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Ambiguity Function Analysis of Affine Frequency Division Multiplexing for Integrated Sensing and Communication
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Ambiguity Function Analysis of Affine Frequency Division Multiplexing for Integrated Sensing and Communication
abstract
Affine frequency division multiplexing (AFDM) is a chirp-based multicarrier waveform that was recently proposed for communication over doubly dispersive channels. Given its chirp nature, AFDM is expected to have superior sensing capabilities compared to orthogonal frequency division multiplexing (OFDM) and is thus a promising candidate for integrated sensing and communication (ISAC) applications. In this paper, we derive a closed-form expression for the ambiguity function of AFDM waveforms modulated with $M$-ary quadrature amplitude modulation (QAM) data symbols. We determine the condition on the chirp rate of the AFDM waveform that minimizes the sidelobes in the delay/range domain in the presence of random $M$-ary QAM symbols, thereby improving overall sensing performance. Additionally, we find an approximate statistical distribution for the magnitude of the derived ambiguity function. Simulation results are presented to evaluate the sensing performance of the AFDM waveform for various system parameters and to compare its peak-to-sidelobe ratio (PSLR) and integrated sidelobe ratio (ISLR) with those of OFDM.
Forward citations
Cited by 5 Pith papers
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ISAC with Affine Frequency Division Multiplexing: An FMCW-Based Signal Processing Perspective
AFDM is made equivalent to FMCW radar through parameter choice, yielding a DD-DAFT input-output model and two pilot-free matched-filter sensing algorithms that trade sensing accuracy against communication overhead and...
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Frame-Based AFDM-ISAC Waveform Design With Chirp-Enabled Pulse Compression
Proposes AFDM-ISAC waveform with chirp subcarrier frame structure, analog chirp-compression receiver, and GCE-BEM-based channel estimation for integrated sensing and communications.
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ISAC with Affine Frequency Division Multiplexing: An FMCW-Based Signal Processing Perspective
With the parameter choice c1 = 1/(2Np), c2 = 0, AFDM subcarriers are mathematically identical to Nyquist-sampled FMCW chirps, so every DAFT index maps to a delay-Doppler coordinate, enabling FMCW-style single-symbol r...
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Low-Complexity Sensing-Aware PAPR Reduction for AFDM-based ISAC Systems
A low-complexity sensing-aware CSR method for AFDM ISAC achieves PAPR reduction and LAZ sidelobe suppression for improved weak-target detection.
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On the Robustness of AFBM Sensing to Power Amplifier Nonlinearities
AFBM sensing performance remains largely insensitive to power amplifier nonlinearities because the modulation matrix structure controls distortion propagation in the ambiguity function.
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