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Showing papers on "Fading distribution published in 1968"


Journal ArticleDOI
TL;DR: A derivation of the probability of error which arises in 1) adaptive multichannel reception of binary signals and 2) multich channel communication with binary signaling over channels that are characterized by both a specular (nonfading or constant) component and a Rayleigh fading component is presented.
Abstract: In this paper a derivation of the probability of error which arises in 1) adaptive multichannel reception of binary signals and 2) multichannel communication with binary signaling over channels that are characterized by both a specular (nonfading or constant) component and a Rayleigh fading component is presented.

54 citations


Journal ArticleDOI
A. Vigants1
TL;DR: In this article, the authors quantitatively described the reduction of multipath fading on line-of-sight microwave radio-relay links by dual space diversity and provided a fade reduction factor that specifies the improvement provided by space diversity as a function of the vertical separation of the receiving antennas, frequency, path length, and the relative size of the antennas in the diversity pair.
Abstract: The reduction of multipath fading on line-of-sight microwave radio-relay links by dual space diversity is quantitatively described. One of the main results is a fade reduction factor F that specifies the improvement provided by space diversity as a function of the vertical separation of the receiving antennas, frequency, path length, and the relative size of the antennas in the diversity pair. The results are based on a theoretical analysis of recent experimental data.

38 citations


01 Mar 1968
TL;DR: After a brief description of the significance of the radio refractive index and its variation in the lower troposphere, a catalog of fading mechanisms is presented and specific expressions are given for determining the frequency or space separations.
Abstract: After a brief description of the significance of the radio refractive index and its variation in the lower troposphere, a catalog of fading mechanisms is presented. Attention is directed to the supporting refractive index structure, the characteristics of the fading signal, and the available remedies. The phenomena of multipath fading are described, and the theoretical amplitude distributions are presented. Diversity reception (frequency or space) is outlined for reducing the fading due to multipath. Specific expressions are given for determining the frequency or space separations. Successful remedies for microwave fading that are keyed to specific fading mechanisms also constitute a means of measuring the characteristics of the prevailing meteorological conditions. Specific expressions are given to accomplish this for the multipath and diffraction fading mechanisms.

17 citations


01 Nov 1968
TL;DR: In this paper, the relationship between complex covariance and covariances of envelopes of Rician fading communication channels is investigated in the context of RIC fading channels, and the authors show that the relationship can be described as follows:
Abstract: Relationship between complex covariance and covariances of envelopes of Rician fading communication channels

11 citations


Journal ArticleDOI
TL;DR: It is concluded that vertical space diversity provides a very effective tool for combating multipath fading on line-of-sight paths, regardless of the source of the fading.
Abstract: Deep fading on line-of-sight microwave paths is usually a result of multipath interference phenomena. Frequency diversity has been the most common method of protecting against such fading. In the past few years, vertical space diversity has also come into use. This paper discusses its characteristics, methods of determining spacings, and describes some results achieved. It is concluded that vertical space diversity provides a very effective tool for combating multipath fading on line-of-sight paths, regardless of the source of the fading.

10 citations


Journal ArticleDOI
TL;DR: In this article, the error rate of an FM discriminator-low-pass filter detector for non-selective fading in additive Gaussian noise was investigated. But the results were not extended to the case of Rayleigh fading and an alternating mark-space sequence.
Abstract: The calculation of the error rate resulting from the detection of a binary FSK signal using an FM discriminator-lowpass filter detector is described for an FM signal undergoing nonselective fading in additive Gaussian noise. The results extend the error rate calculations of Schilling et al. [1], [2] which were performed for a nonfading channel. While the technique employed is quite general, examples considering Rayleigh fading and an alternating mark-space sequence are given. Following a CCIR recommendation for Rayleigh fading, the percentage of time that the signal envelope is below a minimum level is ignored, since in this case the circuit would be completely cut off or switched to a better path. Thus, the results also depend on the depth of fade or ratio of the minimum signal amplitude squared to the average carrier power. The use of diversity is studied, and the error rate for a discriminator using predetection combining diversity is found. In this case the possibility of infinitely deep fades is considered. The analysis is based on the work of Nelson[9], [14], who considered signal-to-noise ratio performance of an FM discriminator with an analog FM signal undergoing nonselective fading. Experimental results are shown to verify the theory.

10 citations


Journal ArticleDOI
TL;DR: Various structures have recently been obtained for optimally demodulating analog signals transmitted over a noisy, randomly fading channel and an analysis of the maximum a posteriori receiver does in fact indicate that for this nonlinear receiver, the fading error can be made to approach zero.
Abstract: Various structures have recently been obtained for optimally demodulating analog signals transmitted over a noisy, randomly fading channel. Their performance, in a least mean-signal error sense, is evaluated in this paper. In the case of the optimum linear filter for AM (or equivalent baseband) signals, as the carrier-to-noise ratio increases indefinitely, an irreducible error is found. The Cramer-Rao (lower) bound on the error is found and indicates, however, that the fading error can be reduced to zero by use of a nonlinear receiver. An analysis of the maximum a posteriori receiver, utilizing estimates of the channel fading characteristics, does in fact indicate that for this nonlinear receiver, the fading error can be made to approach zero. Similar considerations are found to apply in the case of PM signals.

5 citations


Journal ArticleDOI
A.R. Kaye1
01 Jun 1968
TL;DR: In this paper, the optimum linear receiver for the reception of PAM signals over a dispersive, randomly time-varying channel which causes intersymbol interference has been described for a wide-sense stationary channel.
Abstract: The optimum linear receiver is described for the reception of PAM signals over a dispersive, randomly time-varying channel which causes intersymbol interference. For a wide-sense stationary channel the receiver is relatively simple. The results also apply to the reception of multiplexed signals where the modulation scheme is linear.

5 citations


Journal ArticleDOI
TL;DR: A scheme for monitoring performance of a frequency-shift-keyed transmission over a selectively fading channel with a nonfading component is treated and an asymptotically unbiased estimate of error probability is obtained.
Abstract: A scheme for monitoring performance of a frequency-shift-keyed (FSK) transmission over a selectively fading channel with a nonfading component is treated. The design of the monitoring scheme is based heavily on the assumption that the received signal and additive noise are Gaussian. The monitoring requires no special test signal. An asymptotically unbiased estimate of error probability is obtained in terms of four measurements of the received signal. The measurement time required for a reliable estimate of error probability is determined.

4 citations


Journal ArticleDOI
TL;DR: The case of dependent and nondependent fluctuations is considered, and an exact estimation of the channel parameters is presumed, and fluctuations of energy in the specular branches are taken into account.
Abstract: The expression for the error probability of reception of binary signals in a Rician channel has been stated. In general, the expression is difficult to compute. That is why only two opposite cases were computed (no fluctuations in any branches, and the case when the specular component was absent). This paper considers the case of dependent and nondependent fluctuations, and an exact estimation of the channel parameters is presumed. Also fluctuations of energy in the specular branches are taken into account.

1 citations


01 Jan 1968
TL;DR: Sunde model of troposcatter channel as transmission medium in computer simulation of adaptive digital communication scheme for selective fading channels.
Abstract: Sunde model of troposcatter channel as transmission medium in computer simulation of adaptive digital communication scheme for selective fading channels