Frequency tracking and acquisition with a four-quadrant arctan phase detector based digital phase locked loop

Kandeepan, Sithamparanathan; Reisenfeld, Sam

doi:10.1109/icics.2003.1292483

Cited by 11 publications

(17 citation statements)

References 4 publications

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“…From [12], by considering the nonlinear characteristics of the arctan function, ϕ e [n] can be expressed as,…”

Section: A Stochastic Modelingmentioning

confidence: 99%

“…where, K p is the phase detector gain [12], [6] and υ[n] is the transformed input Gaussian noise when passed through the nonlinear arctan function. The statistical distribution of the transformed noise υ[n] is given in [12] (18).…”

Section: A Stochastic Modelingmentioning

confidence: 99%

“…The statistical distribution of the transformed noise υ[n] is given in [12] (18). The phase detector gain K p is a function of the input SN R and the input phase angle in to the arctan function, we also find from [12], [6] that K p = 1 for SN R > 7dB.…”

Section: A Stochastic Modelingmentioning

confidence: 99%

“…In this paper we present a frequency estimation technique driven by a frequency tracking loop (feedback estimator), using an arctan based digital phase locked loop (D-PLL) [12], followed by a feed forward estimator. Therefore, the proposed estimator is essentially a combination of feedback and feed forward techniques.…”

Section: Introductionmentioning

confidence: 99%

“…However, the advancements in hardware and firmware enabling to implement nonlinear signal processing blocks, encourages us to revisit the concepts of PLL and modify the loop with intentionally incorporating signal processing blocks to achieve better performances [13], [12]. An example of such a nonlinear loop, which we present here, is the complex envelope based digital-PLL with an arctan phase detector [12]. We incorporate the nonlinear arctan function within the loop to perform a direct estimate on the signal phase.…”

Section: Introductionmentioning

confidence: 99%

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Digital-PLL Assisted Frequency Estimation with Improved Error Variance

Kandeepan

2008

IEEE GLOBECOM 2008 - 2008 IEEE Global Telecommunications Conference

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In this paper we present a novel frequency estimation technique, assisted by an imperfect second order arctan based Digital Phase-Locked Loop (D-PLL), for complex single sinusoidal signals in additive white Gaussian noise. The imperfect loop contains the frequency information in its phase error process, at steady state, which is then used to estimate the frequency after the signal has been acquired by the D-PLL. For N samples, this particular estimator has a lower bound on the frequency error variance proportional to 1/N which is different to the well known Maximum Likelihood (ML) estimator that has a lower bound proportional to 1/N 3 known as the CramerRao bound (CRB). However, for given combinations of the loop parameters of the D-PLL, the error variance of the proposed estimator gives an improvement over the CRB for small values of N . We also present some detailed noise analysis on the proposed frequency estimator and derive a lower bound for the frequency error variance.

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“…From [12], by considering the nonlinear characteristics of the arctan function, ϕ e [n] can be expressed as,…”

Section: A Stochastic Modelingmentioning

confidence: 99%

Section: A Stochastic Modelingmentioning

confidence: 99%

Section: A Stochastic Modelingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Digital-PLL Assisted Frequency Estimation with Improved Error Variance

Kandeepan

2008

IEEE GLOBECOM 2008 - 2008 IEEE Global Telecommunications Conference

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Elimination of truncation and round off error and enhancement of stability using a new split loop DPLL

Sarkar¹,

Chatterjee²,

Maulik

et al. 2011

Int J Communication

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SUMMARYIn contrast with the conventional split loop digital phase lock loop, a new loop is presented in this paper that differs from the earlier version principally by design aspects. It incorporates an additional phase modulation input along with its frequency modulation input in the digital controlled oscillator. It is capable of eliminating the deleterious effects of rounding and truncation error with faster signal accusation. Higher loop stability is also achievable using the new split loop digital phase lock loop. Furthermore, radio frequency filtering is done using an In phase and Quadrature phase (IQ) voltage controlled oscillator to avoid interaction between the loop filter and the radio frequency filter. Copyright © 2011 John Wiley & Sons, Ltd.

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Zero crossing DPLL based phase recovery system and its application in wireless communication

Bhattacharyya

Ahmed

Purkayastha

et al. 2015

2015 International Conference on Computer, Communication and Control (IC4)

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Proper tracking of signals at any intermediate stage of a processing system or at the receiver of modern day communication systems has been given much importance over the last two decades. Proper tracking of the signal envelope is evidently very necessary; for communication systems, to recover the message signal that was transmitted with minimum error whereas for signal processing applications, to regenerate the signal in its most precise form by removing unwanted noise, harmonics, undesired frequency components etc. To develop a system which would be able to track a wide range of signals accurately, a generalized parameter should be available to us which would define all signals accurately. The 'instantaneous phase' information of the signal is kept intact and thus it is a very vital parameter to represent any signal. Thus, if the instantaneous phase of the signal is properly tracked, the signal can be easily regenerated. In recent times, DPLL algorithms have emerged as an efficient technique for phase recovery and considering this aspect, a Zero Crossing Algorithm based DPLL system for phase recovery is proposed.

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Frequency tracking and acquisition with a four-quadrant arctan phase detector based digital phase locked loop

Cited by 11 publications

References 4 publications

Digital-PLL Assisted Frequency Estimation with Improved Error Variance

Digital-PLL Assisted Frequency Estimation with Improved Error Variance

Elimination of truncation and round off error and enhancement of stability using a new split loop DPLL

Zero crossing DPLL based phase recovery system and its application in wireless communication

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