Music

Nyquist-Shannon; The Backbone of Digital Sound

Most people don't understand how a digital recording is an exact reproduction of the analog waveform with no distortion.  Nyquist-Shannon says if you sample an audio signal digitally at twice the maximum bandwidth, as defined by the low-pass filter, mathematically the only signal that come out the other end, after going through another low-pass filter is the exact sine wave that went into the recorder. So, the digital sampling, actually can reproduce the exact analog sine wave -- all thanks to math. A Russian scientist invented Nyquist-Shannon in 1933 but it was rediscovered by Nyquist and Shannon in America circa 1964.

Badfinger – No Matter What

"Knock down the old brick wall, and be a part of it all
Nothing to say, nothing to see, nothing to do
If you would give me all, as I would give it to you
Nothing would be, nothing would be, nothing would be"

What Are You Fighting For – YouTube

"Turn on your tv, turn it on so loud
And watch the fool a smiling there and tell me that you're proud
And listen to your radio, the noise it starts to pour
Oh I know you're set for fighting, but what are you fighting for?"

"Read your morning papers, read every single line
And tell me if you can believe that simple world you find
Read every slanted word till your eyes are getting sore
I know you're set for fighting, but what are you fighting for?"

"And listen to your leaders, the ones who won the race
As they stand right there before you and lie into your face
If you ever try to buy them, you know what they stand for
I know you're set for fighting, but what are you fighting for?"

"Put ragged clothes upon your back and sleep upon the ground
And tell police about your rights as they drag you down
And ask them as they lead you to some deserted door
Yes, I know you're set for fightin', but what are you fightin' for?"

"But the hardest thing I'll ask you, if you will only try
Is take your children by their hands and look into their eyes
And there you'll see the answer you should have seen before
If you'll win the wars at home, there'll be no fighting anymore."