In　this　paper,　a　unified　framework,　denoted　as　generalized　nonlinear　detection　(GND),　is　developed　to　encompass　existing　nonlinear　detection　technologies　as　well　as　further　optimize　the　performance　of　nonlinear　detection　for　noncoherent　impulse　radio　(IR)　ultra-wideband　(UWB)　receivers.　Computer　simulations　show　that　independent　of　absence　or　presence　of　narrowband　interferences　(NBIs),　the　GND-based　receivers　can　achieve　much　better　bit-error　rate　(BER)　performance　than　the　energy　detection　(ED)　based　receivers　under　both　AWGN　and　multipath　channels.　Furthermore,　as　compared　to　the　existing　nonlinear　detection　algorithms,　the　GND　algorithm　with　a　well　selected　beta　value　always　has　the　best　BER　performance　and　the　strongest　ability　to　resist　NBIs.