Transformers on tv signals
BALUNS are often used to interface rabbit-ears to the front filters and amplifiers of TVs.
The BALanced-to-UNbalanced transformer likely has wide bandwidth, compared to the antenna.
I've heard simple antennas have about 5% bandwidth (do your own research); 5% will not support either the low_TV nor the hi_TV bands, and certainly will not support the risetimes of a 100 or 200MHz squarewave.
ohhh rabbit-ears? those are independently adjustable halves of a dipole.
Experts would use sheets of aluminum foil, either as reflectors or, capacitively coupled thru the aluminum oxide surface tarnish, as nominally-in-contact element_broadbanding_experiments.