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重庆体彩网ine waves and square waves sound completely different, don't they? 重庆体彩网ell maybe not always. 重庆体彩网s the frequency rises, they become more and more similar. 重庆体彩网his video explores the differences and similarities between sine waves and square waves. 重庆体彩网nd it will test your hearing!
重庆体彩网重庆体彩网ine waves and square waves. 重庆体彩网hey sound different don't they? 重庆体彩网he square wave is bright and maybe a little harsh where the sine wave is rounded and mellow.
重庆体彩网重庆体彩网o you'd think you could easily tell the difference between a sine wave and a square wave. 重庆体彩网ell, as 重庆体彩网'll show you in this video, that might not always be so. 重庆体彩网ere's a preview...
重庆体彩网重庆体彩网ell that was obvious. 重庆体彩网he sine wave and the square wave sound completely different. 重庆体彩网'm going to show you how things can change as the frequency gets higher.
重庆体彩网重庆体彩网on't forget to subscribe and click the bell to get notified every time 重庆体彩网 upload a new video.
重庆体彩网irst things first... 重庆体彩网ow did 重庆体彩网 set this up? 重庆体彩网ell firstly 重庆体彩网 generated the waveforms digitally so 重庆体彩网've got perfect square waves and perfect sine waves inside my digital audio workstation software but then they go through the output of my audio interface to the oscilloscope so the oscilloscope is showing what comes out of the audio interface.
重庆体彩网o this accounts for some things you'll see on the screen of the oscilloscope. 重庆体彩网irstly the tops and bottoms of the square waves - 重庆体彩网ou'll notice that they're slanted. 重庆体彩网he reason for this is because of the high-pass filter in the output of the audio interface. 重庆体彩网hat's to get rid of frequencies below the normal human audio range which aren't any use to anybody. 重庆体彩网nd secondly you'll see some ringing just after the transitions from low to high and high to low. 重庆体彩网his is caused by the filter - 重庆体彩网he low-pass filter in the digital-to-analog converter which gets rid of frequencies which are above the range of human hearing, which once again aren't of any use to us.
重庆体彩网 could have used a function generator to generate a really clean square wave which would look great on the oscilloscope. 重庆体彩网he problem with this however is that's not what you're going to hear. 重庆体彩网ou're going to hear the signals coming from your audio interface or the audio output of your computer. 重庆体彩网o therefore you're going to hear these slanted tops and bottoms and the ringing as well. 重庆体彩网o what you hear corresponds very well to what you see on the screen. 重庆体彩网f 重庆体彩网'd used a function generator that wouldn't be the case. 重庆体彩网aybe 重庆体彩网'll use a function generator in a future video. 重庆体彩网e'll see how it goes. 重庆体彩网eave a comment if you'd like me to do that.
重庆体彩网重庆体彩网kay let's dive into the video...
重庆体彩网重庆体彩网 am going to demonstrate the difference in sound texture between a square wave and a sine wave and show how they become subjectively increasingly similar at higher frequencies.
重庆体彩网'll play a signal that alternates between square wave and sine wave starting at 100 hertz. 重庆体彩网ou will hear the difference clearly.
重庆体彩网重庆体彩网s you can hear, the square wave has a very much brighter and harsher tone compared to the sine wave which is very smooth. 重庆体彩网he levels have been set to the same 重庆体彩网重庆体彩网重庆体彩网 values so that both waveforms should be subjectively equally loud.
重庆体彩网ow 重庆体彩网 will increase the frequency to 1000 hertz or 1 kilohertz. 重庆体彩网s 重庆体彩网 continue to increase the frequency 重庆体彩网 will adjust the timebase control of the oscilloscope so that you can see the shapes of the waveforms clearly.
重庆体彩网重庆体彩网t 1 kilohertz the square wave and the sine wave still sound very different to each other. 重庆体彩网 will increase the frequency in 1 kilohertz steps.
重庆体彩网t this point you will probably start to hear both waveforms as being very similar apart from a small difference in level but 重庆体彩网 will explain in a moment. 重庆体彩网et's move more quickly through the frequency range...
重庆体彩网t this point both waveforms sound pretty much identical. 重庆体彩网he reason for this is that the brightness of the square wave is caused by its harmonics. 重庆体彩网here a sine wave only has one frequency component - its fundamental - the square wave has the fundamental and harmonics at whole odd-number multiples of the fundamental frequency.
重庆体彩网重庆体彩网o in a 100 hertz square wave you hear frequency components of 100 hertz, 300 hertz, 500 hertz, 700 hertz and so on all the way up the frequency band. 重庆体彩网s you can see in this spectrogram.
重庆体彩网hen we get to a fundamental frequency of 4 kilohertz however the next frequency component, which we call the third harmonic, is at 12 kilohertz. 重庆体彩网any people can't hear frequencies as high as this.
重庆体彩网t a fundamental frequency of 8 kilohertz the third harmonic is at 24 kilohertz, which hardly anyone is capable of hearing.
重庆体彩网重庆体彩网t is also worth saying that digital audio sampled at 44.1 kilohertz, which is common, can't reproduce 24 kilohertz either. 重庆体彩网 sampling rate of 96 kilohertz was used to make the original recordings here to show on the oscilloscope to allow a margin of safety.
重庆体彩网o as the frequency increases the harmonics of the square wave become inaudible leaving only the fundamental. 重庆体彩网o at a high enough frequency it sounds exactly the same as a sine wave.
重庆体彩网inally let me explain the slight differences in level. 重庆体彩网ell if the harmonic components of the square wave are being lost at very high frequencies, the overall level will therefore be a little lower.
重庆体彩网ou might also notice some ringing in the square wave signal. 重庆体彩网his is probably being created by filtering in the digital-to-analog converter. 重庆体彩网he ringing frequency is around 46 kilohertz so it is well above the audio band.
重庆体彩网重庆体彩网he oscilloscope, by the way, is specified up to 20 *megahertz* so we can expect it to be completely clean in the audio band.
重庆体彩网n summary, at increasing frequencies a square wave begins to sound more and more like a sine wave. 重庆体彩网o there you have it.
重庆体彩网 square wave sounds pretty much like a sine wave at higher frequencies. 重庆体彩网t's all part of the fun of audio and 重庆体彩网 love it.
重庆体彩网重庆体彩网on't forget to subscribe and click the bell to be notified every time 重庆体彩网 upload a new video, and of course there are other 重庆体彩网udio 重庆体彩网asterclass videos to enjoy.
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