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Circuits and Systems, IEEE Transactions on

Issue 4 • Date April 1982

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Displaying Results 1 - 13 of 13
  • A practical remark on the minimal synthesis of resistive n-ports

    Publication Year: 1982 , Page(s): 267 - 269
    Cited by:  Papers (1)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (244 KB)  

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  • A heuristic thermistor model

    Publication Year: 1982 , Page(s): 272 - 276
    Cited by:  Papers (2)
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    Negative temperature coefficient thermistors, traditionally characterized by a nonlinear relationship in the resistance-temperature space, are shown to be intrinsically linear when that characteristic is mapped into a space defined by an appropriate transform. Therefore, information formerly conveyed by scores of tabulated ordered sets is contained in a pair of first-order equations which define resistance as a function of temperature and the converse. The necessary transforms and equations are defined; and, procedures for calculating the coefficients from manufacturers data using regression techniques are delineated. The ambiguity inherent in estimating parameters by statistical methods is discussed. Maximum mean ambiguity (5^{\circ} C) occurs when the model is applied over a span of 400^{\circ} C ; this figure is reduced to 0.1^{\circ} C for a span on 100^{\circ} C . The ambiguity continues to decrease as the span decreases. View full abstract»

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  • A pipelined tree machine architecture for computing a multidimensional convolution

    Publication Year: 1982 , Page(s): 201 - 207
    Cited by:  Papers (5)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (752 KB)  

    In this paper, a technique is proposed to decompose a two-dimensional (2-D) cyclic convolution of two d_{1} \times d_{2} arrays, where d_{2} = 2^{m} with m > 1 , into many identical and independent 2-D cyclic convolutions of smaller size. Using this technique and the fact that fast polynomial transform (FFT) exists when d_{1}=2^{m-r+1} for 1 \leq r \leq m , a pipelined tree machine architecture composed of modular FPT, FFT, and Chinese Remainder Theorem (CRT) computational units is then developed to efficiently compute a 2-D cyclic convolution. Finally, the extension of this tree machine architecture to efficiently compute a multidimensional cyclic convolution is discussed in this paper. View full abstract»

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  • The generalized Lagrange formulation for nonlinear RLC networks

    Publication Year: 1982 , Page(s): 220 - 233
    Cited by:  Papers (8)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (1536 KB)  

    Based on the concept of generalized Euler-Lagrange equations, this paper develops a Lagrange formulation of RLC networks of considerably broad scope. It is shown that the generalized Lagrange equations along with a set of compatibility constraint equations represents a set of governing differential equations of order equal to the order of complexity of the network. In this method the generalized coordinates include capacitor charges and inductor fluxes and the generalized velocities are comprised of an independent set of capacitor voltages and inductor currents. The generalized Hamilton equations are also developed and the connection with the Brayton-Moser equations is established. View full abstract»

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  • A new approach to the design of tuned power oscillators

    Publication Year: 1982 , Page(s): 261 - 267
    Cited by:  Papers (2)
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    A new method of the design of tuned power oscillators, based on the method of the equivalent two-terminal networks, is presented. By the use of the proposed method, a phase shift of the feedback network can be taken into account and the phase condition for oscillation can be fulfilled at the resonant frequency of the output matching network. Hence, it is possible to obtain the output power and the collector efficiency of the oscillator as high as in the corresponding tuned power amplifier. An example of the design of the class C tuned power oscillator is also given. The proposed method is particularly important for the design of tuned power oscillators operating at high frequencies, when the phase shift introduced by the transistor is significant. View full abstract»

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  • Active sensitivity minimization in SAB's with active compensation and optimization

    Publication Year: 1982 , Page(s): 239 - 245
    Cited by:  Papers (7)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (888 KB)  

    In this paper, a new high-gain three-port operational amplifier (OA) circuit is used to replace the single OA in single amplifier biquads (SAB's). The resultant biquads will have the first-order effect of the OA's finite gain-bandwidth products (GB) completely eliminated from their dominant pole frequencies. Then, the widely used bandpass filter will be considered, where the remaining dominant second-order effects of the OA's GB products will be minimized by choosing appropriate element spreads satisfying the technology. This results in a bandpass filter which has better performance than any other actively compensated filters. The comparison of the results and experimental results follow to prove some of the conclusions made in this paper. View full abstract»

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  • Conditions for quadratic convergence of quick periodic steady-state methods

    Publication Year: 1982 , Page(s): 234 - 239
    Cited by:  Papers (5)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (696 KB)  

    The periodic steady-state solution of nonlinear dynamic systems can be computed by the so-called quick steady-state methods, e.g., Newton iteration, optimization or extrapolation. These methods compute a vector z(t_{0}) of the periodic steady-state solution by requiring the solution to repeat itself periodically, z(t_{0} + T) = z(t_{0}) where T is the period. It is essential for the performance of the quick steady-state methods that the solution of the differential equations at t_{0} + T is a smooth function of the initial value at t_{0} . This paper gives sufficient conditions for the numerical approximation of the solution at t_{0} + T to be differentiable with Lipschitz continuous derivative with respect to the initial vector at t_{0} . The numerical approximation is obtained by the backward differentiation formulas, and two cases are considered. First the nonlinear algebraic corrector equations are solved exactly, and this case deals both with continuously differentiable problems and piecewise-linear problems. Secondly the algebraic equations are solved to an accuracy consistent with the discretization error of the backward differentiation formulas. Finally, the theorems are illustrated by examples. View full abstract»

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  • Analysis of transmission-line signal distribution to multiple ports

    Publication Year: 1982 , Page(s): 270 - 272
    Cited by:  Papers (2)  |  Patents (1)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (312 KB)  

    The frequency response of a characteristically terminated transmission line, with multiple lumped discontinuities (output port loads) along the line, is determined. The analysis applies steady-state transmission-line solutions and simple circuit analysis methods in an iterative manner to determine the frequency response of each output port. This method is applied to the case of equally spaced capacitive reactance impedances along the transmission-line length. The phase and amplitude distortion resulting from line losses and output loading are determined. View full abstract»

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  • A derivation of the switched-capacitor adjoint network based on a modified Tellegen's theorem

    Publication Year: 1982 , Page(s): 215 - 220
    Cited by:  Papers (12)
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    A method of generating an adjoint network for switchedcapacitor (SC) circuits with periodic switching and piecewise-constant inputs is derived in a general manner using a modified form of Tellegen's theorem. The derivation is independent of the method used to formulate the network equations. It is shown that under certain conditions the adjoint network may be described by the transposed system equations of the original switched capacitor circuit. The SC adjoint network is applied to the problem of determining the transfer functions from many input ports to a single output port. View full abstract»

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  • A new method for the design of 2-D filters with guaranteed stability

    Publication Year: 1982 , Page(s): 246 - 251
    Cited by:  Papers (2)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (584 KB)  

    A new method-based on transformations from 1-variable transfer functions is presented for the design of stable 2-variable transfer functions. As compared with already existing methods, this method results in a good response obtained through fewer numbers of iterations. The designed filters are always stable without the need of any constraints during minimization. View full abstract»

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  • Additive and multiplicative minimum-phase decompositions of 2-D rational power density spectra

    Publication Year: 1982 , Page(s): 207 - 214
    Cited by:  Papers (6)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (832 KB)  

    This paper considers the multiplicative and additive minimum-phase decompositions of a two-dimensional (2-D) rational power density spectrum (commonly known as the spectral factorization and partial fraction expansion problems). It is shown that both of these decompositions generally involve filters which are ratios of 2-D minimum-phase filters, with finite support in one variable, and infinite support in the other variable. It is shown that a sufficient condition for a 2-D autoregressive (AR) spectrum to have a rational additive decomposition is for the minimum-phase whitening filter to have finite reflection coefficient support. View full abstract»

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  • Subharmonic Synchronization of Class-C Oscillator

    Publication Year: 1982 , Page(s): 257 - 261
    Cited by:  Papers (2)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (448 KB)  

    This paper discusses the phenomenon of synchronization of a class-C oscillator in the subharmonic mode and reports certain new phenomena. A mathematical method has been developed to account for the phenomena. The effect of the time constant of the automatic biasing circuit on the synchronization range, frequency characteristics, stability, and locking time of the oscillator has been studied. Experimental data are also presented in support of the theory. View full abstract»

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  • Roundoff Noise Invariants in Normal Digital Filters

    Publication Year: 1982 , Page(s): 251 - 256
    Cited by:  Papers (8)
    Save to Project icon | Request Permissions | Click to expandQuick Abstract | PDF file iconPDF (664 KB)  

    The unit noise gains for optimal and parallel normal realizations of digital filters can be expressed in terms of a set of noise gain parameters that are simply related to the pole locations and pole residues. These noise gain parameters are shown to be invariant under a class of frequency transformations, and for digital filter transfer functions derived by bilinear transformation of an analog transfer function, are independent of the frequency scaling parameter. As a result, the unit noise gains of normal realizations can be simply related to the performance characteristics of the filter, i.e., to filter order, passband ripple, and stopband gain. These simple relations make it easy for the filter designer to select a structure with acceptable roundbff error. Unit noise gain for normal realizations of Butterworth, Chebyshev, and elliptic filters are plotted for a range of performance characteristics, and compared with optimal state-space structures. These results show that there is no significant difference between the unit noise gains of optimal normal realizations and parallel normal realizations, and that the unit noise gains of optimal state-space structures are significantly lower than the normal forms only for high-order Butterworth filters. View full abstract»

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