/diy/ - Do It Yourself

I'm looking for the cheapest frequency generator or combined solution that meets the following.
>bandwidth I'll be using is within low, up to 50KHz
>output must be at least 0.5Vpp
>must have a customizable sweeping function that not only sweeps from start to finish but will keep bouncing until I stop it from low to max frequency with configurable timer and mode linear-logarithmic
As you can see my requirements are nothing out of the ordinary except for the last part. There are tons of noname function generators on chinkshit sites, but none mention whether the sweeping runs and stops or can keep bouncing indefinitely, this is a must for me. So I searched the cheapest generators and found some candidates. I think a DDS generator is my best bet, because I think they can easily be operated and programmed through a separate interface to an arduino or a computer-usb or something like that, that's no issue for me (as long as I don't need an expensive interface device). Though I'm a bit worried DDS generators seem to be targeted for high RF, I guess they don't have a low frequency limit. The standalone DDS modules like the AD9833 seem to be particularly cheap.

What should I do? I'm on an extremely tight budget, 35$ to be exact. I don't want something that is overkill and doesn't even do what I need. For those who have a cheap generator please tell me if that bouncing is something that's included.

Also I put analog xr just because it's cheap, if there's an easy way to do what I want with it I'd like to hear it.