A method for monitoring an electric submersible pump. The method includes acquiring a baseline signature for the electric submersible pump in a first environment, acquiring a downhole signature for the electric submersible pump in a downhole environment while the electric submersible pump is confirmed to be healthy, applying an operator to the baseline signature and the downhole signature that results in a downhole noise component, acquiring a vibration signature for the electric submersible pump in the downhole environment while the electric submersible pump is in an operating mode, removing the downhole noise component from the vibration signature to produce an isolated electric submersible pump signature, and determining a health status of the electric submersible pump based on the isolated electric submersible pump signature.