A variable-bandwidth frequency-division multiplex communication system which needs no interpolation circuits, but uses switch element of simple structure. The system includes a signal combining circuit which has N A/D converters associated respectively with independent information signals to be transmitted, a complex local oscillator for generating complex signals each having a frequency k.DELTA.f (1.ltoreq.k.ltoreq.N-1), .DELTA.f being the channel frequency interval, N complex multipliers for multiplying the outputs of the A/D converters by the respective complex signals, and producing N output signals, a circuit for effecting an inverse Fourier transform of N points, an N.times.N switch circuit connected between the outputs of the complex multipliers and input terminals of the inverse Fourier transform circuit, N digital subfilters connected respectively to the outputs of the inverse Fourier transform circuit, N delay units connected respectively to outputs of the digital subfilters, and an adder for adding output signals from the delay units and outputting a sum signal.