Zak-OTFS for Integration of Sensing and Communication
arxiv(2024)
摘要
The Zak-OTFS input/output (I/O) relation is predictable and non-fading when
the delay and Doppler periods are greater than the effective channel delay and
Doppler spreads, a condition which we refer to as the crystallization
condition. The filter taps can simply be read off from the response to a single
Zak-OTFS point (impulse) pulsone waveform, and the I/O relation can be
reconstructed for a sampled system that operates under finite duration and
bandwidth constraints. Predictability opens up the possibility of a model-free
mode of operation. The time-domain realization of a Zak-OTFS point pulsone is a
pulse train modulated by a tone, hence the name, pulsone. The Peak-to-Average
Power Ratio (PAPR) of a pulsone is about 15 dB, and we describe a general
method for constructing a spread pulsone for which the time-domain realization
has a PAPR of about 6dB. We construct the spread pulsone by applying a type of
discrete spreading filter to a Zak-OTFS point pulsone. The self-ambiguity
function of the point pulsone is supported on the period lattice
Λ_p, and by applying a discrete chirp filter, we obtain a spread
pulsone with a self-ambiguity function that is supported on a rotated lattice
Λ^*. We show that if the channel satisfies the crystallization
conditions with respect to Λ^* then the effective DD domain filter
taps can simply be read off from the cross-ambiguity between the channel
response to the spread pulsone and the transmitted spread pulsone. If, in
addition, the channel satisfies the crystallization conditions with respect to
the period lattice Λ_p, then in an OTFS frame consisting of a
spread pilot pulsone and point data pulsones, after cancelling the received
signal corresponding to the spread pulsone, we can recover the channel response
to any data pulsone.
更多查看译文
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要