Rejection of local oscillator alias response is provided in a mixing circuit by (1) a switching mixer producing an output that changes at least twice between two states (e.g., high-low-high or low-high-low) during each local oscillator period, and (2) a charge integrator integrating current output from the switching mixer over the local oscillator period. The switching mixer and charge integrator produce a sampled data format, double sideband signal with serial cancellation of the switching mixer's alias responses. An extension unit connected in series with the switching mixer and charge integrator, and implementing a transform function computing a difference between consecutive samples, produces a cascading effect with the switching mixer and charge integrator, optionally producing additional nulls suppressing alias response at frequencies near the local oscillator frequency. A harmonic gating circuit between the switching mixer and charge integrator, controlled at a multiple of the local oscillator frequency, suppresses harmonic responses of the switching mixer.