Compact formulas for least-squares design of digital differentiators

Mollova, G.

doi:10.1049/el:19991183

Cited by 29 publications

(8 citation statements)

References 6 publications

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“…Filters are typically designed in the minimax (Chebyshev) sense or least-squares sense, or possibly combinations thereof, see [24][25][26]. The goal of this chapter is to demonstrate that the complexity (number of multiplications and additions) can be reduced when using the two-rate based structures instead of regular structures.…”

Section: Designmentioning

confidence: 99%

Two-Rate Based Structures for Computationally Efficient Wide- Band FIR Systems

Johansson¹,

Gustafsson²

2013

Digital Filters and Signal Processing

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Section: Designmentioning

confidence: 99%

Two-Rate Based Structures for Computationally Efficient Wide- Band FIR Systems

Johansson¹,

Gustafsson²

2013

Digital Filters and Signal Processing

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“…The smoothing is a lowpass filter; instead the ideal numerical derivative enhances high frequencies (Mollova, 1999). This means that in order to perform effectively a numerical derivative of a signal, a smoothing filter has to be coupled in cascade with the ideal derivative (see Sect.…”

Section: Introductionmentioning

confidence: 99%

Effective resolution concepts for lidar observations

et al. 2015

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Abstract. Since its establishment in 2000, EARLINET (European Aerosol Research Lidar NETwork) has provided, through its database, quantitative aerosol properties, such as aerosol backscatter and aerosol extinction coefficients, the latter only for stations able to retrieve it independently (from Raman or high-spectral-resolution lidars). These coefficients are stored in terms of vertical profiles, and the EARLINET database also includes the details of the range resolution of the vertical profiles. In fact, the algorithms used in the lidar data analysis often alter the spectral content of the data, mainly acting as low-pass filters to reduce the high-frequency noise. Data filtering is described by the digital signal processing (DSP) theory as a convolution sum: each filtered signal output at a given range is the result of a linear combination of several signal input data samples (relative to different ranges from the lidar receiver), and this could be seen as a loss of range resolution of the output signal. Low-pass filtering always introduces distortions in the lidar profile shape. Thus, both the removal of high frequency, i.e., the removal of details up to a certain spatial extension, and the spatial distortion produce a reduction of the range resolution.This paper discusses the determination of the effective resolution (ERes) of the vertical profiles of aerosol properties retrieved from lidar data. Large attention has been dedicated to providing an assessment of the impact of low-pass filtering on the effective range resolution in the retrieval procedure.

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“…Recently, Upadhyay has also proposed recursive wideband digital differentiators of 2% maximum percentage relative errors almost over the full Nyquist band [18]. Non-recursive finite impulse response (FIR) digital differentiators have been designed for highly accurate magnitude response using various techniques [19][20][21][22][23]. However, non-recursive wideband digital differentiators comparatively have higher-order but satisfying the linear phase requirement over the whole Nyquist band.…”

Section: Introductionmentioning

confidence: 99%

A Simple Approach to Design Recursive Digital Differentiators and Integrators

Upadhyay¹,

Singh²

2011

IJCA

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In this paper, a simple approach is proposed to design recursive digital differentiators and integrators by applying the concept of time-constant analysis. The time-constant combined with the magnitude response describes the system behavior of a digital differentiator and an integrator. Further, new recursive digital differentiator and integrator designs of first-order systems are also obtained for more accurate or comparable magnitude responses as compared to the existing designs of higher-order systems over wideband. These designs are more suitable for control systems and signal processing applications.

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Compact formulas for least-squares design of digital differentiators

Cited by 29 publications

References 6 publications

Two-Rate Based Structures for Computationally Efficient Wide- Band FIR Systems

Two-Rate Based Structures for Computationally Efficient Wide- Band FIR Systems

Effective resolution concepts for lidar observations

A Simple Approach to Design Recursive Digital Differentiators and Integrators

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