# IRE Transactions on Circuit Theory

## Filter Results

Displaying Results 1 - 23 of 23
• ### Editorial

Publication Year: 1955, Page(s): 3
| |PDF (186 KB)
• ### Four methods for the analysis of time-variable circuits

Publication Year: 1955, Page(s):4 - 12
Cited by:  Papers (2)
| |PDF (1036 KB)

THE GENERAL theory of electric circuits whose component parameters are linear and constant has been extensively developed and is well understood. In recent years, considerable attention and effort has been directed to the analysis and performance of circuits whose parameters vary with the time. Many of the most important and interesting problems of circuit theory involve variable. parameters. For ... View full abstract»

• ### Analysis of time-dependent linear networks

Publication Year: 1955, Page(s):12 - 16
Cited by:  Papers (2)
| |PDF (592 KB)

LET $bar f$ (an overbarred letter) denote the operator of a linear system; x(τ) an input signal, which depends on time τ and y(t) the output response, as recorded at time t. The functional relationship between x(τ) and y(t) will be written $y = {bar f} x. eqno{hbox{(1)}}$. View full abstract»

• ### Steady-state transmission through networks containing periodically operated switches

Publication Year: 1955, Page(s):17 - 21
Cited by:  Papers (13)
| |PDF (614 KB)

THE GENERAL problem of transmitting signals through linear systems in which one or more parameters vary periodically with time has an extensive literature. One widely used method is based on Fourier series representation of the varying parameters. This leads to an infinite number of simultaneous linear equations expressing the relations between the coefficients in the corresponding Fourier series ... View full abstract»

• ### A time-variable transform and its application to spectral analysis

Publication Year: 1955, Page(s):22 - 25
Cited by:  Papers (4)
| |PDF (503 KB)

THE USE OF integral transforms to solve dynamical problems in physics and engineering has received considerable prominence in the last half century. Integral transforms have, since their usefulness was discovered by Heaviside in the late nineteenth century, gone through the cycle of: (1) rigorization of technique;1, 2 (2) tabulation of many specific transform pairs;3, 4 and (... View full abstract»

• ### Properties of impulsive responses and Green's functions

Publication Year: 1955, Page(s):26 - 31
Cited by:  Papers (6)
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THE INVESTIGATION of general communication systems usually starts by considering a black box, N, with an input u and an output v (see Fig. 1). We express the relation between u and v symbolically by the equation $v = N_u. eqno{hbox{(1)}}$ (1) View full abstract»

• ### Application of complex symbolism to linear variable networks

Publication Year: 1955, Page(s):32 - 35
Cited by:  Papers (6)
| |PDF (516 KB)

THE APPLICATION of complex symbolism to linear fixed networks (i.e. networks governed by linear differential equations with constant coefficients) is effective by virtue of the fact that the principle of superposition is applicable to such networks. The same principle is applicable also to linear variable networks (i.e. networks governed by linear differential equations with coefficients that are ... View full abstract»

• ### Resonance phenomena in time-varying circuits

Publication Year: 1955, Page(s):35 - 41
Cited by:  Papers (1)
| |PDF (812 KB)

ASA logical continuation of the studies of systems with fixed parameters, there has been increasing interest in systems whose parameters are functions either of the dependent variable (nonlinear systems) or of the independent variable (time-varying systems). A general approach to the analysis of time-varying systems is so difficult, that at the present stage of development in this field one is res... View full abstract»

• ### Effect of rectifier capacitances on the conversion loss of ring modulators

Publication Year: 1955, Page(s):41 - 44
| |PDF (469 KB)

THE SMALL-signal theory of rectifier modulators is normally developed by assuming that rectifiers switch periodically from their forward to their backward resistance, neglecting the capacitive component of the backward impedance. Such a resistive theory has been quite invaluable to compare the performance of various circuits and especially to study the effect of selective terminations.1... View full abstract»

• ### An application of analog computers to the statistical analysis of time-variable networks

Publication Year: 1955, Page(s):44 - 49
Cited by:  Papers (3)
| |PDF (691 KB)

IN RECENT years an extensive body of mathematical techniques has been developed for the analysis of the response of linear constant coefficient control systems to stationary random processes as inputs. In many cases it is possible to achieve direct synthesis of the optimum system for an assigned task. For nonstationary inputs or variable coefficient systems, no corresponding theory exists, even th... View full abstract»

• ### The response of linear networks to suddenly applied stationary random noise

Publication Year: 1955, Page(s):49 - 57
Cited by:  Papers (5)
| |PDF (888 KB)

IN RECENT years time-varying circuits have attracted considerable attention in the literature,1 but little seems to have been done2 for those cases in which the input to such circuits is a random one. View full abstract»

• ### Frequency memory in multi-mode oscillators

Publication Year: 1955, Page(s):58 - 66
Cited by:  Papers (14)
| |PDF (1073 KB)

THE BASIC idea of frequency memory is conveniently illustrated by Fig. 1 in which it is assumed that the antiresonant circuits are of comparable selectivity and impedance and are tuned to frequencies that are unrelated but of the same order of magnitude. Oscillation at either f1 or f2 can be initiated by supplying to the input a signal of suitable magnitude and the desired fr... View full abstract»

• ### A mathematical analysis of a series circuit containing periodically varying resistance

Publication Year: 1955, Page(s):67 - 72
Cited by:  Papers (1)
| |PDF (717 KB)

IN RECENT years a great deal of attention has been given to the general theory and performance of circuits the parameters of which are functions of the time. The mathematical analysis of circuits of this type leads to the solution of linear differential equations with variable coefficients. Examples of linear time-varying circuits of practical importance occur in the theory of electrical communica... View full abstract»

• ### Comment on the paper “A mathematical analysis of a series circuit containing periodically varying resistance” by L. A. Pipes

Publication Year: 1955, Page(s):72 - 73
| |PDF (276 KB)

AT FIRST sight, the application of W.K.B. approximation to a time-dependent circuit seems perfectly straightforward. Unfortunately, there are two different and equally plausible ways to apply it to the circuit treated by Pipes, and the two results will generally not agree. The W.K.B. solution of the homogeneous equation (43) contains two arbitrary constants. These can be chosen so that at some par... View full abstract»

• ### A practical method of designing RC active filters

Publication Year: 1955, Page(s):74 - 85
Cited by:  Papers (142)  |  Patents (6)
| |PDF (936 KB)

IN THE FREQUENCY range below about 30 cps, the dissipation factors of available inductors are generally too large to permit the practical design of inductance-capacitance (LC) or resistance-inductance-capacitance (RLC) filter networks. The circuits described in the following pages were developed and collected to provide an alternative method of realizing sharp cut-off filters at very low frequenci... View full abstract»

• ### The potential analog applied to the synthesis of stagger-tuned filters

Publication Year: 1955, Page(s):86 - 96
| |PDF (1350 KB)

Frequency Selectors THE SCIENCE of communications is built on waves, amplifiers, and frequency selectors, the last of these being the subject of this monograph. Half a century ago, the electrical resonator and the wave filter were in their early stages of evolution. As they became more familiar, they merged into a unified philosophy embracing frequency selectors of all kinds, not merely electrical... View full abstract»

• ### Resistance-capacitance filter networks with single-component frequency-control

Publication Year: 1955, Page(s):97 - 102
| |PDF (673 KB)

IN RECENT years resistance-capacitance filters employing the Wein bridge, the parallel-T and other circuits have come into widespread use for the frequency control of oscillators and tuned amplifiers. Normally two or more ganged components are used for this purpose although a single component control has been used in several variants of an oscillator circuit described by Johnson.1–3 View full abstract»

• ### Improved matrix and determinant methods for solving networks

Publication Year: 1955, Page(s):102 - 103
| |PDF (321 KB)
• ### The application of statistical methods to servomechanisms

Publication Year: 1955, Page(s): 103
| |PDF (215 KB)
• ### Rational feedback and equalizer circuits or regulators with prescribed properties

Publication Year: 1955, Page(s): 104
| |PDF (205 KB)
• ### Some passive networks under transient conditions

Publication Year: 1955, Page(s): 104
| |PDF (205 KB)
• ### On the expansion of a network response into a series of orthogonal functions

Publication Year: 1955, Page(s):104 - 105
Cited by:  Papers (2)
| |PDF (364 KB)
• ### Tchebycheff or Chebyshev?

Publication Year: 1955, Page(s): 105
| |PDF (212 KB)