Signal tracking approach for simultaneous estimation of phase and instantaneous frequency
01 Feb 2015-pp 1-5
TL;DR: This paper addresses the problem of simultaneous phase and instantaneous frequency estimation from polynomial phase signals embedded in Gaussian noise by introducing the modified signal tracking approach which is then realized using unscented Kalman filter.
Abstract: Phase estimation plays an important role in various signal processing areas like Radar, Sonar, power systems, speech analysis, communications and many others. The phase of the analytic form of the non stationary signals can be used to find instantaneous frequency. This paper addresses the problem of simultaneous phase and instantaneous frequency estimation from polynomial phase signals embedded in Gaussian noise. Here we have introduced the modified signal tracking approach which is then realized using unscented Kalman filter. The state space model is derived using Taylor series expansion of the phase of polynomial phase signal as process model while Polar to Cartesian conversion as measurement model. Proposed method, compared with state-of-the-art, performs better for signals with higher order polynomial phase variations at lower Signal-to-Noise-Ratio (0-5dB). We also present the simulation results for phase estimation.
Citations
More filters
01 Aug 2002
TL;DR: The letter defines an IFR estimation algorithm and theoretically analyzes it and is seen to be asymptotically optimal at the center of the data record for high signal-to-noise ratios.
Abstract: This letter introduces a two-dimensional bilinear mapping operator referred to as the cubic phase (CP) function. For first-, second-, or third-order polynomial phase signals, the energy of the CP function is concentrated along the frequency rate law of the signal. The function, thus, has an interpretation as a time-frequency rate representation. The peaks of the CP function yield unbiased estimates of the instantaneous (angular) frequency rate (IFR) and, hence, can be used as the basis for an IFR estimation algorithm. The letter defines an IFR estimation algorithm and theoretically analyzes it. The estimation is seen to be asymptotically optimal at the center of the data record for high signal-to-noise ratios. Simulations are provided to verify the theoretical claims.
178 citations
01 Aug 2015
TL;DR: This paper discusses a Fourier transform based phase unwrapping method that is highly robust to noise and performs better even at lower SNR values (5-10dB) with a very less value of RMS error.
Abstract: Phase information recovered through interferometric techniques is mathematically wrapped in the interval (−π, π). Obtaining the original unwrapped phase is very important in numerous number of applications. This paper discusses a Fourier transform based phase unwrapping method. Kalman filter is proposed for denoising in post processing step to restore the unwrapped phase without any noise. The proposed method is highly robust to noise and performs better even at lower SNR values (5–10dB) with a very less value of RMS error. Also, the time taken for execution is very less compared to the many available methods in the literature.
10 citations
Additional excerpts
...The piecewise polynomial approximation approach [12] and signal tracking approach [15], [16] provides unwrapped phase directly, but the non-linear measurement model limits the performance of those methods....
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TL;DR: In this article , the toxic effect of two Zinc (Zn)-based MOFs; zeolitic imidazolate frameworks (ZIF-8) and leaf-like ZIF-L, was tested to investigate the impact of the postmortem period of mice carrions and arthropods which found in decomposing car rions.
Abstract: Metal-organic frameworks (MOFs) are promising materials for several applications. Thus, they have been intensively reported and commercialized by several international companies. However, little is known about the fate and risk of MOFs to living organisms. Here, the toxic effect of two Zinc (Zn)-based MOFs; zeolitic imidazolate frameworks (ZIF-8) and leaf-like ZIF (ZIF-L), was tested to investigate the impact of the postmortem period of mice carrions and arthropods which found in decomposing carrions. The data analysis revealed an increase in zinc content over time. Toxicology in forensics studies biological materials for the presence of poisons, such as pharmaceuticals. The toxicology report can provide important details about the types of chemicals present in a person and whether the amount of those substances is in line with a therapeutic dose or exceeds a dangerous level. These findings conclude the possible fate and impact after mortality. This study presents the first study of the toxic effect of ZIFs materials using mice carrions and arthropods (Sarcophaga sp. Larvae) via morphological and microscopic studies compared with control, providing important biological information could aid in the environmental impact of the toxic level of MOF materials.
7 citations
TL;DR: In this paper , the toxic effect of two Zinc (Zn)-based MOFs; zeolitic imidazolate frameworks (ZIF-8) and leaf-like ZIF-L, was tested to investigate the impact of the postmortem period of mice carrions and arthropods which found in decomposing car rions.
Abstract: Metal-organic frameworks (MOFs) are promising materials for several applications. Thus, they have been intensively reported and commercialized by several international companies. However, little is known about the fate and risk of MOFs to living organisms. Here, the toxic effect of two Zinc (Zn)-based MOFs; zeolitic imidazolate frameworks (ZIF-8) and leaf-like ZIF (ZIF-L), was tested to investigate the impact of the postmortem period of mice carrions and arthropods which found in decomposing carrions. The data analysis revealed an increase in zinc content over time. Toxicology in forensics studies biological materials for the presence of poisons, such as pharmaceuticals. The toxicology report can provide important details about the types of chemicals present in a person and whether the amount of those substances is in line with a therapeutic dose or exceeds a dangerous level. These findings conclude the possible fate and impact after mortality. This study presents the first study of the toxic effect of ZIFs materials using mice carrions and arthropods (Sarcophaga sp. Larvae) via morphological and microscopic studies compared with control, providing important biological information could aid in the environmental impact of the toxic level of MOF materials.
4 citations
References
More filters
TL;DR: An upper bound for the number of the detectable chirp components using the DCFT is provided in terms of signal length and signal and noise powers, and it is shown that the N-point DCFT performs optimally when N is a prime.
Abstract: The discrete Fourier transform (DFT) has found tremendous applications in almost all fields, mainly because it can be used to match the multiple frequencies of a stationary signal with multiple harmonics. In many applications, wideband and nonstationary signals, however, often occur. One of the typical examples of such signals is chirp-type signals that are usually encountered in radar signal processing, such as synthetic aperture radar (SAR) and inverse SAR imaging. Due to the motion of a target, the radar return signals are usually chirps, and their chirp rates include the information about the target, such as the location and the velocity. In this paper, we study discrete chirp-Fourier transform (DCFT), which is analogous to the DFT. Besides the multiple frequency matching similar to the DFT, the DCFT can be used to match the multiple chirp rates in a chirp-type signal with multiple chirp components. We show that when the signal length N is prime, the magnitudes of all the sidelobes of the DCFT of a quadratic chirp signal are 1, whereas the magnitude of the mainlobe of the DCFT is /spl radic/N. With this result, an upper bound for the number of the detectable chirp components using the DCFT is provided in terms of signal length and signal and noise powers. We also show that the N-point DCFT performs optimally when N is a prime.
329 citations
"Signal tracking approach for simult..." refers methods in this paper
...Former approach is realized using various methods such as Maximum Likelihood Estimation (MLE), High-order Ambiguity function (HAF) [7], Cubic polynomial phase function (CPF) [8], Discrete Chirp-Fourier Transform (DCFT) [9], Discrete Polynomial Phase Transform (DPT) [10], [11] and others [12], [13]....
[...]
TL;DR: In this paper, a bilinear mapping operator referred to as the cubic phase (CP) function is introduced, where the energy of the CP function is concentrated along the frequency rate law of the signal.
Abstract: This letter introduces a two-dimensional bilinear mapping operator referred to as the cubic phase (CP) function. For first-, second-, or third-order polynomial phase signals, the energy of the CP function is concentrated along the frequency rate law of the signal. The function, thus, has an interpretation as a time-frequency rate representation. The peaks of the CP function yield unbiased estimates of the instantaneous (angular) frequency rate (IFR) and, hence, can be used as the basis for an IFR estimation algorithm. The letter defines an IFR estimation algorithm and theoretically analyzes it. The estimation is seen to be asymptotically optimal at the center of the data record for high signal-to-noise ratios. Simulations are provided to verify the theoretical claims.
179 citations
01 Aug 2002
TL;DR: The letter defines an IFR estimation algorithm and theoretically analyzes it and is seen to be asymptotically optimal at the center of the data record for high signal-to-noise ratios.
Abstract: This letter introduces a two-dimensional bilinear mapping operator referred to as the cubic phase (CP) function. For first-, second-, or third-order polynomial phase signals, the energy of the CP function is concentrated along the frequency rate law of the signal. The function, thus, has an interpretation as a time-frequency rate representation. The peaks of the CP function yield unbiased estimates of the instantaneous (angular) frequency rate (IFR) and, hence, can be used as the basis for an IFR estimation algorithm. The letter defines an IFR estimation algorithm and theoretically analyzes it. The estimation is seen to be asymptotically optimal at the center of the data record for high signal-to-noise ratios. Simulations are provided to verify the theoretical claims.
178 citations
"Signal tracking approach for simult..." refers methods in this paper
...Former approach is realized using various methods such as Maximum Likelihood Estimation (MLE), High-order Ambiguity function (HAF) [7], Cubic polynomial phase function (CPF) [8], Discrete Chirp-Fourier Transform (DCFT) [9], Discrete Polynomial Phase Transform (DPT) [10], [11] and others [12], [13]....
[...]
TL;DR: The proposed method for the detection and parameter estimation of mono or multicomponent polynomial-phase signals embedded in white Gaussian noise and based on a generalized ambiguity function is shown to be asymptotically efficient for second-order PPS and nearly asymptic efficient for third- order PPSs.
Abstract: The aim of this work is the performance analysis of a method for the detection and parameter estimation of mono or multicomponent polynomial-phase signals (PPS) embedded in white Gaussian noise and based on a generalized ambiguity function. The proposed method is shown to be asymptotically efficient for second-order PPS and nearly asymptotically efficient for third-order PPSs. The method presents some advantages with respect to similar techniques, like the polynomial-phase transform, for example, in terms of (i) a closer approach to the Cramer-Rao lower bounds, (ii) a lower SNR threshold, (iii) a better capability of discriminating multicomponent signals.
135 citations
"Signal tracking approach for simult..." refers methods in this paper
...Former approach is realized using various methods such as Maximum Likelihood Estimation (MLE), High-order Ambiguity function (HAF) [7], Cubic polynomial phase function (CPF) [8], Discrete Chirp-Fourier Transform (DCFT) [9], Discrete Polynomial Phase Transform (DPT) [10], [11] and others [12], [13]....
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TL;DR: This work focuses on parametric modeling of AM-FM signals, mainly because parametric techniques offer parsimony and allow for theoretically unlimited resolution.
Abstract: We address the parameter estimation problem for a class of nonstationary signals modeled as polynomial phase signals with time-varying amplitudes. Exponentially damped polynomial phase signals are treated as a special case and are analyzed in detail. High-order instantaneous moments provide the basic analytical tool, but links are shown to exist with either the usually employed FFT-based technique or the high-resolution Kumaresan-Tufts (1982), MUSIC, and matrix pencil methods. Asymptotic properties of the relevant estimators are established, Cramer-Rao lower bounds on the amplitude and phase parameter estimates are derived, and computer simulations are carried out to evaluate the performance of various schemes. We focus on parametric modeling of AM-FM signals, mainly because parametric techniques offer parsimony and allow for theoretically unlimited resolution.
115 citations
"Signal tracking approach for simult..." refers methods in this paper
...Former approach is realized using various methods such as Maximum Likelihood Estimation (MLE), High-order Ambiguity function (HAF) [7], Cubic polynomial phase function (CPF) [8], Discrete Chirp-Fourier Transform (DCFT) [9], Discrete Polynomial Phase Transform (DPT) [10], [11] and others [12], [13]....
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