Detection, Estimation, and Modulation Theory: Detection, by Harry L. Van Trees

By Harry L. Van Trees

Content material:
Chapter 1 advent (pages 1–18):
Chapter 2 Classical Detection and Estimation concept (pages 19–165):
Chapter three Representations of Random tactics (pages 166–238):
Chapter four Detection of Signals—Estimation of sign Parameters (pages 239–422):
Chapter five Estimation of constant Waveforms (pages 423–466):
Chapter 6 Linear Estimation (pages 467–622):
Chapter 7 dialogue (pages 623–633):

Show description

Read or Download Detection, Estimation, and Modulation Theory: Detection, Estimation, and Linear Modulation Theory PDF

Similar signal processing books

Survivability and Traffic Grooming in WDM Optical Networks

The arrival of fiber optic transmission platforms and wavelength department multiplexing has ended in a dramatic raise within the usable bandwidth of unmarried fiber platforms. This booklet presents particular assurance of survivability (dealing with the danger of wasting huge volumes of site visitors facts because of a failure of a node or a unmarried fiber span) and site visitors grooming (managing the elevated complexity of smaller person requests over excessive ability info pipes), either one of that are key matters in glossy optical networks.

Principles of Semiconductor Network Testing (Test & Measurement)

This ebook gathers jointly complete info which try out and procedure pros will locate worthy. The recommendations defined may also help make sure that try tools and information accumulated mirror real equipment functionality, instead of 'testing the tester' or being misplaced within the noise ground. This booklet addresses the basic concerns underlying the semiconductor attempt self-discipline.

Opportunistic Spectrum Sharing and White Space Access: The Practical Reality

Info the paradigms of opportunistic spectrum sharing and white area entry as powerful ability to fulfill expanding call for for high-speed instant communique and for novel instant conversation functions This publication addresses opportunistic spectrum sharing and white area entry, being really aware of useful issues and options.

From photon to pixel : the digital camera handbook

The camera conceals impressive technological recommendations that impact the formation of the picture, the colour illustration or computerized measurements and settings. ** From photon to pixel photon ** describes the equipment either from the perspective of the physics of the phenomena concerned, as technical parts and software program it makes use of.

Additional resources for Detection, Estimation, and Modulation Theory: Detection, Estimation, and Linear Modulation Theory

Sample text

The signal s(t) is a known function with energy E, T ES = s”(t) dt, (26) s0 and w(t) is a sample function from a zero-mean random process with a covariance function : &St, u> = No 2 8(t-u). (27) We are concerned with the output of the system at time T. The output due to the signal is a deterministic quantity: so(T) = T h(r) s(T - r) dr. s0 (28) Structured Approach 13 The output due to the noise is a random variable: c,(T) = T h(r) n(T - 7) dr. s0 We can define the output signal-to-noise s, (29 ratio at time T as so2(T) (30) N - E[no2(T)f where E(e) denotes expectation.

A case in which this is not true is illustrated in Example 2. Example 2. Several different physical situations lead to the mathematical model of interest in this example. The observations consist of a set of N values: rl, y2, r3, . , rN* Under both hypotheses, the ri are independent, identically distributed, zero-mean Gaussian random variables. Under HI each rr has a variance a12. Under Ho each ri has a variance o02. Because the variables are independent, the joint density is simply the product of the individual densities.

Values of R where the two terms are equal have no effect on the cost and may be assigned arbitrarily. We shall assume that these points are assigned to H1 and ignore them in our subsequent discussion. Thus the decision regions are defined by the statement: If assign R to Z1 and consequently say that H1 is true. Otherwise assign R to Z. and say Ho is true. Alternately, we may write p,,,,(RIH,) ">'~OWlO - p,l~,(RlH,) H

Download PDF sample

Rated 4.63 of 5 – based on 46 votes