Based　on　the　idea　of　optimal　time-frequency　analysis　(TFA)　theory,　a　time-frequency　post-processing　method　called　horizontal　rearrangement　frequency　domain　chirplet　transform　(HRFCT)　is　proposed.　The　proposed　method　is　designed　to　analyze　non-stationary　transient　signals　with　nonlinear　group　delay　(GD),　aiming　at　obtaining　energy-concentrated　and　accurate　time-frequency　representation　(TFR).　First,　based　on　the　image　characteristics　of　the　constructed　amplitude　function,　the　selection　criteria　of　GD　are　defined,　that　is,　the　local　maximum　of　amplitude　function　and　the　local　minimum　of　absolute　value　of　derivative　of　amplitude　function　are　calculated.　Next,　according　to　the　calculated　GD,　the　coefficients　on　the　GD　trajectory　are　adaptively　extracted,　and　the　coefficients　that　cause　the　TFR　to　be　blurred　are　discarded.　Finally,　the　analysis　result　of　a　two-component　simulation　signal　demonstrates　the　satisfactory　performance　of　the　HRFCT,　and　compared　with　four　advanced　TFA　methods,　the　competitiveness　of　the　HRFCT　is　verified.　Additionally,　the　application　of　the　HRFCT　in　the　processing　of　constant　and　variable　speed　bearing　signals　highlights　its　prospects　in　transient　signal　analysis　and　rotating　machinery　condition　monitoring.