This paper really looks like sensationalist attention grabbing material, and I'm kind of disappointed to read this in the MIT review without any context or critical analysis.
The synchronization signals in LTE are split in two parts, the PSS (P for Primary) and SSS (S for secondary). Both are using 62 LTE carriers, each one being 15 kHz, so cover 0.93 MHz. For comparison, a 3G channel is 5 MHz and a CDMA channel is 1.25 MHz. 2G is even narrower (memory fails me there...). So not widely different. And not using the whole channel bandwidth in LTE has very nice consequences: the phone doesn't need to know the channel size to synchronize (not the case in WiMAX for example), and the implementation can be lighter and more power efficient.
Then the paper pretends that transmitting a fake PSS would fool LTE devices. Nonsense. Any PSS detection algorithm has plenty of false detection already, and detecting a PSS is nothing until the matching SSS is also detected, with good quality. But then it's not so simple, the jammer don't transmit noise anymore: you have to transmit a true PSS/SSS pair. That won't get you very far, the UE will try this, won't find a matching BCCH and move on.
And did I mention that this part is very robust? A UE can detect a cell well below the noise floor. That's required because in a real network with TD-LTE (and even for FD-LTE in the future) all the cells are synchronized and transmit PSS/SSS at (roughly) the same time. So it is expected that PSS/SSS will be interfered, and the device can deal with this. So you really have to transmit at a strong level to mess things.
But in the end, the point is that any public cellular technology is sensitive to jamming, and jamming is dead easy. To protect against this there are well known techniques used in military applications. But guess what? The whole system because way less efficient in capacity and much more complex. And capacity is key.
Optimizing a public system, where capacity is key, for typically non existing threats is just not practical. Everybody should realize this. If you want robustness to jamming use a military grade system, and pay the price.
Move along, nothing really interesting to see.