There are several variants of the Samsung Galaxy Note 3 which has been launched in different markets. Although there is at least four different variants in the Chinese market but Samsung seems will soon add another new variant of the Samsung Galaxy Note 3 for Chinese market with TD-LTE network.
There is a picture that posted by Nanchang China Mobile on Weibo, the Samsung Galaxy Note 3 TD-LTE is apparently carrying the model number N9008V. Previously there have been numbered 3 Samsung Galaxy Note N9008 models who also visited China Mobile.
Samsung Galaxy Note 3 N9008 supports TD-SCDMA network, while the Samsung Galaxy Note 3 N9008V compatible with TD-LTE network. As for the support of its own processor, the Samsung Galaxy Note 3 TD-LTE was still the same as support for Qualcomm Snapdragon 800 quad-core processor.
But specifically for Samsung Galaxy Note 3 N9008 user who want to get support for TD-LTE network, they can be done after the software update on the device. But there is no information about the release date.