There is a No Left Turn sign on the LH traffic light array, then the blue Buses Only sign a little way beyond, so correctly signed I suppose, but an advance warning sign would not come amiss. In addition, their photos (from the video), do not show you passing a restriction sign. You could submit this as representations, but be aware that Nottingham are one of the more venal and rapacious councils, and do not re-offer the discount when responding to reps.
Furthermore, the location information is not sufficiently detailed to support the PCN, as "Hockley" is an area of several streets all with different names.
So why, with the signs in place, did you drive into the bus lane ?