PA28 pilot reported inadvertently cutting off a regional jet in the traffic pattern of a non-towered airport resulting in a NMAC.

Narrative

I was returning from ZZZ after having work done on the new avionics because they weren't picking up traffic or weather. Before departing; I received flight following. After departing ZZZ; I experienced a sudden and large amount of static in my headphones; so after my initial contact with Control; I asked for a radio check to determine whether the headset or avionics had failed. Control replied they could hear me loud and clear and; while I could hear other pilots; I could not determine the source of the static. I continued to my destination; ZZZ1 and asked to be released from Control approximately 25 miles from ZZZ1. After being released; I monitored the CTAF for ZZZ1 and began making calls at 25; 20; 15; 5; and 3 miles from the airport. I entered the traffic pattern at pattern altitude and at a 45 degree angle to the downwind. I called my entry. I heard other planes in the pattern on CTAF and I continued to monitor the frequency. Right before turning base; I heard a pilot call out what I thought was a '5 mile straight in' final. I did a very quick scan of my Primary Flight Display (PFD) and iphone (both of which have traffic symbols) but was unable to locate any traffic symbols. I immediately looked out my windows and saw nothing; so I determined I had at least 2-3 minutes before the aircraft would be on short final. I called my final turn and turned left to my final approach. Shortly afterward; I heard a regional jet call out that they were going around. Approximately 3 to 5 seconds later; I saw the shadow of the jet on the runway quickly passing over me and then looked up to see the jet passing over me. I estimate it was between 250 and 350 feet above me. I landed and exited the active runway; then apologized to the pilot over the radio. The factors I believe contributed to this situation are; in order of priority; the static I was hearing in my headset; (I assume I misheard the other pilots '5 mile straight in') and the fact that the avionics in the airplane are brand new and so my eyes were not trained to go exactly where they needed to go as I scanned for traffic after his 'final approach' call. I also think that given the situation; (static in the headset and brand new avionics) a safer decision would have been to simply extend my downwind until I located with certainty the other aircraft on my ADS-B.