Since　low-density　parity-check　(LDPC)　codes　have　been　studied　and　adopted　in　the　DVB-S2　standard,　many　efforts　have　been　made　to　improve　their　performance　and　optimize　them　up　to　the　broadcasting　standard.　This　paper　proposes　a　family　of　protograph-based　LDPC　codes　to　provide　a　multi-rate　coding　for　efficient　DVB-S2　systems,　considering　low-complexity　and　excellent　performance　of　the　protograph　codes.　Moreover,　we　employ　Bit　Interleaved　Code　Modulation　Iterative　Decoding　(BICM-ID)　to　enhance　the　performance　of　the　ASK-modulated　DVB　systems.　Both　the　protograph　extrinsic　information　transfer　(PEXIT)　analysis　and　simulation　results　demonstrate　the　performance　advantage　of　the　proposed　protograph-based　LDPC　codes　over　the　conventional　DVB-S2　codes　for　all　the　code　rates.　In　particular,　the　proposed　codes　yield　performance　gains　of　more　than　0.2　dB　as　compared　to　the　conventional　codes　at　high　rates　for　16-APSK　modulations.　©　2021　IEEE.