Adaptive cancellation of multiple interfering sinusoids

The adaptive sinusoidal interference canceller (ASIC) is a least-mean-square (LMS)-style algorithm for eliminating a sinewave of known frequency from an observed signal. The ASIC is generalised to cancel multiple interfering sinusoids. The performance of the algorithm, particularly when the interference frequencies are not exactly known, is analysed. It is also shown that the ASIC can provide a significant improvement in the signal-to-noise ratio.