During the first half of project IT-JCAS, significant progress has been made on the first two of the three project objectives.
On the first objective (WP1), we studied the logarithmic loss as a performance measure for sensing fidelity in a specific class of channels, and used it to derive notions of sensing capacity and sensing reliability function. While extending this framework to more general channel models remains a main challenge for the next phase, the approach has already attracted interest from other research groups, who have adopted the logarithmic loss measure and investigated it further in related settings.
On the second objective (WP2), we obtained a comprehensive characterisation of the fundamental communication-sensing trade-off for JCAS channels with finite-valued sensing parameters. We extended this to continuous parameters through a new approach based on the Expected Cramér–Rao Bound (ECRB), applicable to multi-antenna (MIMO) wireless channels, where we also identified optimal coding schemes. A key insight emerging from this line of work is the central role of constant-composition and cost-constrained codes in achieving optimal communication-sensing trade-offs.
These foundational results were also applied to practical wireless systems. For OFDM systems, the modulation backbone of 5G networks and a likely candidate for 6G as well, we established the exact trade-off between communication rate and ranging reliability and showed that it is governed entirely by the power allocation across subcarriers. In a related line of work, we studied the same setting under a sidelobe-level constraint on the transmit signal, which reflects a practical requirement in radar sensing. Here we established the structure of the optimal signalling schemes, and proposed a simple strategy based on superposition coding that achieves near-optimal performance. We also developed a sensing-aided beam alignment scheme for millimetre-wave systems, where backscattered signals are used to estimate the direction of arrival and improve communication link quality.
The techniques developed in the project have also produced new results in the related areas of source coding, channel decoding and the theory of guessing.