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Detection, Estimation modulation theory part 1 - Vantress H.

Vantress H. Detection, Estimation modulation theory part 1 - Wiley & sons , 2001. - 710 p.
ISBN 0-471-09517-6
Download (direct link): sonsdetectionestimati2001.pdf
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Comparison for infinite-bandwidth channel of
continuous modulation schemes with the bound
Bandlimited message and bandlimited channel
Comparison of optimum FM with bound
Comparison of simple companding schemes with
Summary of analog message transmission and continuous
waveform estimation
664 Appendix: A Typical Course Outline
Chapter -3 3.2.1
Lecture 26
Gaussian signals in Gaussian noise
Simple binary problem, white Gaussian noise on H0 and Hu additional colored Gaussian noise on Hx
Derivation of LRT using Karhunen-Loeve expansion
Various receiver realizations Estimator-correlator Filter-squarer
Structure with optimum realizable filter as component (this discussion is most effective when Lectures 20-22 are included; it should be mentioned, however, even if they were not studied) Computation of bias terms Performance bounds using fx(s) and tilted probability densities (at this point we must digress and develop the material in Section 2.7 of Chapter 1-2).
Interpretation of fi(s) in terms of realizable filtering errors
Example: Structure and performance bounds for the case in which additive colored noise has a one-pole spectrum
Lecture 27 665
Lecture 27
3.2.2 General binary problem
Derive LRT using whitening approach
Eliminate explicit dependence on white noise
Derive fi(s) expression
Symmetric binary problems
Pr(e) expressions, relation to Bhattacharyya distance
Inadequacy of signal-to-noise criterion
666 Appendix: A Typical Course Outline
Lecture 28
Chapter -3 Special cases of particular importance
3.2.3 Separable kernels
Time diversity
Frequency diversity
Eigenfunction diversity
Optimum diversity
3.2.4 Coherently undetectable case
Receiver structure
Show how fx(s) degenerates into an expression in
volving d2
3.2.5 Stationary processes, long observation times
Simplifications that occur in receiver structure
Use the results in Lecture 26 to show when these
approximations are valid
Asymptotic formulas for n(s)
Example: Do same example as in Lecture 26
Plot PD versus kT for various E/N0 ratios and
Pr s
Find the optimum kT product (this is continuous
version of the optimum diversity problem)
Assign remainder of Chapter II-3 (Sections 3.3-3.6) as reading
Lecture 29 667
Lecture 29
Chapter -4 Radar-sonar problem
4.1 Representation of narrow-band signals and processes
Typical signals, quadrature representation, complex
signal representation. Derive properties: energy,
correlation, moments; narrow-band random pro
cesses; quadrature and complex waveform repre
sentation. Complex state variables
Possible target models; develop target hierarchy in Fig.
4.2 Slowly-fluctuating point targets
System model
Optimum receiver for estimating range and Doppler
Develop time-frequency autocorrelation function
and radar ambiguity function
Examples: Rectangular pulse
Ideal ambiguity function
Sequence of pulses
Simple Gaussian pulse
Effect of frequency modulation on the signal
ambiguity function
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