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Frequency filtering

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lightbulbAbout this topic
Frequency filtering is a signal processing technique that selectively allows certain frequency components of a signal to pass while attenuating others. It is used to enhance or suppress specific frequencies in various applications, including audio processing, telecommunications, and image analysis, by employing filters such as low-pass, high-pass, band-pass, or band-stop.
lightbulbAbout this topic
Frequency filtering is a signal processing technique that selectively allows certain frequency components of a signal to pass while attenuating others. It is used to enhance or suppress specific frequencies in various applications, including audio processing, telecommunications, and image analysis, by employing filters such as low-pass, high-pass, band-pass, or band-stop.

Key research themes

1. How can frequency lowering algorithms improve audibility while preserving sound quality in hearing-impaired listeners?

This research area investigates frequency lowering techniques—such as frequency transposition (FT), linear frequency compression (LFC), nonlinear frequency compression (NFC), and harmonic frequency lowering (HFL)—with the goal of enhancing audibility of high-frequency sounds for hearing-impaired patients. The challenge is to preserve both speech intelligibility and sound quality, particularly in complex acoustic environments such as music listening, where harmonic integrity is crucial. Studies evaluate perceptual effects of different signal processing strategies and parameterizations to balance audibility and listener preference.

Key finding: Introduced a novel harmonic frequency lowering (HFL) algorithm combining frequency transposition and compression to better preserve harmonic content of music stimuli for hearing-impaired listeners. Experimental results showed... Read more

2. What are the mathematical foundations and implementations of frequency filtering techniques in image and signal processing?

This theme centers on mathematically characterizing and implementing frequency domain filters across digital signal and image processing applications. It covers the theory and variations of homomorphic filtering equations for image illumination correction, the design of digital filters with desirable frequency responses (such as low-pass and high-pass filters), frequency-domain segmentation techniques for image enhancement, and discrete Fourier transform (DFT)-based sinusoid frequency estimation algorithms. Emphasis is placed on developing efficient, accurate filter designs and frequency estimation methods that improve performance in noisy, non-ideal, or real-time scenarios.

Key finding: Reviewed the mathematical formulations of homomorphic filtering for digital image enhancement under poor illumination, focusing on how different filter functions (e.g., Difference of Gaussian, Butterworth high-pass) modulate... Read more
Key finding: Proposed a novel frequency domain filtering technique using Otsu thresholding-based segmentation to define masks for low-pass and high-pass filters directly on the image Fourier spectrum. This adaptive approach improves... Read more
Key finding: Provided comprehensive coverage of digital filter design principles, emphasizing frequency response characterization (magnitude and phase), convolution in time and frequency domains, and the implementation of filters with... Read more
Key finding: Presented an improved interpolation method correcting failures in Jain’s frequency estimation algorithm, particularly when original two-point selections fell on separate lobes leading to inaccurate frequency values. By... Read more
Key finding: Evaluated and compared nine non-iterative DFT-based frequency estimation algorithms under conditions of full-bandwidth quasi-harmonic interference and stationary noise, reflecting realistic scenarios with multiple co-existing... Read more

3. How can time-frequency methods and signal decomposition enhance filtering and analysis of nonstationary signals?

This research theme explores advanced filtering techniques operating in the joint time-frequency domain to improve the extraction and analysis of nonstationary and multicomponent signals. It includes time-frequency peak filtering via instantaneous frequency encoding, signal decomposition techniques using variable-length symmetric filters for exact phase-preserving decomposition, and frequency weighted filtering to emphasize spectral bands of interest. These approaches are directed at achieving cleaner signal recovery, improved frequency estimation, and adaptive filter designs that respond to real-world challenges such as noise and nonstationarity.

Key finding: Developed a novel signal filtering approach by encoding signals as instantaneous frequency functions and applying time-frequency peak detection on their Wigner Ville Distribution (WVD). The iterative time-frequency peak... Read more
Key finding: Introduced a frequency filtering method that exploits zeros in spectrogram representations derived from Short-Time Fourier Transforms (STFTs). Using Delaunay triangulation of these zeros provides a simplified yet complete... Read more
Key finding: Proposed an exact signal decomposition method utilizing recursively computed symmetric filters that preserve phase, segmenting signals from high to low frequency components. The method produces a 2D time-frequency... Read more
Key finding: Introduced iterative frequency weighted filtering and smoothing algorithms that assume filter/smoother estimation errors follow a first-order moving-average (MA1) process. The approach designs frequency weighting functions to... Read more

All papers in Frequency filtering

This paper presents a reduced complexity method for calibrating the RC time constant in integrated circuits. It generates an output DC voltage proportional to the calibrated RC time constant τ, which can be used for trimming analog... more
This paper presents a reduced complexity method for calibrating the RC time constant in integrated circuits. It generates an output DC voltage proportional to the calibrated RC time constant τ, which can be used for trimming analog... more
Multiferroics offer an elegant means to implement voltage-control and on the fly reconfigurability in microscopic, nanoscaled systems based on ferromagnetic materials. These properties are particularly interesting for the field of... more
The elastic scattering peak of a resonantly driven two-level system has been argued to provide narrow-linewidth antibunched photons. Although independent measurements of spectral width on the one hand and antibunching on the other hand do... more
A strategy has been developed for the removal of motion artifact and noise in calcium-dependent fluorescence transients from the perfused mouse heart using frequency filtering. An analytical model indicates that the spectral removal of... more
High and low CO 2 partial pressure (Pco 2) levels can induce consequences to the internal system of a karstic cave. This then can further affect the state of the cave. Subsequently, speleothem growths and the walls with prehistorical... more
Neuronal rhythms are ubiquitous features of brain dynamics, and are highly correlated with cognitive processing. However, the relationship between the physiological mechanisms producing these rhythms and the functions associated with the... more
The Southern Desert of Iraq covers a vast region in southwest Iraq. The stratigraphic column comprises relatively thick sedimentary strata, which overlay a Neoproterozoic basement and dip gently towards the northeast. The ground surface... more
The elastic scattering peak of a resonantly driven two-level system has been argued to provide narrow-linewidth antibunched photons. Although independent measurements of spectral width on the one hand and antibunching on the other hand do... more
We present a Jones matrix method useful to analyze coherent optical Fourier processors employing structured polarization. The proposed method is a generalization of the standard classical optical Fourier transform processor, but... more
In this paper, a universal biometric system based on human vision is proposed. From recent biological and physiological results, A human identification system that approximates the natural vision and recognition of individuals is... more
In this paper, a universal biometric system based on human vision is proposed. From recent biological and physiological results, A human identification system that approximates the natural vision and recognition of individuals is... more
Neuronal rhythms are ubiquitous features of brain dynamics, and are highly correlated with cognitive processing. However, the relationship between the physiological mechanisms producing these rhythms and the functions associated with the... more
The Bidimensional Empirical Mode Decomposition (BEMD) has taken its place among the most known decomposition methods as Fourier transform and wavelet, but the enormous execution time that it requires represents a real obstacle for its... more
The results of the experimental and theoretical studies conducted on terahertz filtering using two parallel-plate waveguides (PPWGs) are presented herein. The first PPWG with 355 μm plate separation generates 4 THz bandwidth TM modes... more
Top left: Illustrates the use of control points around a bounding box (2*xmax wide and ymax high) to determine parameters of the specified shape. Top right: Shows a specific example of Top left using 5 control points. Bottom: Shows how... more
Adequate separation of regional-residual components from observed gravity anomaly is always a challenging task in gravity interpretation. Several techniques have been developed for effective regional-residual separation, however, no... more
The accurate separation of gravity anomalies caused by widespread deep seated mass distribution (Regional) from the shallow subsurface bodies (Residual) is a crucial step in gravity anomaly interpretation. Several techniques have been... more
This paper was conceived through a graduate school homework problem in 2009. The course was Fast Computational Electromagnetics. In this paper, I develop the Method of Weighted Residuals (MWR) - Galerkin's method to numerically solve a... more
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