There is provided a frequency converter for suppressing generation of an image signal using a simple adaptive algorithm. In the frequency converter, an orthogonal converter 21 converts an RF/IF signal to a complex signal along with frequency conversion and ADCs quantize the complex signal. An image signal canceller achieves the complex conjugate of the quantized complex signal by inverting the imaginary part of the quantized signal through a multiplier. An LMS core adaptively processes the complex signal using the complex conjugate signal as a reference signal and the output of the image signal canceller as an error signal. The resulting cancellation signals are level-matched in attenuators. Subtracters combine the complex signal with the level-adjusted complex conjugate signal.