2014Unpublished venueRequires access

Wideband IIR digital integrator and differentiator

Jayalaxmi Devate, S. Y. Kulkarni, K. R. Pai

Open publisher page 5 citations

Abstract

In this paper, we present the design of a wide band digital integrator and differentiator. The starting point for this design is the well known backward rectangular numerical integration rule. The rectangular integration formula is modified to get a good low frequency response. The bandwidth of the same is extended to cover a wide range using two clock technique. Differentiator is obtained by inverting the transfer function of the integrator. Integrator and differentiator thus obtained have magnitude response close to the ideal ones over entire Nyquist range of frequency with an error much less than what is reported in literature so far.

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What this paper is about

In this paper, we present the design of a wide band digital integrator and differentiator. The starting point for this design is the well known backward rectangular numerical integration rule. The rectangular integration formula is modified to get a good low frequency response. The bandwidth of the same is extended to cover a wide range using two clock technique. Differentiator is obtained by inverting the transfer function of the integrator. Integrator and differentiator thus obtained have magnitude response close to the ideal ones over entire Nyquist range of frequency with an error much less than what is reported in literature so far.

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Available abstract

In this paper, we present the design of a wide band digital integrator and differentiator. The starting point for this design is the well known backward rectangular numerical integration rule. The rectangular integration formula is modified to get a good low frequency response. The bandwidth of the same is extended to cover a wide range using two clock technique. Differentiator is obtained by inverting the transfer function of the integrator. Integrator and differentiator thus obtained have magnitude response close to the ideal ones over entire Nyquist range of frequency with an error much less than what is reported in literature so far.

Key concepts: Differentiator, Integrator, Wideband, Nyquist frequency, Infinite impulse response, Transfer function, Computer science, Control theory (sociology)

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