The application discloses embodiments of methods and/or systems for compensating a transmission carrier leakage of an up-conversion mixer, a tranceiving circuit or apparatus embodying the same. One embodiment of a method can include detecting an I channel DC offset DCI0 and a Q channel DC offset DCQ0 generated by a reception carrier leakage from an output of a down-conversion mixer, detecting an I channel DC offset DCI and a Q channel DC offset DCQ from the output of the down-conversion mixer while varying a compensation parameter being inputted to an up-conversion mixer that has its output coupled to an input of the down-conversion mixer to determine the compensation parameter that can reduce or minimize a transmission carrier leakage. A combination of a transmission baseband signal and the determined compensation parameter can be transmitted using the up-conversion mixer and an antenna to compensate for the transmission carrier leakage.