bigshot
Headphoneus Supremus
What is Pickle's nationality? Breed? Is it a mut?
She is a Pomeranian... also known as a German Spitz.
What is Pickle's nationality? Breed? Is it a mut?
Got a picture of a tweeter?
Having passed my masters in digital signal processing with flying colors I respectfully disagree with you and that link. I can easily fit an infinite number of near sine waves into a set of samples at twice its frequency without even introducing the concept of sample phase. Introducing sample phase gives me yet another infinite set of this time absolutely perfect sine waves to choose from. Of course this assumes nobody cares about phase either in addition to amplitude. In fact, as sample phase approaches integer multiples of pi the variety of near-perfect sine waves that fit the samples approaches infinity. What this means is your filter must be dead nuts perfect to even have a chance of reconstructing one of an infinite number of phase shifted sine waves that 'might' be correct but absolutely is not with inverse probability to sample phase.
Sure, mathematically only one wave fits if: 1) sample phase is not a multiple of pi and 2) it is an absolute perfect sine wave and 3) you are assuming perfect brick wall filters with zero phase shift.
Unfortunately none of these conditions even remotely represent a real system in any way. Yours is a straw man argument that I won't argue with anymore... you can make believe whatever you want.
Don't know what you imagine I am imagining, but it appears you are crossed up on it there. Two sine waves of the same frequency will add to a larger or smaller wave of the same frequency depending on the amount out of phase they are. At 180 out it goes to nothing, and at 360 or multiples it is doubled up. If it happens at 22 khz I won't hear it either way.
What parts in the video do you disagree with?
And how is any of the above relevant to 44.1 kHz as Nyquist frequency being adequate for (human... sorry dogs!) audio applications?
Can we elaborate on the term "quality equipment"? I hope there is an understanding that the dynamic range of waveforms shown on analog scopes is nowhere near that of even 16 bits.
There is no doubt in my mind the video is a great introduction into the subject. There are other details at play that requires more in-depth look. Hence, professors in IEEE.
We could. I have pointed to the video, they describe exactly what they are using. So do I need to explain, describe, digest the details and spell them out for you or can you just watch it? I take it by your comments you have not watched it. Comments about the video make more sense when you have seen it.
sorry but this argument is not worth my time...
For more thorough introductory material at an academic level I highly recommend "Discrete-Time Signal Processing" by A. Oppenheim and R. Schafer 3rd edition, in particular Ch 1,2,4. Please review that book prior to posting any arguments about sampling theory and DSP in general on this forum.
Ha! In order to use the English language effectively to communicate, I recommend reading all of Shakespere's works. Please read all of the plays and commit the sonnets to memory prior to posting anything on this forum.
sorry but this argument is not worth my time...
If I understand correctly, the issue at hand is regarding discrete-time sampling rates and the reconstruction of band-limited signals (and finite energy---like all real signals).
Cheers
It's been a little while for me so my math may be a bit rusty and I may need some help with this. If we let x(t)=sin(2π ft), which is a real signal and plug it into the definition for finite total energy of a signal, which is given by:
That doesn't look like E < inf. Anything I am missing?
It's been a little while for me so my math may be a bit rusty and I may need some help with this. If we let x(t)=sin(2π ft), which is a real signal and plug it into the definition for finite total energy of a signal, which is given by:
That doesn't look like E < inf. Anything I am missing?
Quote:
Quote:
I used to work for a well known scope manufacturer. I use higher end versions of this equipment on a regular basis for a living. Are you still certain you'd like to get into the details of it?
As I said before, this is a good introductory material intended for noobs on the topic. For those who have studies this topic academically and/or work in related fields, this video has nothing to offer and in fact does not paint the full picture. Acceptance of this as gospel simply indicates illiteracy on the subject. For more thorough introductory material at an academic level I highly recommend "Discrete-Time Signal Processing" by A. Oppenheim and R. Schafer 3rd edition, in particular Ch 1,2,4. Please review that book prior to posting any arguments about sampling theory and DSP in general on this forum. Until then I have little interest in spending my time reviewing what is already well established knowledge.