A data receiving apparatus comprising: a receiving portion for receiving a desired radio wave signal including a desired baseband signal and an interference radio wave signal including an interference baseband signal, the desired radio wave signal and the interference radio wave signal having substantially the same frequency; first weighting circuit for weighting an output of the receiving circuit with a first coefficient adaptively renewed such that the desired baseband signal is reproduced; a subtracting circuit coupled to the first weighting circuit; a first judging circuit coupled to the first subtracting circuit; a second weighting circuit for weighting the baseband signal with a second coefficient adaptively renewed such that the interference baseband signal is reproduced; a second judging circuit coupled to the second weighting circuit; and a supplying circuit for supplying the reproduced interference baseband signal to the subtracting circuit, the subtracting circuit effecting a subtraction between an output of the first weighting circuit and an output of the supplying circuit. Modifications for diversity receiving, delayed component cancelling, receiving timing adjusting are also disclosed.