A new improved iterative method for compensation of the (sin x)/x frequency response distortion

Bermudez, J.C.M.; Filho, Sidnei Noceti; Seara, Rui; Mayer, Joceli

doi:10.1109/iscas.1990.112590

Cited by 4 publications

(9 citation statements)

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“…x x , which introduces a significant distortion (up to 4 dB) for low sampling-to-signal frequency ratios [2][3][4][5]. Thus, many practical processing systems require (sin ) /…”

Section: Introductionmentioning

confidence: 99%

Analytical System Adjustment for the Discrete-to-Continuous Distortion

Mayer¹,

Seara²,

Filho³

et al. 2000

Anais Do XVIII Simpósio Brasileiro De Telecomunicações

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This paper proposes an extension of the analytical compensation method for the sample-and-hold distortion presented in [1]. That distortion can introduce a degradation of up to 4 dB in the magnitude of the system frequency response. The proposed compensation method adjusts the system parameters without changing the system order. Using an adequate set of adjustment frequencies, we obtain new parameters by solving a linear system of equations. Following the adjustment, we apply frequency scaling to the transfer function. The method is applicable to monotonic and equiripple (Butterworth, Legendre, Chebyshev, Cauer, etc.) approximations. Examples are given to illustrate the compensation accuracy. Results indicate a better compensation than existing iterative and non-iterative techniques.

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“…x x , which introduces a significant distortion (up to 4 dB) for low sampling-to-signal frequency ratios [2][3][4][5]. Thus, many practical processing systems require (sin ) /…”

Section: Introductionmentioning

confidence: 99%

Analytical System Adjustment for the Discrete-to-Continuous Distortion

Mayer¹,

Seara²,

Filho³

et al. 2000

Anais Do XVIII Simpósio Brasileiro De Telecomunicações

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“…This function may represent an analog reconstruction filter or a discrete-time system. In the latter, we can determine H( S) from the z-domain transfer function through a z-to-s transformation (such as the inverse bilinear transformation [4]). Since the system and the distortion are both in the signal path, it is possible to reduce the overall output spectral distortion by compensating IH(jw)l 161.…”

Section: Compensation Methodsmentioning

confidence: 99%

“…In these systems, the interpolation process distorts the spectrum of the continuoustime output signal. Among the effects created at D/A conversion, a significant one is the well known (sinx)/x distortion [ 1- 4,6]. Increasing the sampling frequency and/or reducing the width of the sampling pulse can reduce ithe (sin x)/x distortion.…”

Section: Introductionmentioning

confidence: 99%

“…Also, numerical optimizations may lead to increased system order and required hardware [5]. To avoid these drawbacks, iterative analytical methods have been proposed [3,4,6]. Analytical formulations are effective when information about the specific distortion problem is available.…”

Section: Introductionmentioning

confidence: 99%

“…Typical examples are 0-7803-2972-4/96$5.00@ 1996 IEEE compensations for the (sin x)/x distortion and for the rolloff in telephone channels [6]. The analytical iterative methods proposed in [3,4,6] lead to effective compensations without increasing the order of the system. However, the compensation is achieved by adjusting the system's response at one adjustment frequency at time.…”

Section: Introductionmentioning

confidence: 99%

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An analytical compensation for the sample-and-hold distortion

Mayer

Seara

Filho

et al.

38th Midwest Symposium on Circuits and Systems. Proceedings

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In this paper, a new analytical technique for compensation of the sample-and-hold distortion is proposed. The compensation is realized by modification of the system's parameters. The order of the system's function is kept the same. Using small pole displacement assumptions and an adequate set o f adjustment frequencies, the coefficients of the compensated transfer function are obtained by solving a linear system of equations. This approach is essentially analytical. Nevertheless, the procedure can be used repeatedly to improve the compensation results. Examples and comparisons show that the new approach yields a better tradeoff between accuracy and computational effort than other existing techniques. The proposed technique can be easily adapted to compensate for other distortions.

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