Blockchain　has　decentralization　characteristics　and　requires　more　targeted　security　schemes　to　protect　user　privacy.　In　contrast,　existing　signature　schemes　have　many　high-complexity　operations　and　impose　an　enormous　computational　burden　on　wireless　nodes.　This　article　proposes　a　light-weighted　identity　privacy　scheme　for　blockchain-based　on　edge　computing.　We　construct　linkable　identity　privacy　and　non-linkable　identity　privacy,　which　can　resist　collusion　attacks　while　virtually　guaranteeing　blockchain　nodes＇　identity　privacy.　Since　edge　computing　offloads　heavily,　the　proposed　scheme　has　lower　computational　complexity　than　the　existing　techniques.