[smart (OP)]

I'm basically new to physics and i'm interested in spectral redshift waveforms in the gamma range. In specific, I have no idea what is a high redshift Gamma-Ray Burst (GRB). Is the gamma waveform having a different redshift parameter than others phase-dependent waveforms like alpha and beta? 

What do you think?

[evan_au]

You could start here: https://en.wikipedia.org/wiki/Gamma-ray_burst
There are many useful hyperlinks to follow.

Gamma Ray Bursts are still somewhat mysterious, and probably originate from a variety of high-energy events in space like supernovas or neutron star collisions.

The high red shift refers to events which are far away in the universe, and are travelling away from us at a high velocity. The fact that these events are detectable at such large distances points to the extremely high energies involved.
See: https://en.wikipedia.org/wiki/Redshift#Expansion_of_space