A transmitter may receive client data, associated with a client rate, to be mapped to frames associated with a server rate. The transmitter may generate justifications associated with the mapping of the client data to the frames. The transmitter may create, based on the justifications, artificial justifications that include information associated with justifications created to shape phase variations present in a recovered client clock associated with the client rate. The phase variations may be shaped based on the artificial justifications to cause shaped phase variations to be present in the recovered client clock. The shaped phase variations may include phase variations that can be filtered from the recovered client clock. The transmitter may map the client data to the frames based on the artificial justifications to cause the shaped phase variations to be present in the recovered client clock.