus the rate of change of the amplitude being the actual frequency change. Darn it. And all these years I didn't get it.
        – aAaa aAaa
        39 mins ago





        Aaaah. I got it now. I feel kinda dumb...although, certainly, no tutorial I have seen addresses the second part, showing how it works with complex waves, but I totally missed the part about the instantaneous amplitude of versus the rate of change of the amplitude being the actual frequency change. Darn it. And all these years I didn't get it.
        – aAaa aAaa
        39 mins ago













        Have a look at the update. I found what you were looking for on Wikipedia.
        – Transistor
        32 mins ago




        Have a look at the update. I found what you were looking for on Wikipedia.
        – Transistor
        32 mins ago












        @aAaaaAaa. No need to feel 'dumb'. AM radio has been around since the 1950's and basic FM since the late 1960's. We grew up with it for so long that the details drifted our way over time. It worked so we did not ask for more details.
        – Sparky256
        30 mins ago




        @aAaaaAaa. No need to feel 'dumb'. AM radio has been around since the 1950's and basic FM since the late 1960's. We grew up with it for so long that the details drifted our way over time. It worked so we did not ask for more details.
        – Sparky256
        30 mins ago












        AM radio was around much earlier than the 1950s - Wiki says widespread broadcasting started in the 1920s. FM was invented in 1933 with experimental broadcasts in 1934.
        – Peter Bennett
        2 mins ago





        AM radio was around much earlier than the 1950s - Wiki says widespread broadcasting started in the 1920s. FM was invented in 1933 with experimental broadcasts in 1934.
        – Peter Bennett
        2 mins ago













        up vote
        1
        down vote













        Forget about radio — how do you think voice is transmitted over a wire, which only has "voltage" — again, a single variable?



        The point is, "pitch" and "amplitude" are abstract parameters of a single-valued function of time. In fact, you can superimpose many different signals at different frequencies on a single wire. Each component of such a complex waveform has its own frequency, phase and amplitude, yet we can still tell them apart.



        It is possible to convert voltage to amplitude in an AM transmitter, and convert it to frequency in an FM transmitter. In both cases, the signal can be converted by the receiver back into a replica of the same voltage waveform that created the modulation in the first place.



        So if you believe that voice (and music, for that matter) can be transmitted over a wire, it's a simple extension to transmit it as a radio signal.






        share|improve this answer


























          up vote
          1
          down vote













          Forget about radio — how do you think voice is transmitted over a wire, which only has "voltage" — again, a single variable?



          The point is, "pitch" and "amplitude" are abstract parameters of a single-valued function of time. In fact, you can superimpose many different signals at different frequencies on a single wire. Each component of such a complex waveform has its own frequency, phase and amplitude, yet we can still tell them apart.



          It is possible to convert voltage to amplitude in an AM transmitter, and convert it to frequency in an FM transmitter. In both cases, the signal can be converted by the receiver back into a replica of the same voltage waveform that created the modulation in the first place.



          So if you believe that voice (and music, for that matter) can be transmitted over a wire, it's a simple extension to transmit it as a radio signal.






          share|improve this answer
























            up vote
            1
            down vote










            up vote
            1
            down vote









            Forget about radio — how do you think voice is transmitted over a wire, which only has "voltage" — again, a single variable?



            The point is, "pitch" and "amplitude" are abstract parameters of a single-valued function of time. In fact, you can superimpose many different signals at different frequencies on a single wire. Each component of such a complex waveform has its own frequency, phase and amplitude, yet we can still tell them apart.



            It is possible to convert voltage to amplitude in an AM transmitter, and convert it to frequency in an FM transmitter. In both cases, the signal can be converted by the receiver back into a replica of the same voltage waveform that created the modulation in the first place.



            So if you believe that voice (and music, for that matter) can be transmitted over a wire, it's a simple extension to transmit it as a radio signal.






            share|improve this answer














            Forget about radio — how do you think voice is transmitted over a wire, which only has "voltage" — again, a single variable?



            The point is, "pitch" and "amplitude" are abstract parameters of a single-valued function of time. In fact, you can superimpose many different signals at different frequencies on a single wire. Each component of such a complex waveform has its own frequency, phase and amplitude, yet we can still tell them apart.



            It is possible to convert voltage to amplitude in an AM transmitter, and convert it to frequency in an FM transmitter. In both cases, the signal can be converted by the receiver back into a replica of the same voltage waveform that created the modulation in the first place.



            So if you believe that voice (and music, for that matter) can be transmitted over a wire, it's a simple extension to transmit it as a radio signal.







            share|improve this answer














            share|improve this answer



            share|improve this answer








            edited 16 mins ago

























            answered 33 mins ago









            Dave Tweed♦

            109k9131235




            109k9131235




















                up vote
                0
                down vote













                In a simple AM system, the transmitted signal is something like



                $$x(t) = Aleft(1+m(t)right) sinomega_c t$$



                and $m(t)$ is called the message signal.



                In an AM radio, the message signal basically just says how hard to push the speaker cone at each instant in time. If the audio signal is a single tone, $m(t)$ will itself be a sinusoid.



                If you want a louder tone, you increase the amplitude of $m(t)$. If you want a higher frequency tone, you increase the frequency of $m(t)$.



                And if you want a musical audio signal, you sum together multiple tones with different frequencies and amplitudes, and vary them in a melodic way.






                share|improve this answer
























                  up vote
                  0
                  down vote













                  In a simple AM system, the transmitted signal is something like



                  $$x(t) = Aleft(1+m(t)right) sinomega_c t$$



                  and $m(t)$ is called the message signal.



                  In an AM radio, the message signal basically just says how hard to push the speaker cone at each instant in time. If the audio signal is a single tone, $m(t)$ will itself be a sinusoid.



                  If you want a louder tone, you increase the amplitude of $m(t)$. If you want a higher frequency tone, you increase the frequency of $m(t)$.



                  And if you want a musical audio signal, you sum together multiple tones with different frequencies and amplitudes, and vary them in a melodic way.






                  share|improve this answer






















                    up vote
                    0
                    down vote










                    up vote
                    0
                    down vote









                    In a simple AM system, the transmitted signal is something like



                    $$x(t) = Aleft(1+m(t)right) sinomega_c t$$



                    and $m(t)$ is called the message signal.



                    In an AM radio, the message signal basically just says how hard to push the speaker cone at each instant in time. If the audio signal is a single tone, $m(t)$ will itself be a sinusoid.



                    If you want a louder tone, you increase the amplitude of $m(t)$. If you want a higher frequency tone, you increase the frequency of $m(t)$.



                    And if you want a musical audio signal, you sum together multiple tones with different frequencies and amplitudes, and vary them in a melodic way.






                    share|improve this answer












                    In a simple AM system, the transmitted signal is something like



                    $$x(t) = Aleft(1+m(t)right) sinomega_c t$$



                    and $m(t)$ is called the message signal.



                    In an AM radio, the message signal basically just says how hard to push the speaker cone at each instant in time. If the audio signal is a single tone, $m(t)$ will itself be a sinusoid.



                    If you want a louder tone, you increase the amplitude of $m(t)$. If you want a higher frequency tone, you increase the frequency of $m(t)$.



                    And if you want a musical audio signal, you sum together multiple tones with different frequencies and amplitudes, and vary them in a melodic way.







                    share|improve this answer












                    share|improve this answer



                    share|improve this answer










                    answered 43 mins ago









                    The Photon

                    79.7k394189




                    79.7k394189




















                        up vote
                        0
                        down vote













                        Sound is just a single-dimensional time-varying signal. Microphones essentially continuously track variations in air pressure. At any point in time, this is a single value. This value is what gets 'modulated' onto the carrier.



                        This single-dimensional time-varying signal carries both the loudness and pitch information. It can actually contain the loudness and pitch information for many different voices at the same time, or many musical instruments at the same time, etc. in this single time-varying value.






                        share|improve this answer
























                          up vote
                          0
                          down vote













                          Sound is just a single-dimensional time-varying signal. Microphones essentially continuously track variations in air pressure. At any point in time, this is a single value. This value is what gets 'modulated' onto the carrier.



                          This single-dimensional time-varying signal carries both the loudness and pitch information. It can actually contain the loudness and pitch information for many different voices at the same time, or many musical instruments at the same time, etc. in this single time-varying value.






                          share|improve this answer






















                            up vote
                            0
                            down vote










                            up vote
                            0
                            down vote









                            Sound is just a single-dimensional time-varying signal. Microphones essentially continuously track variations in air pressure. At any point in time, this is a single value. This value is what gets 'modulated' onto the carrier.



                            This single-dimensional time-varying signal carries both the loudness and pitch information. It can actually contain the loudness and pitch information for many different voices at the same time, or many musical instruments at the same time, etc. in this single time-varying value.






                            share|improve this answer












                            Sound is just a single-dimensional time-varying signal. Microphones essentially continuously track variations in air pressure. At any point in time, this is a single value. This value is what gets 'modulated' onto the carrier.



                            This single-dimensional time-varying signal carries both the loudness and pitch information. It can actually contain the loudness and pitch information for many different voices at the same time, or many musical instruments at the same time, etc. in this single time-varying value.







                            share|improve this answer












                            share|improve this answer



                            share|improve this answer










                            answered 34 mins ago









                            alex.forencich

                            31.3k14682




                            31.3k14682




















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