Electronic – Peculiar noise when observing a square wave

function generatoroscilloscopesquarewave

I'm using the following function generator: http://www.farnell.com/datasheets/499058.pdf?_ga=1.129729036.1263433037.1467971694 and a Tektronix TDS 1002B scope for some measurments.
Most of the time I use the function generator's square wave output(at %50 duty-cycle) as an input to a circuit.

The issue is that I see a lightning-like random flickering noise when I observe the rising or falling edges of the squarewave above 200Hz.
It is hard to describe what I see so I uploaded a very short record of the scope screen.
Here is how it looks like:
https://youtu.be/hOy5-SOk2mg

I would like to describe the setup briefly to elimitae some possible causes.
To observe the signal from the function generator, I first hook up the function generator's squarewave output to the scope's channel (I also use a 50ohm terminator to eliminate ringing).
Below is how the BNC is connected to 50ohm output of the function generator:

enter image description here

And here below is how BNC is connected to the scope channel(If I don't use 50ohm terminator I still have the noise plus ringing):

enter image description here

I first thought the noise could be coming from the scope itself so I hooked up the scope probe to its own builtin 1kHz output. But the edges were very clean without any weird interference.
I also tried the setup with different BNC coax cables and still having the same issue. I also don't observe this noise on the scope screen only if the function generator's output is set below 200Hz.

Do you have any idea what could be the issue here? And could it be fixed with a different setup.

Edit:

Below is a photo from the scope screen. I had to take tens of photos to catch when the noise hits. Below when the noise strikes:

enter image description here

As I wrote this happens randomly all of a sudden. So the noise is not continuously there that was the reason why I had uploaded a video.

Another clearer photo when the noise appears:

enter image description here

Edit 2:

Some new observations:

1-) I used 2-prong power plugs and the issue still existed. So it is not related to ground loops

2-) I cannot sample fast enough 10ns signals with my DAQ device

3-) If I use 20MHz bandwidth instead of 60MHz in settings the noise becomes better

4-) Noise only exists for the square wave output not for sinusidal or triangle

And I guess the most important observation is the following:

When I set the function generator main output's Vpp anything less than
2V the noise disappears totally. And I hear a 'tick' sound the momemnt
Vpp is adjusted below 2V (a tick sound similar to when you hear in CC
limiting in a power supply). There is obviously some relation with
function generator's pulse output amplitude but have no idea what it
could be. But under 2Vpp if I play with duty cycle noise appears again for different duty cycles..

Best Answer

This would not be an answer, but reading through question and comment stream I have a suggestion: reach generator's manufacturer, and report the problem. This way they would be able to know about your issue, prove or disprove it. There're could be other people who may suffer from the same issue, everyone will thank you for reporting. Additionally, you will be able to test manufacturer's support to see and feel if you still want to use their products :)

One more quick thought: coaxial cables and probes may have attenuation switch in them, and you can change their bandwidth. Did you play with it? What I see on your "clearer photo" looks very familiar... kind of impedance mismatch with (rising or falling) edge shooting back into the wire.