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IRE Transactions on Information Theory

Issue 4 • Date December 1956

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Displaying Results 1 - 12 of 12
  • Applications of information theory (Edtl.)

    Publication Year: 1956, Page(s): 101
    Cited by:  Papers (1)
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  • On the Shannon theory of information transmission in the case of continuous signals

    Publication Year: 1956, Page(s):102 - 108
    Cited by:  Papers (98)
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  • On noise stability of a system with error-correcting codes

    Publication Year: 1956, Page(s):109 - 115
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (994 KB)

    The problem posed in this paper is to give a relation connecting the noise stability of a communication system in which error-correcting codes are used to the parameters of these codes. The amount x of code combinations is found, which differ from each other by not less than a given number of elements for a given arrangement of all the possible combinations. ... View full abstract»

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  • Two inequalities implied by unique decipherability

    Publication Year: 1956, Page(s):115 - 116
    Cited by:  Papers (44)  |  Patents (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (236 KB)

    Consider a list of b words, each word being a string of letters from a given fixed alphabet of a letters. If every string of words drawn from this list, when written out in letters without additional space marks to separate the words, is uniquely decipherable, then begin{equation} a^{-l_1} + a^{-l_2} + cdots + a^{-l_b} leq... View full abstract»

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  • A note on the maximum flow through a network

    Publication Year: 1956, Page(s):117 - 119
    Cited by:  Papers (79)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (387 KB)

    This note discusses the problem of maximizing the rate of flow from one terminal to another, through a network which consists of a number of branches, each of which has a limited capacity. The main result is a theorem: The maximum possible flow from left to right through a network is equal to the minimum value among all simple cut-sets. This theorem is applied to solve a more general problem, in w... View full abstract»

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  • Rectification of two signals in random noise

    Publication Year: 1956, Page(s):119 - 124
    Cited by:  Papers (4)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (650 KB)

    The spectrum of the output of a half-wave rectifier is derived for an input which is the sum of random noise and two sinusoidal signals of different frequencies. The method used is the characteristic function method described by Rice. The components of the output spectrum are given as infinite series of hypergeometric functions. If both the input signals .are small compared with the noise, it is s... View full abstract»

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  • Optimum detection of random signals in noise, with application to scatter-multipath communication--I

    Publication Year: 1956, Page(s):125 - 135
    Cited by:  Papers (71)  |  Patents (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (1278 KB)

    Solutions are obtained in open form for the optimum, probability-computing detector of either Gaussian signals, or known signals transmitted via scatter-paths, where the signals have been further perturbed by additive white Gaussian noise. The optimum receiver operates on the received waveforms with filter-functions and biasing constants determined by pairs of inhomogeneous and homogeneous integra... View full abstract»

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  • A coincidence procedure for signal detection

    Publication Year: 1956, Page(s):135 - 139
    Cited by:  Papers (30)  |  Patents (2)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (551 KB)

    A coincidence method of detecting signal in the presence of noise is compared to the statistically optimum Neyman-Pearson procedure utilizing signal integration and threshold detection. In this coincidence procedure a specified number of the fixed group of successive pulses are required to exceed a voltage threshold level. The analysis is carried out for the case of constant-amplitude signals only... View full abstract»

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  • Some general aspects of the sampling theorem

    Publication Year: 1956, Page(s):139 - 146
    Cited by:  Papers (28)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (956 KB)

    The sampling theorem is recognized as an interpolation formula. Starting from the Lagrange Polynomial, this theorem is developed under conditions which are of broader applicability than those usually stated. Such a view point indicates the essential unity of temporal and frequency domain application. It will also be shown that the theorem is applicable as an exact interpolation formula throughout ... View full abstract»

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  • The axis-crossing intervals of random functions

    Publication Year: 1956, Page(s):146 - 150
    Cited by:  Papers (20)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (639 KB)

    For an arbitrary random processxi(t)there exists a functionx(t)which may be obtained by infinite clipping. The axis crossings ofx(t)are identical with those ofxi(t). This paper relates the probability densityP(tau)of axis-crossing intervals togamma(tau), the autocorrelation function ofx(t), i.e., the autocorrelation after... View full abstract»

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  • Determination of redundancies in a set of patterns

    Publication Year: 1956, Page(s):151 - 153
    Cited by:  Papers (4)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (363 KB)

    A set of black-and-white patterns can be identified by successive sampling of the individual "cells" which constitute these patterns. If the number of patterns is P and the number of cells is C , it is possible to find, for any specified sampling sequence at least C - P + 1 cells which ... View full abstract»

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  • Correction to 'Optimum. Linear, Discrete Filtering of Signals containing a nonrandom component'

    Publication Year: 1956, Page(s): 154
    Cited by:  Papers (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (130 KB)

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Aims & Scope

This Transactions ceased production in 1962. The current retitled publication is IEEE Transactions on Information Theory.

Full Aims & Scope