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An invitation to hypercomplex phase retrieval: Theory and applications [hypercomplex signal and image processing]
R Jacome, KV Mishra, BM Sadler… - IEEE Signal Processing …, 2024 - ieeexplore.ieee.org
Hypercomplex signal processing (HSP) provides state-of-the-art tools to handle
multidimensional signals by harnessing the intrinsic correlation of the signal dimensions …
multidimensional signals by harnessing the intrinsic correlation of the signal dimensions …
Phase retrieval for radar waveform design
S Pinilla, KV Mishra, BM Sadler… - … and Inference: A …, 2024 - academic.oup.com
The ability of a radar to discriminate in both range and Doppler velocity is completely
characterized by the ambiguity function (AF) of its transmit waveform. Mathematically, it is …
characterized by the ambiguity function (AF) of its transmit waveform. Mathematically, it is …
Octonion phase retrieval
Signal processing over hypercomplex numbers arises in many optical imaging applications.
In particular, spectral image or color stereo data are often processed using octonion algebra …
In particular, spectral image or color stereo data are often processed using octonion algebra …
WaveMax: FrFT-based convex phase retrieval for radar waveform design
We consider the recovery of a complex band-limited radar waveform from the magnitude of
the fractional Fourier transform (FrFT) formulation of its ambiguity function (AF). This is …
the fractional Fourier transform (FrFT) formulation of its ambiguity function (AF). This is …
Group-theoretic wideband radar waveform design
We investigate the theory of affine groups in the context of designing radar waveforms that
obey the desired wideband ambiguity function (WAF). The WAF is obtained by correlating …
obey the desired wideband ambiguity function (WAF). The WAF is obtained by correlating …
WaveMax: Radar Waveform Design via Convex Maximization of FrFT Phase Retrieval
S Pinilla, KV Mishra, BM Sadler - ar**
L Wu, DP Palomar - IET
One distinguished feature of cognitive radar is the ability of intelligent sensing, which relies
much on the transmit waveform in a self-perpetuating manner. On the one hand, the transmit …
much on the transmit waveform in a self-perpetuating manner. On the one hand, the transmit …
Unique Bispectrum Inversion for Signals with Finite Spectral/Temporal Support
Retrieving a signal from its triple correlation spectrum, also called bispectrum, arises in a
wide range of signal processing problems. Conventional methods do not provide an …
wide range of signal processing problems. Conventional methods do not provide an …