We　propose　and　investigate　a　precoding-aided　spatial　modulation　(PSM)　scheme,　which　can　simultaneously　achieve　transmit　and　receive　diversity　and,　hence,　is　referred　to　as　the　TRD-PSM　scheme.　In　TRD-PSM　systems,　information　is　transmitted　jointly　using　an　amplitude-phase　modulation　and　a　receive-antenna-based　space-shift　keying　modulation.　We　consider　two　types　of　linear　precoders,　namely　transmitter　zero　forcing　(TZF)　and　transmitter　minimum　mean　square　error　(TMMSE),　so　as　to　facilitate　low-complexity　signal　detection.　In　order　to　satisfy　the　different　requirement　for　complexity　and　reliability,　we　introduce/propose　a　range　of　detection　algorithms,　which　include　a　joint　maximum　likelihood　detector　(JMLD),　a　simplified　JMLD,　a　successive　maximum　likelihood　detector　(SMLD),　a　simplified　SMLD,　and　a　ratio-threshold-test-assisted　maximum　likelihood　detector.　We　address　the　principles,　characteristics,　complexity,　and　performance　of　these　detection　algorithms.　Furthermore,　we　analyze　the　average　bit　error　probability　of　the　TZF-　and　TMMSE-assisted　TRD-PSM　systems　employing,　respectively,　the　JMLD　and　the　simplified　JMLDand　at　both　small　and　large　scales.　Finally,　numerical　and　simulation　results　are　provided　to　demonstrate　and　compare　the　achievable　performance　of　TRD-PSM　systems　employing　various　precoding　and　detection　algorithms,　as　well　as　to　validate　the　formulas　derived.