Abstract: A complex filter apparatus for correcting a complex valued input television signal Y having the real and the imaginary parts Y.sub.r and Y.sub.i to produce a complex filtered output television signal Z having the real and the imaginary parts Z.sub.r and Z.sub.i comprises: three filters having their respective filter coefficients (C.sub.r +C.sub.i), C.sub.i and Cr; a first adder for producing an output of (Y.sub.r +Y.sub.i); a first subtractor for producing an output of (Y.sub.r -Y.sub.i); a second subtractor for producing an output Y.sub.r (C.sub.r +C.sub.i)-(Y.sub.r +Y.sub.i)C.sub.i as the real part Z.sub.r ; and a third subtractor for generating an output Y.sub.r (C.sub.r +C.sub.i)-(Y.sub.r -Y.sub.i)C.sub.r as the imaginary part Z.sub.i.