The design of high dynamic range continuous-time integratable bandpass filters

Groenewold, G.

doi:10.1109/31.85626

Cited by 96 publications

(62 citation statements)

References 9 publications

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“…Practical applications of the state-space analysis include balanced model reduction of large-scale systems [1], [2] and synthesis of analog filters of high dynamic range [3], [4]. The key factors in these applications are the controllability/observability Gramians-these are the matrices which exhibit structural properties of systems, and thus known to be vital to the abovementioned applications.…”

Section: Introductionmentioning

confidence: 99%

State-Space Analysis of Power Complementary Analog Filters

Koshita

Abe

Kawamata

2007

2007 IEEE International Symposium on Circuits and Systems (ISCAS)

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Abstract-This paper presents a new analysis of power complementary analog filters using the state-space representation. Our analysis is based on the bounded-real Riccati equations that were developed in the field of control theory. We show that the sum of the controllability/observability Gramians of a pair of power complementary filters is represented by a constant matrix, which is given as a solution to the bounded-real Riccati equations. This result means that power complementary filters possess complementary properties with respect to the Gramians, as well as the magnitude responses of systems. Furthermore, we derive new theorems on a specific family of power complementary filters that are generated by a pair of invertible solutions to the bounded-real Riccati equations. These theorems show some interesting relationships of this family with respect to the Gramians, zeros, and coefficients of systems.

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Section: Introductionmentioning

confidence: 99%

State-Space Analysis of Power Complementary Analog Filters

Koshita

Abe

Kawamata

2007

2007 IEEE International Symposium on Circuits and Systems (ISCAS)

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“…Other techniques for optimum pole/zero placement have also been performed for analog filters [3]. Some optimization techniques involve state-space methods targeting reduced filter sensitivity [4], and pre-design optimization of bandpass filters that determines the realization feasibility of a filter design for given level of distortion and dynamic range [5]. Our linear programming approach presented here is unique in that it preserves the filter responses and topology (LC ladder example is used) while targeting efficient integrated circuit (IC) implementation.…”

Section: Introductionmentioning

confidence: 99%

Continuous-time filter design optimized for reduced die area

Myers

Greenley

Thomas³

et al. 2004

IEEE Trans. Circuits Syst. II

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Abstract-A method for distributing capacitor and resistor area to optimally reduce die area in a given continuous-time filter design while maintaining the filter's designed signal-to-noise ratio (SNR), frequency response, and topology is discussed. To do this, a basic linear programming algorithm is developed from derived circuit cost and constraint functions. Among the three major filter types of fifth-order under comparison, maximum combined capacitor and resistor die area savings of 21% results for the Butterworth filter. An alternative approach where the SNR is optimized for a given die area is also presented. Maximum improvement of the fifth-order Butterworth filter for this approach is 1.2 dB.

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“…As in the discrete-time case, the Gramians and the second-order modes of continuous-time systems play important roles in synthesis of filter structures of high performance [6][7][8][9][10][11][12]. A high-performance structure can be obtained by optimizing or sub-optimizing a prescribed cost function in terms of the controllability and observability Gramians.…”

Section: State-space Representation Of Analog Filtersmentioning

confidence: 99%

“…In other words, few results have been reported about the relationship between the frequency transformation and the internal properties. As is well-known, the internal properties of filters are closely related to the problem of how we should construct a filter structure of a given transfer function, and this problem must be carefully considered in order to obtain analog filters of high dynamic range and low sensitivity [6][7][8][9][10][11][12] or digital filters of high accuracy with respect to finite wordlength effects [13][14][15][16][17][18][19][20][21][22][23][24][25]. Hence it is worthwhile to investigate the frequency transformation from the viewpoint of the internal properties, and to extend the results to some practical applications.…”

Section: Introductionmentioning

confidence: 99%