As　the　temperature　difference　exists　between　the　inner　and　outer　conductors　of　high　voltage　DC　cables　in　practice,　it　is　important　to　study　space　charge　behavior　under　temperature　gradient.　However,　due　to　the　effect　of　temperature　on　the　acoustic　propagation,　it　is　necessary　to　study　the　waveform　recovery　method　in　pulsed　electroacoustic　(PEA)　measurement.　In　our　previous　study,　only　the　effects　of　temperature　on　acoustic　velocity　and　attenuation　were　considered　in　the　waveform　recovery.　As　the　density　of　material　will　not　be　continuously　uniform　under　a　temperature　gradient,　the　dispersion　of　acoustic　waves　due　to　the　change　of　acoustic　resistance　should　be　also　taken　into　consideration.　In　this　report,　the　characteristics　of　acoustic　propagation　under　temperature　gradient　are　discussed,　and　a　new　algorithm　for　waveform　recovery　is　put　forward,　and　the　distortion　of　the　waveform　can　be　successfully　suppressed.