| 1. |
- TICHAVSKY, P, et al.
(författare)
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2 ALGORITHMS FOR ADAPTIVE RETRIEVAL OF SLOWLY TIME-VARYING MULTIPLE CISOIDS IN NOISE
- 1995
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Ingår i: IEEE TRANSACTIONS ON SIGNAL PROCESSING. - : IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC. - 1053-587X. ; 43:5, s. 1116-1127
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Tidskriftsartikel (övrigt vetenskapligt/konstnärligt)abstract
- Two algorithms for tracking parameters of slowly varying multiple complex sine waves (cisoids) in noise (the multiple frequency tracker and the adaptive notch filter) are described, For high signal-to-noise ratio (SNR), the properties of the algorithms (i
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| 2. |
- Händel, Peter, 1962-, et al.
(författare)
-
Adaptive estimation for periodic signal enhancement and tracking
- 1994
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Ingår i: International journal of adaptive control and signal processing (Print). - : Wiley. - 0890-6327 .- 1099-1115. ; 8:5, s. 447-456
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Tidskriftsartikel (refereegranskat)abstract
- A fast algorithm for enhancement and tracking of periodic signals with fixed or slowly varying central frequency in additive noise is proposed. The algorithm is based on results from discounted least squares identification of a harmonic signal model combined with a recursive update scheme for the estimated fundamental frequency. In particular the gain sequence of the algorithm is determined by the fundamental frequency and an eligible forgetting factor. The performance of the algorithm is compared with theoretical lower bounds and it is shown that the algorithm yields good results.
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| 3. |
- Händel, Peter, 1962-, et al.
(författare)
-
Asymptotic noise gain of polynomial predictors
- 1997
-
Ingår i: Signal Processing. - 0165-1684 .- 1872-7557. ; 62:2, s. 247-250
-
Tidskriftsartikel (refereegranskat)abstract
- Finite impulse response filters for the prediction of polynomial signals are considered. An expression for the asymptotic noise gain (as the filter length increases without bound) is derived. It is shown that the asymptotic noise gain only depends on the polynomial order - in particular, it is independent of the prediction horizon. It is also shown that the noise gain forms a non-increasing sequence for increasing filter lengths. Numerical results that lend support to the theoretical findings are included.
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| 4. |
- Händel, Peter, 1962-, et al.
(författare)
-
Frequency rate estimation at high SNR
- 1997
-
Ingår i: IEEE Transactions on Signal Processing. - : Institute of Electrical and Electronics Engineers (IEEE). - 1053-587X .- 1941-0476. ; 45:8, s. 2101-2105
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Tidskriftsartikel (refereegranskat)abstract
- The problem of estimating the frequency rate-of-change of complex-valued frequency-modulated signals from noisy observations is considered. The performance of four related estimators is studied, both analytically and by means of simulations, and their relationship to the estimators proposed by Djuric/Kay and Lang/Musicus is established.
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| 5. |
- Händel, Peter, 1962-, et al.
(författare)
-
Frequency rate estimation based on fourth order sample moments
- 1996
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Ingår i: 8th IEEE Signal Processing Workshop on Statistical Signal and Array Processing, SSAP'96. ; , s. 391-394
-
Konferensbidrag (refereegranskat)abstract
- Estimation of the frequency rate of linear frequency modulated signals based on phase angles of fourth order sample moments is considered. Three low-complexity estimators are proposed whose performance is close to optimal, that is their error variance is close to the Cramer-Rao lower bound
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| 6. |
- Händel, Peter, 1962-, et al.
(författare)
-
Large error recovery for a class of frequency tracking algorithms
- 1998
-
Ingår i: International journal of adaptive control and signal processing (Print). - 0890-6327 .- 1099-1115. ; 12:5, s. 417-436
-
Tidskriftsartikel (refereegranskat)abstract
- The performance of a recently proposed high-order adaptive notch filter (HANF) for frequency estimation and tracking is studied. An analysis technique utilizing approximations with linear filters is employed to derive closed-form performance expressions for a noisy sinusoidal input signal. Important performance measures, such as stability, noise rejection, statistical efficiency, and tracking ability, are studied in detail, and rules for the design variables are given. A study is presented where the performance of HANF is compared with the performance of a minimal order adaptive notch filter (ANF), as well as with a frequency tracker based on least squares-modelling-the multiple frequency tracker (MFT). The study reveals that HANF is a competitive alternative to ANF, but also that, in general, the MFT is the method of choice.
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| 7. |
- Tichavsky, P., et al.
(författare)
-
Efficient tracking of multiple sinusoids with slowly varying parameters
- 1993
-
Ingår i: ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing. ; , s. 368-371
-
Konferensbidrag (refereegranskat)abstract
- An algorithm for tracking the parameters of slowly time-varying multiple sine waves in noise is proposed. The estimates of the instant frequencies are updated directly using a simple property of the one-step increment of the phases. The algorithm is based on the recursive least squares method with exponential weighting factor. The risetime and the noise rejection characteristics of the algorithm are studied theoretically in the single complex sine wave case, assuming that the SNR is sufficiently high. The proposed algorithm is easy to implement, and computer simulations show that it yields good results.<>
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| 8. |
- Tichavsky, P., et al.
(författare)
-
Estimating parameters of polynomial phase signals by tracking algorithms
- 1998
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Ingår i: 1998 9th IEEE SP Workshop on Statistical Signal and Array Processing. ; , s. 348-351
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Konferensbidrag (refereegranskat)abstract
- Polynomial phase signals are encountered for example in pulse compression radar systems. A recently proposed ldquo;multiple frequency tracker rdquo; in combination with a polynomial fitting procedure are shown to perform well in estimating parameters of polynomial phase signals. In comparison with the popular discrete polynomial-phase transform, the proposed method is shown to have a significantly lower SNR threshold, while retaining a low computational complexity
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| 9. |
- Tichavsky, P., et al.
(författare)
-
Multicomponent polynomial phase signal analysis using a tracking algorithm
- 1999
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Ingår i: IEEE Transactions on Signal Processing. - : Institute of Electrical and Electronics Engineers (IEEE). - 1053-587X .- 1941-0476. ; 47:5, s. 1390-1395
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Tidskriftsartikel (refereegranskat)abstract
- We describe an efficient technique analyzing signals that comprise a number of polynomial-phase components, The technique is based on a recently proposed "multiple frequency tracker," which is an algorithm for recursive estimation of parameters of multiple sine waves in noise, It has a relatively low SNR threshold and moderate computational complexity.
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| 10. |
- Tichavsky, P., et al.
(författare)
-
Recursive estimation of frequencies and frequency rates of multiple cisoids in noise
- 1997
-
Ingår i: Signal Processing. - 0165-1684 .- 1872-7557. ; 58:2, s. 117-129
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Tidskriftsartikel (refereegranskat)abstract
- A recursive algorithm for simultaneous estimation and tracking of instantaneous frequencies and instantaneous frequency rates-of-change for signals that consist of multiple narrow-band components in noise is proposed and studied. The algorithm recursively separates the signal to individual components and uses estimated phase differences for updating the instantaneous frequency and frequency rate of each component. The main advantages of the proposed algorithm over frequencies-only tracking algorithms known in literature include the zero asymptotic bias (zero tracking delay) in estimating of the instantaneous frequencies of linear FM (chirp) signals and more accurate tracking of frequencies that cross each other. Performance of the algorithm is studied by means of a linear filter approximation technique and derived results are compared with the appropriate (posterior) Cramer-Rao bound. Superior performance of the algorithm is illustrated by computer simulations.
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