  In this work, we propose a waveform based on Modulation on
Conjugate-reciprocal Zeros (MOCZ) originally proposed for short-packet
communications in [1], as a new Integrated Sensing and Communication (ISAC)
waveform. Having previously established the key advantages of MOCZ for
noncoherent and sporadic communication, here we leverage the optimal
auto-correlation property of Binary MOCZ (BMOCZ) for sensing applications. Due
to this property, which eliminates the need for separate communication and
radar-centric waveforms, we propose a new frame structure for ISAC, where pilot
sequences and preambles become obsolete and are completely removed from the
frame. As a result, the data rate can be significantly improved. Aimed at
(hardware-) cost-effective radar-sensing applications, we consider a Hybrid
Digital-Analog (HDA) beamforming architecture for data transmission and radar
sensing. We demonstrate via extensive simulations, that a communication data
rate, significantly higher than existing standards can be achieved, while
simultaneously achieving sensing performance comparable to state-of-the-art
sensing systems.
