# SCW Codes for Optimal CSI-Free Detection in Diffusive Molecular Communications

## TL;DR

This paper introduces strongly constant-weight (SCW) codes for molecular communication that enable optimal detection without requiring channel state information, reducing overhead and maintaining high detection performance.

## Contribution

The paper proposes SCW codes that facilitate CSI-free maximum likelihood detection in molecular communication, a novel approach to reduce CSI acquisition overhead.

## Key findings

- SCW codes enable optimal CSI-free detection.
- Proposed detector outperforms baseline detectors.
- Analytical results match simulation outcomes.

## Abstract

Instantaneous or statistical channel state information (CSI) is needed for most detection schemes developed in the molecular communication (MC) literature. Since the MC channel changes, e.g., due to variations in the velocity of flow, the temperature, or the distance between transmitter and receiver, CSI acquisition has to be conducted repeatedly to keep track of CSI variations. Frequent CSI acquisition may entail a large overhead whereas infrequent CSI acquisition may result in a low CSI estimation quality. To cope with these issues, we design codes which facilitate maximum likelihood sequence detection at the receiver without instantaneous or statistical CSI. In particular, assuming concentration shift keying modulation, we show that a class of codes, referred to as strongly constant-weight (SCW) codes, enables optimal CSI-free sequence detection at the cost of decreasing the data rate. For the proposed SCW codes, we analyze the code rate and the error rate. Simulation results verify our analytical derivations and reveal that the proposed CSI-free detector for SCW codes outperforms the baseline coherent and non-coherent detectors for uncoded transmission.