# Low-Complexity Iterative Receiver for Orthogonal Chirp Division Multiplexing

## TL;DR

This paper introduces a low-complexity iterative receiver for OCDM that achieves near-optimal performance with significantly reduced computational complexity, outperforming OFDM by about 2.5 dB in frame error rate.

## Contribution

It presents a novel low-complexity MMSE-PIC based receiver for OCDM, reducing complexity to two FFTs per iteration while maintaining optimal performance.

## Key findings

- The proposed receiver matches the performance of the original MMSE-PIC.
- OCDM with the new receiver performs close to perfect feedback equalizer.
- OCDM outperforms OFDM by approximately 2.5 dB in FER.

## Abstract

This paper proposes a low-complexity iterative receiver for the recently proposed Orthogonal Chirp Division Multiplexing (OCDM) modulation scheme, where we consider a system under frequency-selective channels and constrained to channel state information availability only at the receiver. It has been shown that under these assumptions, OCDM becomes an optimal waveform in terms of performance, i.e., frame error rate (FER), when employing a receiver capable of achieving perfect feedback equalizer (PFE) performance. Thus, this work targets proposing such a receiver for OCDM with low-complexity. Our approach is based on the well accepted minimum mean squared error with parallel interference cancellation (MMSE-PIC), where we derive an approximated equalizer whose complexity is reduced to two fast Fourier transforms (FFTs) per iteration. The FER results reveal that i) the proposed low-complexity receiver perform as good as the original MMSE-PIC, ii) OCDM performs very closely to PFE, and iii) OCDM has approximately 2.5 dB improvement over OFDM.