A baseband-controlled passband equalizing arrangement comprises a passband correction circuit for the data signals transmitted by modulating a carrier frequency, a first demodulation circuit which cooperates with a carrier recovery circuit for converting these carrier-modulated data signals into baseband signals, and a control circuit acting on the variable elements provided in the passband correction circuit in response to an estimated error of the baseband signals. The passband correction circuit produces a passband output signal v(t), which is a continuous function of the time t, in response to a passband input signal x(t), which is a continuous function of the time t, in accordance with the relation: ##EQU1## where r.sub.m, .psi..sub.m, .rho..sub.j, .phi..sub.j are variable elements, and .tau..sub.j, .tau..sub.m are fixed delays and M, N are constants.