2 edition of **On the convergence of error probabilities for signal detection.** found in the catalog.

On the convergence of error probabilities for signal detection.

Percy A. Pierre

- 65 Want to read
- 40 Currently reading

Published
**1969** by Rand Corp. in Santa Monica, Calif .

Written in

- Signals and signaling.,
- Random noise theory.,
- Gaussian processes.

**Edition Notes**

Series | P (Rand Corporation) -- P-4112.. |

The Physical Object | |
---|---|

Pagination | 7 p. |

ID Numbers | |

Open Library | OL17980355M |

Detection theory or signal detection theory is a means to measure the ability to differentiate between information-bearing patterns (called stimulus in living organisms, signal in machines) and random patterns that distract from the information (called noise, consisting of background stimuli and random activity of the detection machine and of the nervous system of the operator). The Theory of Signal Detection. The theory of signal detecion was developed by mathematicians and engineers in the 's working in the fields of mathematical statistics and electronic communications. Signal detection deals with the detectability of signals and controlling the criterion that are used for the detection of signals. Likelihood ratio/Neyman-Pearson test • For a given false alarm rate P FA, the probability of detection P D is maximized with the likelihood ratio test where the threshold γ is • Assumes that the PDFs p.) are completely known R.W 3. In This work a new basis for representation a low probability of interception (LPI) signal under digital electronic supported measures (ESM) of their detection considered. An analog-to-digital conversation (ADC) noise model and adaptation of ADC and Fourier processors and its criteria established. A way of detection of the LPI signal with unknown parameters presented.

Joint Signal Detection, Channel and Noise Variance Estimation for Vincent Savaux and Yves Louët WAVES SERIES. MMSE-based Algorithm for Joint Signal Detection, Channel and Noise Variance Estimation for OFDM Systems. FOCUS SERIES Series Editor Bernard Dubuisson vi MMSE-based Algorithm for Joint Signal Detection Proposed algorithm.

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book conditions for the uniform convergence of the relative frequencies to probabilities fail to hold. Izvestiya: Mathematics() Forbidden configurations and Steiner by: signal is present even when it is in fact absent. The probability of such a false alarm occurring (mistaking a zero for a one) is P 0 D Z 1 1 p 2ˇ˙ e y˙2/dy: Similarly, the probability of a missed detection (mistaking a one for a zero) is P 1 D Z 1 1 p 2ˇ˙ e.y A/˙2/dy: Letting P0 and P1 be the source digit probabilities of zeros File Size: 46KB.

A 'read' is counted each time someone views a publication summary (such as the title, abstract, and list of authors), clicks on a figure, or views or downloads the full-text. "The book is devoted to a new generalized approach to signal detection theory, both general methods and experimental results with physical systems.

It contains seven chapters. In the first one a brief description of the basic tenets of classical detection theory is given. Cited by: Error-probability noise benefits in threshold neural signal detection Article in Neural networks: the official journal of the International Neural Network Society 22() August In this case, the transmitted signal also experiences an unknown phase shift ϕ.

ϕ is often modeled as a random variable, which is uniformly distributed in the interval File Size: 1MB. SIGNAL DETECTION THEORY ployed. Such statistics might include simple response probabilities, estimates of "thresh-olds," statistics derived from a different para-metric model of signal detection, or non-parametric indexes of signal detection theory.

Some of these alternatives, including non-parametric indexes of signal detection theory. Statistical Theory of Signal Detection, Second Edition provides an elementary On the convergence of error probabilities for signal detection.

book to the theory of statistical testing of hypotheses that is related to the detection of signals in radar and communications technology. This book presents a comprehensive survey of Book Edition: 2. Fig. Signal detection theory models of type 1 and type 2 ROC curves. a Type 1 SDT model.

On each trial, a stimulus generates an internal response x within an observer, who must use x to decide whether the stimulus was S1orS2. For each stimulus type, x is drawn from a normalFile Size: 1MB. In this article a method is presented for evaluating the probability of detecting On the convergence of error probabilities for signal detection.

book a single stuck-fault in a sequential circuit as a function of the number of random input test vectors.

A discrete parameter Markov-model is used in the analysis to obtain closed-form expressions for PD. The circuit is partitioned into three parts, the input and output combinational logic and the by: In attempting to evaluate the probability that at least one member of a multi-man team will detect a signal, one must avoid the assumption that the probabilities of On the convergence of error probabilities for signal detection.

book individual monitors detecting the signal are independent. Such an assumption is probably unjustified, and the use of the multiplicative rule for combining independent probabilities will lead to false conclusions regarding the Cited by: Fig.

shows the PSDs of the HPA output signal, both with and without the predistorters. Without DPD, the good spectral containment of the FBMC signal is completely lost.

The memoryless DPD is already providing a good amount of improvement, whereas the MP and Volterra DPD models give additional 5 and 10 dB of adjacent channel leakage suppression, respectively, over the memoryless.

Biomedical Signal Processing: Preview this book» What people are saying - Write a review. User Review - Flag as inappropriate. Nice Book. A must have a bio-signal processing enthusiastic.

called canceller chapter coefficients complex consider continuous convergence correlation corresponding data compression defined detection Determine. The abacus that follows (Figure 17) may then be used in order to evaluate the minimum value of signal to noise ratio that is necessary to obtain the couple of specifications requested for P d and PFA.

This abacus is meant to be used only for the detection of stationary signals embedded in noise (the signal must not fluctuate from sample to sample), so that the «noise alone» and «signal. Baseband Signal Transmission With Noise () Additive Noise and Signal-to-Noise Ratios Analog Signal Transmission Baseband Pulse Transmission With Noise () Pulse Measurements in Noise Pulse Detection and Matched Filters Chapter 10 Noise in Analog Modulation Systems Bandpass Noise (, ) Introduction to Detection Theory (cont.) We wish to make a decision on a signal of interest using noisy measurements.

Statistical tools enable systematic solutions and optimal design. Application areas include: • Communications, • Radar and sonar, • Nondestructive evaluation (NDE) of materials, • Biomedicine, etc.

Signal detection theory A method of assessing the decision making process for someone who decides between different classes of items and their bias to favor a. Probability, Random Variables, and Random Processes is the only textbook on probability for engineers that includes relevant background material, provides extensive summaries of key results, and extends various statistical techniques to a range of applications in signal by: HIGH SPEED NETWORK: High-speed links are present everywhere in modern computing and routing.

In a personal computer, for instance, they link t. B.F. BACKMAN, in Composite Structures (Second Edition), INITIAL INFORMATION AND UPDATING. The initial information required to complete the design comprises probabilities of damage sizes and probability of detection (inspection technology).

A monitoring process utilizing service and inspection data combined with updating of probability of damage sizes will assure a continually. A special case in which the converse is true is when Xn d → c, where c is a constant. In this case, convergence in distribution implies convergence in probability.

We can state the following theorem: Theorem If Xn d → c, where c is a constant, then Xn p → c. Since X n d → c, we conclude that for any ϵ > 0, we have lim n → ∞ F X n. Rent or buy Random Signals: Detection, Estimation and Data Analysis - presence of white space and the cyclostationary based detection helps in differentiating between a false alarm and the original signal [11].

As computational complexities are added by the cyclostationary detection at low SNR feature detection compensates for those complexities.

0: (primary user absent) y(n) = u(n) n = 1, 2,N (1) 1File Size: KB. Guess signal (or binary 0) was transmitted otherwise Guess signal (or binary 1) was transmitted if the received signal point. falls in region R.

Decision Rule of BPSK Assume that the two signals are equally likely, i.e. s s. Region R 2. Region R 1. 0 Then. For the detection of the signals, maximum a posteriori prob-ability (MAP) decision rule, which minimizes the probability of error, is employed at the receiver.

It is assumed that symbol-by-symbol detection is performed. Using the property that phase-shift keying signals have the same energy, the detection. tenets of Signal Detection Theory, speciﬁcally in the context of detection and discrimination tasks measured by the two-alternative forced-choice (2AFC) paradigm.

The analysis is valid for summation in any stimulus domain, but it will be illustrated with speciﬁc reference to summation in one and two-dimensional spatial vision. Get this from a library. Probability, random variables, and random processes: theory and signal processing applications.

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The POD analysis method described herein is consistent with the analysis method for binary data described in MIL-HDBKA, and is included in several widely utilized POD software packages to perform a POD analysis on hit/miss data.

Classical Signal Detection Example Participant has headphones on with a faint noise. A light goes for one second and the noise at random will get slightly louder or stay the same and the participant must decide if "yes" the sound changed or "no" it stayed the same.

Detection probabilities corresponding to the false-alarm probabilities. For each false-alarm probability in Pfa, Pd contains one column of detection probabilities. SNR. Signal-to-noise ratios in a column vector. By default, the SNR values are equally spaced values between 0 and leading to inaccurate LPI radar signal detection and parameter extraction metrics.

A promising avenue for overcoming these shortfalls is the utilization of the Hough Transform, which is very similar to the Radon transform, and is used,for the detection of straight lines and other curves [BAR95], [BEN05], [ZAI99], [INC07].

The Hough transform of a. signal detection probabilities, state estimation errors, and false alarm rates as functions of the signal parameter.

Variation of x the false alarm cost, which we shall use to derive an important relation between signal detection and false alarm probabilities as functions of the. 9 CONVERGENCE IN PROBABILITY 9 Convergence in probability The idea is to extricate a simple deterministic component out of a random situation.

This is typically possible when a large number of random eﬀects cancel each other out, so some limit is involved. The general situation, then, is the following: given a sequence of random variables,File Size: 84KB.

Binary Signal Detection in AWGN 1 Examples of Signal Sets for Binary Data Transmission In an M-ary data tranmission system there is a collection fsi j0 • i File Size: KB.

This probability question came up in our networking tutorial today, and I'm not entirely happy with the TA's solution, so I was hoping someone here could help out. Background: A single parity bit is added to every n bits in a binary string of length 2n.

In our class, we add the parity bit so. This section of the Signals and Systems book will be talking about probability, random signals, and noise.

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the detection and estimation of received signal by exploiting stochastic resonance effect. Keywords— Probability of error, Joint Binary-input Ternary– output discrete memoryless channels (2, 3) DMC, Probability of false alarm, Stochastic Resonance (SR), threshold (Ɵ),noise power (σ).

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The next video is starting stop. Loading Watch Queue.A ebook signal “1” or ebook is transmitted through a noisy channel, the received data may be different from the signal sent out. Suppose the transmitter sends out “0” with probabilityand “1” with probability When “0” is transmitted, the receiver receives “0” with probabilityand “1” with probability