This　paper　is　focused　on　the　model　of　waveform　interpolation　(WI)　and　its　parameters　quantization,　then　a　waveform　interpolation　speech　coding　algorithm　based　on　two-dimensional　nonnegative　matrix　factorization　at　1　kb/s　is　presented.　This　method　makes　the　dimensions　of　CW　magnitude　matrix　much　lower　in　columns　and　rows,　so　it　is　convenient　for　quantizing　the　coding　matrix.　In　addition,　speech　coders　at　very　low　bit　rates　can　hardly　get　good　performance,　for　there　are　no　sufficient　bits　to　express　these　coding　parameters.　Then　two-frame　joint,　inter-frame　backward　prediction　three-stage　vector　quantization,　discrete　cosine　transform　(DCT)　and　split　matrix　quantization　techniques　are　promoted　in　this　paper,　in　order　to　reduce　the　speech　coding　bit　rates　as　well　as　to　improve　the　quality　of　the　speech.　The　results　of　informal　subjective　listening　test　show　that　the　performance　of　1　kb/s　2DNMF-WI　coder　is　a　little　worse　than　that　of　2　kb/s　NMF-WI　coder.