47,758 research outputs found
A system-on-chip microwave photonic processor solves dynamic RF interference in real time with picosecond latency
Radio-frequency interference is a growing concern as wireless technology
advances, with potentially life-threatening consequences like interference
between radar altimeters and 5G cellular networks. Mobile transceivers mix
signals with varying ratios over time, posing challenges for conventional
digital signal processing (DSP) due to its high latency. These challenges will
worsen as future wireless technologies adopt higher carrier frequencies and
data rates. However, conventional DSPs, already on the brink of their clock
frequency limit, are expected to offer only marginal speed advancements. This
paper introduces a photonic processor to address dynamic interference through
blind source separation (BSS). Our system-on-chip processor employs a fully
integrated photonic signal pathway in the analogue domain, enabling rapid
demixing of received mixtures and recovering the signal-of-interest in under 15
picoseconds. This reduction in latency surpasses electronic counterparts by
more than three orders of magnitude. To complement the photonic processor,
electronic peripherals based on field-programmable gate array (FPGA) assess the
effectiveness of demixing and continuously update demixing weights at a rate of
up to 305 Hz. This compact setup features precise dithering weight control,
impedance-controlled circuit board and optical fibre packaging, suitable for
handheld and mobile scenarios. We experimentally demonstrate the processor's
ability to suppress transmission errors and maintain signal-to-noise ratios in
two scenarios, radar altimeters and mobile communications. This work pioneers
the real-time adaptability of integrated silicon photonics, enabling online
learning and weight adjustments, and showcasing practical operational
applications for photonic processing
Mathematical tools for identifying the fetal response to physical exercise during pregnancy
In the applied mathematics literature there exist a significant number of tools that can reveal the interaction between mother and fetus during rest and also during and after exercise. These tools are based on techniques from a number of areas such as signal processing, time series analysis, neural networks, heart rate variability as well as dynamical systems and chaos. We will briefly review here some of these methods, concentrating on a method of extracting the fetal heart rate from the mixed maternal-fetal heart rate signal, that is based on phase space reconstructio
Blind MultiChannel Identification and Equalization for Dereverberation and Noise Reduction based on Convolutive Transfer Function
This paper addresses the problems of blind channel identification and
multichannel equalization for speech dereverberation and noise reduction. The
time-domain cross-relation method is not suitable for blind room impulse
response identification, due to the near-common zeros of the long impulse
responses. We extend the cross-relation method to the short-time Fourier
transform (STFT) domain, in which the time-domain impulse responses are
approximately represented by the convolutive transfer functions (CTFs) with
much less coefficients. The CTFs suffer from the common zeros caused by the
oversampled STFT. We propose to identify CTFs based on the STFT with the
oversampled signals and the critical sampled CTFs, which is a good compromise
between the frequency aliasing of the signals and the common zeros problem of
CTFs. In addition, a normalization of the CTFs is proposed to remove the gain
ambiguity across sub-bands. In the STFT domain, the identified CTFs is used for
multichannel equalization, in which the sparsity of speech signals is
exploited. We propose to perform inverse filtering by minimizing the
-norm of the source signal with the relaxed -norm fitting error
between the micophone signals and the convolution of the estimated source
signal and the CTFs used as a constraint. This method is advantageous in that
the noise can be reduced by relaxing the -norm to a tolerance
corresponding to the noise power, and the tolerance can be automatically set.
The experiments confirm the efficiency of the proposed method even under
conditions with high reverberation levels and intense noise.Comment: 13 pages, 5 figures, 5 table
Of `Cocktail Parties' and Exoplanets
The characterisation of ever smaller and fainter extrasolar planets requires
an intricate understanding of one's data and the analysis techniques used.
Correcting the raw data at the 10^-4 level of accuracy in flux is one of the
central challenges. This can be difficult for instruments that do not feature a
calibration plan for such high precision measurements. Here, it is not always
obvious how to de-correlate the data using auxiliary information of the
instrument and it becomes paramount to know how well one can disentangle
instrument systematics from one's data, given nothing but the data itself. We
propose a non-parametric machine learning algorithm, based on the concept of
independent component analysis, to de-convolve the systematic noise and all
non-Gaussian signals from the desired astrophysical signal. Such a `blind'
signal de-mixing is commonly known as the `Cocktail Party problem' in
signal-processing. Given multiple simultaneous observations of the same
exoplanetary eclipse, as in the case of spectrophotometry, we show that we can
often disentangle systematic noise from the original light curve signal without
the use of any complementary information of the instrument. In this paper, we
explore these signal extraction techniques using simulated data and two data
sets observed with the Hubble-NICMOS instrument. Another important application
is the de-correlation of the exoplanetary signal from time-correlated stellar
variability. Using data obtained by the Kepler mission we show that the desired
signal can be de-convolved from the stellar noise using a single time series
spanning several eclipse events. Such non-parametric techniques can provide
important confirmations of the existent parametric corrections reported in the
literature, and their associated results. Additionally they can substantially
improve the precision exoplanetary light curve analysis in the future.Comment: ApJ accepte
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