Zero Sidelobe Aperiodic Codes via Additive-Multiplicative Mismatched Filtering

This paper proposes novel nonlinear mismatched filters for classes of aperiodic codes. They are constructed by combining one or more matched filter outputs additively and multiplicatively. The final output has just the mainlobe and zero sidelobes. The proposed mismatched filters do not widen the mainlobe and incur little additional delay. When combined with subchip encoding, which is proposed in this paper as an alternative to the regular sinusoidal chip, the mainlobe width is reduced. This improves range resolution in radar applications and timing and synchronization precision in communications applications.