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2. Sampling Theorem - Digital Audio Fundamentals 

Akash Murthy
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In this video, we take the first step at the process of converting a continuous signal into a discrete signal for processing within the digital domain, and take a stab at the Nyquist Shannon Sampling Theorem which dictates how often a continuous signal needs to be sampled to accurately recreate it back. There is a lot of misconceptions regarding sample rate and its implications, and this video should hopefully help in clear them up by looking at sampling rates more objectively, or atleast give you a starting point for more exploration.
Find the full playlist here: • Digital Audio Fundamen...
Content:
0:00 Continuous vs discrete signals
2:35 Nyquist Shannon sampling theorem
5:53 Bandlimiting using low pass filter
6:40 Sampling examples in Audacity
12:30 Re-conversion of digital signals to analog signals
16:43 Aliasing artifacts
19:20 Practical sampling rate and outro
Audacity (Free audio editing software) - www.audacityteam.org/download/
References:
Principles of Digital Audio by Ken C. Pohlmann
Analog / digital demonstration with hardware analog equipment - xiph.org/video/vid2.shtml
This video series explains the fundamentals of digital audio, how audio signals are expressed in the digital domain, how they're converted and transformed and the limitations of working with digital signals.
If you've got any questions, suggestions or recommendations, type them out here, or send me a message on any of my social channels mentioned below.
A lot of time was spent on creating this series, and I plan to do more. So please consider subscribing if you wish to be notified about more releases in the future. And if you feel generous: / akashmurthy
Check out the audio track in the intro and outro here: / tinderbox
Check out my music here: farfetchd-official.bandcamp.com/
Give me a shout here:
Facebook - / akash.murthy.319
Instagram - / thrifleganger

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2 июн 2024

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Комментарии : 249   
@user-wc1sr7ci6h
@user-wc1sr7ci6h Месяц назад
this might be the best video explaining those digital signal processing concepts
@guidoschilliger
@guidoschilliger Год назад
I only discovered these videos yesterday and I am simply blown away. Thanks a lot for putting in all this enormous effort to make them, Akash. These are extremely well done and the subjects are excellently explained. Fantastic work! 🙏
@akashmurthy
@akashmurthy Год назад
Thank you so much! I'm glad you found the channel.
@artpinsof5836
@artpinsof5836 3 месяца назад
I also have had my mind blown after discovering these videos "yesterday" (1 year after your comment 😅)
@satellitetech1475
@satellitetech1475 14 дней назад
This shows the depth of your understanding and your willingness to share the knowledge with others. Excellent work 👏👏
@akashmurthy
@akashmurthy 6 дней назад
Thank you so much for your feedback!
@MARISBENMusic
@MARISBENMusic 3 года назад
You are saving my university year!
@akashmurthy
@akashmurthy 3 года назад
Haha..good luck with college!
@lil_works
@lil_works 2 года назад
Saving mine too 🤣
@oscartrillionaire247
@oscartrillionaire247 2 года назад
Man, you are more knowledgeable than the best professors in the world. Your way of explanation is phenomenal. Keep patience mate, you will reach more than a million subs in the next couple of years. Keep making these videos, you are serving humanity in a very very positive way. Thanks a lot
@akashmurthy
@akashmurthy 2 года назад
Thanks a lot for the compliments man! Although, I don't pretend to know it all. All of these videos were researched thoroughly, and I learnt quite a lot while doing that. And yet, there are a few mistakes here and there, that I discovered later. It's a learning process for me, as it is for you! But I really appreciate the positive feedback, and yea, I'll continue to do more.
@mikkokylmanen9296
@mikkokylmanen9296 3 года назад
Wow! I am stunned by the quality of your videos, they are just perfect. I'm new to the topic and this is hands down the best video I've yet seen on it.
@akashmurthy
@akashmurthy 3 года назад
Thanks a lot of checking it out!
@lil_works
@lil_works 3 года назад
You are doing an amazing job man !! This playlist is so helpful 👀👀
@akashmurthy
@akashmurthy 3 года назад
Thanks very much!
@kswindia
@kswindia 3 года назад
These videos are pure Gold Akash! Really well produced and well chalked out. Massive props 🙏🏼
@akashmurthy
@akashmurthy 3 года назад
Thanks a lot! :)
@jasonlabatti7475
@jasonlabatti7475 2 года назад
I second this. Excellent videos! Using these to help my students better visualize the process in my computer science class now. Thanks, Akash! Very well done.
@akashmurthy
@akashmurthy 2 года назад
Thank you Jason! I'm glad you're able to use these in an academic setting!
@akashk961
@akashk961 2 года назад
Congratulations, I can sense your dedication. All the best ahead with your new works! 😎👍🏻
@eglenausedaite9794
@eglenausedaite9794 3 года назад
Awesome, Akash! You speak so clearly and interestingly.
@sumantnemmani4877
@sumantnemmani4877 4 года назад
Amazing video! Love the explanations, the visuals and production overall! Subbed.
@akashmurthy
@akashmurthy 4 года назад
Thanks for checking it out!
@satbun477
@satbun477 2 года назад
the qualities of this video is extraordinary !!, you deserve more subscriber and views thank you so much
@rafilushan1988
@rafilushan1988 2 года назад
That's the best representation of sampling!
@FirmanAsa
@FirmanAsa 2 года назад
The graphs and animations complement your explanation really well!
@akashmurthy
@akashmurthy 2 года назад
Thanks very much!
@manjunathanj9316
@manjunathanj9316 2 года назад
This video is something else... The quality of explanation and animation are so good. Now I can do seminar about this topic without hesitation.
@leploeo7145
@leploeo7145 2 года назад
probably the most underrated series of videos on youtube
@RenatoAkira18
@RenatoAkira18 Месяц назад
This series of videos are simoly amazing! Thank you so much for explaining audio processing that way :)
@akashmurthy
@akashmurthy Месяц назад
Thank you! I'm glad you found these useful!
@Apeskinny
@Apeskinny 3 года назад
Man , that visualisation of aliasing is awesome!!
@akashmurthy
@akashmurthy 3 года назад
Cheers man! There another video in the series, number 4, that talks about aliasing with a bunch more visualizations. Thought that might interest you!
@timoluetk
@timoluetk 2 года назад
This video series is seriously amazing!
@akashmurthy
@akashmurthy 2 года назад
Thanks very much mate!
@agustin2881
@agustin2881 Год назад
its just so nice to find good content in non common topics. thks it helped me.
@akashmurthy
@akashmurthy Год назад
Glad it helped mate!
@srinivasprasanth8703
@srinivasprasanth8703 3 года назад
Your way of explanation is awesome🔥.Thanks for making this video
@akashmurthy
@akashmurthy 3 года назад
You're welcome! Thanks for checking it out..
@DAXBRWNMUSIC
@DAXBRWNMUSIC 8 месяцев назад
these videos are very well explained and put together. thank you!
@akashmurthy
@akashmurthy 7 месяцев назад
Thanks very much!
@UDiAudio
@UDiAudio 3 года назад
Excellent video and presentation.. I can already imagine this channel with 10K subs in few months from now. Good luck.
@akashmurthy
@akashmurthy 3 года назад
Cheers! Thanks for taking the time out to write that!
@SenthilKumar-ib1wu
@SenthilKumar-ib1wu 3 года назад
The process of recording sound stored in the form of thousands of indivdual measurement each at a discrete unit of time called.. very thanks for a super video....
@RitwikKaikini
@RitwikKaikini 4 года назад
Very cool stuff man! loving your tutorials.. Am very glad you have embarked upon this journey.... There's always something new to learn! good stuff.. keep it up! :) cheers
@akashmurthy
@akashmurthy 4 года назад
Thanks man! The plan is to continue deep diving into audio concepts and getting as low level as possible while still being engaging and accessible enough. Thanks for the support, and for checking it out!
@happyBellaXD
@happyBellaXD Год назад
Thank you so much for the series! You made it so clear and easy to understand, just amazing
@akashmurthy
@akashmurthy Год назад
You're welcome! Glad you found the series useful!
@Peaceful-er4vf
@Peaceful-er4vf 21 день назад
Amazing. Absolutely amazing animation and explanation on this concept. Thank you for the fantastic work!
@akashmurthy
@akashmurthy 19 дней назад
Thank you so much for the support! :)
@exxzxxe
@exxzxxe 2 года назад
Really well done! Concise, clear and correct. Thanks.
@akashmurthy
@akashmurthy 2 года назад
Thanks mate!
@workethicrecords5901
@workethicrecords5901 3 года назад
This Channel is amazing, and is filling in a lot of holes made by my DSP professor. Great stuff
@akashmurthy
@akashmurthy 3 года назад
That's high praise! Thanks very much :)
@Apeskinny
@Apeskinny 3 года назад
Love this! And the nod to Monty 😊👌
@carlosa.chacon985
@carlosa.chacon985 3 года назад
I was going to write the exact same thing lol
@user-gw5lc2ks2v
@user-gw5lc2ks2v Год назад
the quality of your vidoes are so good u def deserve more subs
@akashmurthy
@akashmurthy Год назад
Thanks mate!
@tim3.1415
@tim3.1415 10 месяцев назад
Such a high quality video! Thank you for this, such an enrichment for this platform.
@akashmurthy
@akashmurthy 10 месяцев назад
Thanks mate! :)
@amidall
@amidall Год назад
Hey, you make learning so easy for me by making these videos. They are well produced, the tempo is perfect, all the necessary information is included and your lecturing style makes it seem like you go through the thinking process alongside us which really makes understanding all this completely effortless. Great great work!
@akashmurthy
@akashmurthy Год назад
Thank you very much! I'm glad to hear you like the style of the videos. It was an intentional choice to go through all the common questions that I had when learning these concepts and answering them.
@amidall
@amidall Год назад
@@akashmurthy could you do a series on acoustics?
@akashmurthy
@akashmurthy Год назад
@@amidall any particular topics in acoustics?
@mouhamadalmounayar2199
@mouhamadalmounayar2199 2 месяца назад
I cannot express how much I love this video
@akashmurthy
@akashmurthy 2 месяца назад
Aww, thanks very much!
@Rene_Christensen
@Rene_Christensen 3 года назад
Small mistake at @4.20 as it is 1/s not 1/s^-1. But this is one of the best videos on this topic.
@akashmurthy
@akashmurthy 3 года назад
Great spot! Thanks..I cringe at this mistake whenever I watch it back.
@Rene_Christensen
@Rene_Christensen 3 года назад
@@akashmurthy Don’t sweat it. It is impossible to make a video without small mistakes and it does not detract from your great information. Watching your dither videos now.
@musicgpaul
@musicgpaul 2 года назад
Thank you so much for these lectures!!
@MM-ry4ki
@MM-ry4ki 2 года назад
Since my knowing of this theorem, I have always tried to understand this.This video really makes me to understand.Thanks.
@akashmurthy
@akashmurthy 2 года назад
Glad it helped you out!
@Yogachara
@Yogachara Год назад
Excellent presentation. Your videos are so freaking good
@akashmurthy
@akashmurthy Год назад
Thanks a lot mate! :)
@SAJAN_ECE
@SAJAN_ECE 2 года назад
Amazing video! Thanks for the efforts.
@fahadzhossain
@fahadzhossain Год назад
Bro you are just awesome. Your animation and the fluency of describing is mind blowing. Love to watch your videos. Keep it up brother.
@akashmurthy
@akashmurthy Год назад
Thanks very much mate!
@danielolmos5484
@danielolmos5484 Год назад
Great quality video, super helpful! Thank you
@akashmurthy
@akashmurthy Год назад
Cheers mate!
@huyhuynhquang3004
@huyhuynhquang3004 7 месяцев назад
Love your effort and time you put in one video, it just phenomenal, i learn a lot from it. Thank you so much
@akashmurthy
@akashmurthy 7 месяцев назад
Thanks so much!
@AyonAbeywickrama
@AyonAbeywickrama 2 года назад
Thank you for the content dude love em! This is truly valuable!
@wilmercohen3764
@wilmercohen3764 2 года назад
I always sample at speeds well above that established by the theorem, since that way I can dispense with the design of very high-order filters that resemble ideal filters as much as possible, and use low-order filters... although of course this implies that electronic devices must also be able to handle such high frequencies. A very educational video
@FreedomForKashmir
@FreedomForKashmir Год назад
This is super high quality precious content ... made with effort and commitment. No only his theoretical concepts are clear but also way of transforming them and explaining them is very good Much appreciated
@akashmurthy
@akashmurthy Год назад
Thanks very much mate! :)
@ptsdon
@ptsdon Год назад
Akash isn't a good explainer. He is a GREAT explainer. I am very impressed!!😊
@akashmurthy
@akashmurthy Год назад
Thank you kind sir!
@Shanmuga
@Shanmuga 8 месяцев назад
Incredible stuff!
@Peaceful-er4vf
@Peaceful-er4vf 21 день назад
Amazing work!
@varunvenu88
@varunvenu88 4 года назад
Amazing experience!! the engineering nyquist theorem is enlightening!
@akashmurthy
@akashmurthy 4 года назад
Hey I'm glad you found it useful!
@MrSouzy
@MrSouzy 3 года назад
many thanks for the video. When you said that it was a mathematically unique solution combined with the graphic it clicked in my head because I realized even before you said it that only one wave form at a certain frequency form could pass through all of the points at that same time. Really interesting !
@akashmurthy
@akashmurthy 3 года назад
Great! I'm glad the graphics were useful.
@danieliniguezv
@danieliniguezv 2 года назад
my God! your work is simply amazing. thank you so much!!!
@akashmurthy
@akashmurthy 2 года назад
Thanks so much man! :)
@davidasher22
@davidasher22 2 года назад
Akash, you are in my brain right now!
@akashmurthy
@akashmurthy 2 года назад
Sorry to intrude 😅
@kreczu77
@kreczu77 8 месяцев назад
This is where the maths and physics are NOT boring. Your explanation is genius Akash. Thank you
@akashmurthy
@akashmurthy 8 месяцев назад
Thanks so much mate!
@Isabellaa-ms5dk
@Isabellaa-ms5dk 8 месяцев назад
your videos are amazing.
@CULTUM_d
@CULTUM_d 3 года назад
RESPECT for the top quality videos 🧠 way better than most uni lectures
@akashmurthy
@akashmurthy 3 года назад
Cheers mate!
@thedarklordofcats339
@thedarklordofcats339 2 года назад
A god amongst men. Thank you for representing concepts in easy to digest youtube videos! Reading university books is so draining by comparison lol
@akashmurthy
@akashmurthy 2 года назад
T'is but a man, but a man with time. Thanks mate, glad you found it useful!
@ishykashy
@ishykashy 2 года назад
You are an amazing teacher. Thank you!
@akashmurthy
@akashmurthy 2 года назад
Thanks a lot mate!
@stefansoaremusic2699
@stefansoaremusic2699 6 месяцев назад
Awesome video mate thanks for the great work❤
@akashmurthy
@akashmurthy 6 месяцев назад
Cheers mate!
@NISSIHYPERCORP
@NISSIHYPERCORP 2 года назад
I love the way you explain it 💖 The way you work on each topic which seems complex You are incredible The graphics and voice are really making it a pleasant learning of joy Please dont stop 👍 I love the way you put real life into dumb equations .
@akashmurthy
@akashmurthy 2 года назад
Thanks a mil for all the kindness!
@Time-cc2qb
@Time-cc2qb Год назад
These are amazing man
@akashmurthy
@akashmurthy Год назад
Thanks a lot man!
@jwfarknar
@jwfarknar 3 года назад
Love the well constructed animation content along with excellent spoken explanations. I can almost just listen or just watch and still get 90% of the meaning. In addition to your good ear, you also have a good visual design eye :) What software tools are in your video content creation editing toolkit?
@akashmurthy
@akashmurthy 3 года назад
Thanks mate! I'm glad you find the content understandable! Yea, I really wanted to bring the visual element out as much as possible, not just functionally, but aesthetically as well. I use Adobe After Effects for the motion graphics and video editing, that's the only tool I use. And I use Reaper for audio.
@jwfarknar
@jwfarknar 3 года назад
@@akashmurthy Fast reply and right to the point! Thanks :)
@CannedMan
@CannedMan 2 года назад
Beating is what is used for tuning pipe organs. The pipes called principals have the least amount of tuning degradation over time, so to tune the other voices, you pull the principal plus the desired voice, then listen to the beating; tuning the desired voice is then done by miniscule adjustments of that voice until the beating stops.
@salvageddoor
@salvageddoor 2 года назад
Amazing video, so informative
@akashmurthy
@akashmurthy 2 года назад
Thanks mate!
@aashman
@aashman Год назад
Congratulations Akash...The kind of quality it contains surprised me....Initially, I thought it was done by some American guy...
@Dnlrmrez
@Dnlrmrez Год назад
Bro your videos are so well done thank you
@akashmurthy
@akashmurthy Год назад
Thanks bro! :)
@mekishethio8738
@mekishethio8738 2 года назад
I love this video a lot. Thank you. God bless you
@akashmurthy
@akashmurthy 2 года назад
You're welcome! :)
@YandereEnthusiast
@YandereEnthusiast Год назад
Thanks a lot man, this video was really helpful!
@akashmurthy
@akashmurthy Год назад
Thanks for letting me know!
@baleeghal-baitar
@baleeghal-baitar 3 месяца назад
Thank you from the bottom of my heart,now I understand the sampling theory. I’ve been attending the lectures and the doctor keeps talking about it and never understand what he says 😅
@akashmurthy
@akashmurthy 3 месяца назад
Haha, that's awesome! It's quite simple, once you get a hang of it..
@aathifahamed547
@aathifahamed547 2 года назад
actually this is so awesome... god bless you.........
@ramseybolton1509
@ramseybolton1509 2 года назад
6:22 I realized few seconds later its you voice! Graphics : 100/100
@akashmurthy
@akashmurthy 2 года назад
Yea! It was quite easy to do, but thanks for noticing!
@DankBurrito420
@DankBurrito420 3 месяца назад
Hey Akash! I recently found your videos and they are a blessing. I'm an Audio Engineer and Comm. Studies (with emphasis in Film & Media) major, that has been working in professional A/V for the last 5 years now. This series is helping me study for CTS, and just overall knowledge refresher. Thank you!
@akashmurthy
@akashmurthy 3 месяца назад
That's awesome to hear, thanks for sharing!
@paolopasqua14
@paolopasqua14 Год назад
awesome! Thank you for your job.
@gustavoalvarez6637
@gustavoalvarez6637 2 года назад
Excellent video!
@akashmurthy
@akashmurthy 2 года назад
Thank you! :)
@BorisNienke
@BorisNienke 3 года назад
first i was about to draw some panels to illustrate the Sample-Rates and what it means to higher frequencies. Then i thought, i should first look if someone already did it so that i could simply share a link. THEN i found THIS one and learned more details on something i though i already knew :D - Thank you!
@akashmurthy
@akashmurthy 3 года назад
Glad you found it helpful, thanks!
@piyushparashar8990
@piyushparashar8990 2 года назад
Very nice video! Thank you very much. Questions to you - why do we need band limiting when the original signal in Audacity is to be created for 3.999KHz ? Where will the high frequencies come from which are to be band limited? And if there are higher frequencies, wouldn't we need to sample w.r.t that value (Fmax will change)? Thanks again.
@aftofono
@aftofono Год назад
such a shame I didn't discover this earlier, very well explained, very well produced, thank you!!!
@akashmurthy
@akashmurthy Год назад
I'm glad you discovered it now!
@leploeo7145
@leploeo7145 2 года назад
thanks for this amazing content
@rainyafternoons7003
@rainyafternoons7003 2 года назад
thanks so much! all of this very much applies to sdrs and radio so it is really helpful for me!
@akashmurthy
@akashmurthy 2 года назад
Thanks mate! I'm glad it's helpful to you in your domain! First time I heard of SDR today!
@rakshithvshetty1551
@rakshithvshetty1551 3 года назад
hey man loved this video
@irethoronar34
@irethoronar34 2 года назад
Crystal clear.
@suttikorntocharoenniwatsai9447
@suttikorntocharoenniwatsai9447 3 года назад
A great video and explanation. But I'm confusing some points that you explained. @17:07 about the extra high-frequency content. Why it has an extra high-frequency content even if the generator produced the pure single signal at 3.9kHz?
@SLigHtOfView
@SLigHtOfView Год назад
Great vid made a very complicated subject a bit easier to grasp, still got a lot to learn lol
@akashmurthy
@akashmurthy Год назад
Cheers mate! Always a lot to learn I'm afraid..
@blackseastorm61
@blackseastorm61 2 года назад
came here from signals-systems & DSP courses, because of stucking in sampling and continuous-discrete conversion. I have to say that, this video is quite good at explaining the subject intuitively and visually. It can be said that you are showing both whole and the pieces of the topic, this is a good approach to explain it. Sampling-Discretization-Periodization-Modulation, these topics needs to be explained well. I have still problems on understanding the CT to DT conversion, how this conversion occurs mathematically ? I mean, how to transform continuous time x(t) to sequence x[n] , mathematically? what is the operator that converts ""impulse(t) >> to impulse[n] with amplitude of 1"" or ""x(t) . p(t) impulse train >> to x[n] as a sequence"" x(t) . p(t) could be represented as = summation the series of x(nT) . impulse ( t - nT ) But this is still not equal to a sequence of x[n] , because it contains scaled impulses with amplitude of infinity, right? Therefore I am trying to understand what actually this conversion and this impulse are. What is the title of topic/video that covers this point? Thank you for helping.
@senmonkashonen5875
@senmonkashonen5875 Год назад
thanks a lot, keep up the good work.
@akashmurthy
@akashmurthy Год назад
Thanks for checking it out..
@lordpatil7716
@lordpatil7716 3 года назад
You have a new Sub!
@suyashramteke3588
@suyashramteke3588 5 месяцев назад
Simply Genius!!
@tombrooks5118
@tombrooks5118 Год назад
Wow, I came to your site to learn PCM which you will cover in part 9 or 10 and here as a bonus you have covered the free DAW software Audacity which as a beginner hobbyist, I actually want to learn to use with my music keyboard and computer. You showed us amazing things Audacity can do much better than sites dedicated to Audacity have shown me. Its like an Oscope and a spectrum analyzer. I want to watch all of your videos.
@akashmurthy
@akashmurthy Год назад
Audacity is a powerful software for sure! All the best with your learning.
@carlosa.chacon985
@carlosa.chacon985 3 года назад
Montyyy! Awesome Channel man!!
@akashmurthy
@akashmurthy 3 года назад
Cheers man! Yea, xiph.org is great!
@gherbent
@gherbent Год назад
All good, apart from two things. 1. Is really difficult to band limit a signal with such a steep filter. I am talking abut recording real audio signal , not a generated one, and encoding to CD digital format. 2. The theorem works, and is true to identify only sinusoidal signal long enough in time, and constant in frequency and amplitude. In case we approaching the upper limit of the band , and the pulse is short we may not have enough iterations to correctly identify a signal. Example is; the occurrence of one single wave in 19KHz band recorded with a CD standard 44.1KS/s. The real audio consists at most of fading impulses, rather than long in time and continuous in amplitude sinewaves, that is why I consider the CD format to be lossy and a higher sample rate well be beneficial, 48 or 96KS/s. The reconstruction of impulses by DACs is often an approximation.
@__.daimon.__
@__.daimon.__ Год назад
Excellent content. Great teaching. I'm curious as to where you studied & learned about this subject. Do you have recommendations for further study resources? Thanks for your work!
@akashmurthy
@akashmurthy Год назад
Thanks mate! I studied a master course on Audio Technology. But most of the videos from this series was developed through self study. The best resource that I found on these subjects was a book called Principles of Digital Audio by Ken Pohlmann. It's very dense and a bit difficult to understand at times, but it's a good resource.
@__.daimon.__
@__.daimon.__ Год назад
@@akashmurthy - Much appreciated! As others have said, you deserve a larger audience. The quality of work you've produced here is excellent. I'd like to learn more about DSP - & beyond that, about developing plugins with JUCE. I'll look-up the book recommendation... - thanks Akash.
@asad5986
@asad5986 Год назад
Very well done! Subscribed. Clearly, a lot of effort was put into this video. I was wondering if you have taken the fundamentals of engineering exam(I think you probably haven't since the FE exam is a US thing and you are based in Ireland according to your about page). If you have happened to take, could you make videos on those topics? You really do a good job explaining. I didn't get everything in this video, but a lot of the information I did process.
@akashmurthy
@akashmurthy Год назад
Thanks! As you deduced, I haven't taken that exam. I do, however, have a masters degree in Music Technology. The topics might just be the same. But it's really difficult to talk about broad topics. I just produce videos of what I'm good at, and what I'm interested in researching. I want to cover more topics, but I find the whole process takes too much time, and I just don't have a lot of it to spare.
@asad5986
@asad5986 Год назад
@@akashmurthy Fair Enough. Thanks for letting me know! Best of luck with your channel in the future!
@rollyverma8958
@rollyverma8958 Год назад
You are gems
@johndoe-xf2ih
@johndoe-xf2ih 9 месяцев назад
Thank you so much for this tutorial man, I have a kinda stupid question, if the sine wave is a single frequency with no harmonics and is already band limited , why did the 3999 frequency cause aliasing when the sample rate was 8000 Hz when we dont even need a band limiter for this sine wave, is it because it was digital to analog?, because it was produced digitally so it would have an intermediate stage with high frequncies? , and if it was analog to digital would it still cause aliasing ? Again, sorry if its a stupid question but its been bugging me
@amarmohanta2516
@amarmohanta2516 2 года назад
Thanks sir🥳
@sahandahmadzadeh5683
@sahandahmadzadeh5683 2 года назад
thank you very much, you explained the concept very simple. perfect. and a question, how do you create your visualization parts? Is there any specific software you are using, I need to visualize my presentation, so your answer can be very helpful for me.
@akashmurthy
@akashmurthy 2 года назад
Thanks mate! I use Adobe After Effects for the animations
@howtoengineering257
@howtoengineering257 2 года назад
really super video ....but which software are u using for these animations ??
@akashmurthy
@akashmurthy 2 года назад
Thanks! I use Adobe After Effects for most of the animations. For some, I use Processing
@fawzial-tawil1643
@fawzial-tawil1643 2 года назад
you know, your agreat thx for every thing
@abhijithas9976
@abhijithas9976 2 года назад
Thankyou sir
@puspamadak
@puspamadak 2 года назад
Nice explanation! I have a question: If the filter would always smooth out the intermediate wave into a form of sine wave, how can we represent waveforms which are not sine waves? For example, what if we want the actual waveform to be a square wave which is just like the intermediate wave with no filtering?
@akashmurthy
@akashmurthy 2 года назад
Cheers! So, I've kept the illustrations simple and used sine wave here to represent the highest frequency that's getting retained from the filter smoothing out. Ideally, any rich complex sound can be decomposed into a set of sine waves. All observable sounds can be recreated by adding different sine waves of different frequency, amp and phase together. They are literally the building blocks of audio. You can think about a low pass filter as cutting off or "smoothing" beyond a certain frequency, any frequencies below that will not be affected. The same with square waves in your example. A square wave is just a harmonic combination of sine waves. If you apply a filter, you are cutting of frequencies above the threshold, but the frequencies below the threshold are untouched, so you still end up retaining all but the highest frequency components of the square wave. I'd suggest watching the video on Aliasing to understand this better.
@puspamadak
@puspamadak 2 года назад
@@akashmurthy Thanks a lot sir, for clarifying my doubt.
@danieldeychakiwsky1928
@danieldeychakiwsky1928 3 года назад
Great videos! Oddly though, while I can generate a 3999 Hz pure sine tone at an 8000 Hz sampling rate using Audacity, I'm unable to hear it when I play it back. I get the same time-domain pattern you do (~9:30 mins in). When I drop the pure town down to say 3800 Hz, I can hear it when I play it. Any ideas?
@akashmurthy
@akashmurthy 3 года назад
Cheers! I have little ideas I'm afraid. Could be different versions of Audacity? I'm running 2.4.2
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