A　new　1kb/s　waveform　interpolation　(WI)　speech　coding　algorithm　based　on　non-negative　matrix　factorization　(NW)　is　proposed　and　implemented　in　this　paper.　Multi-frame　parameter　joint　vector　or　matrix　quantization,　parameter　prediction　and　discrete　cosine　transform　(DCT)　are　used　to　reduce　the　bit　rate　and　to　improve　the　quality　of　speech.　The　results　of　informal　subjective　listening　test　shows　that　the　intelligibility　and　articulation　of　the　algorithm　are　close　to　that　of　2kb/s　NMF-based　WI　coder　(called　＂NMF-WI＂　as　convenience).