Sophisticated Signals and the Uncertainty Principle in Radar

This book is devoted to some of the problems encountered in the theory of sophisticated signals used in radar. The term sophisticated signal is under­ stood to mean a signal for which the product of the signal duration by the spectrum width substantially exceeds unity. Although it is impossible to d...

Full description

Main Author: Vakmann, D.E.
Corporate Author: SpringerLink (Online service)
Other Authors: Jacobs, E. (Editor)
Format: eBook
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1968, 1968
Edition:1st ed. 1968
Series:Applied Physics and Engineering, An International Series
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 1. Pulse Compression Signals
  • [1] Optimal Reception of Signals-Matched Filter
  • [2] Response of a Pulsed Signal to a Matched Filter-Correlation Method
  • [3] Optimal Reception of Frequency-Modulated Pulse Signals
  • [4] Compression Ratio
  • [5] Spectrum Compression
  • [6] Admissible Errors in the Frequency — (Phase-) Modulation Law for Systems with Pulse Compression
  • [7] Formation of Sophisticated Signals
  • 2. The Uncertainty Principle
  • [8] The Woodward Ambiguity Function
  • [9] Examples
  • [10] Some Properties of Ambiguity Functions—The Radar Uncertainty Principle
  • [11] Analogy with Quantum Physics
  • [12] Uncertainty Principle of Quantum Physics
  • [13] Other Forms of the Uncertainty Relationship
  • [14] Resolution and Selectivity of a Linear Measuring Device
  • [15] Resolution of Spectral Analysis
  • [16] Measurement of Instantaneous Frequency
  • [17] The Generalized Ambieuitv Function
  • 3. The Ambiguity Function in the Statistical Theory of Radar
  • [33] Statistical Synthesis of PM Signals
  • [34] Synthesis of FM Signals from Two Cross Sections of the Ambiguity Function
  • [35] Rotation of the Ambiguity Function
  • [36] FM Signals with Uniform Side Lobes in the t,?-Plane
  • [37] Approximate Synthesis Method from the Magnitude and Phase of an Arbitrary Ambiguity Function
  • [38] Generalization of Synthesis from the Magnitude of an Ambiguity Function
  • Appendices
  • Appendix 1. Spectra of Wide-Band FM Signals Approximated by the Stationary Phase Method
  • Appendix 2. Calculation of Phase Measurement Errors
  • Appendix 3. Estimate of Amplitude Distribution for a Signal with Random Initial Phase
  • Appendix 4. Determination of the Dolph-Chebyshev Autocorrelation Function and the Corresponding Power Spectra
  • Appendix 5. Spheroidal Functions
  • References
  • Author Index
  • [18] Sampling Space
  • [19] Principle of Maximum Likelihood
  • [20] The Ambiguity Function in Relation to Resolution
  • [21] The Ambiguity Function in Relation to the Measured Parameters
  • [22] Radar Observations and Measurements in Relation to General Physics
  • 4. Synthesis of Signals Using Ambiguity Functions
  • [23] Some Remarks on Signal Synthesis
  • [24] Classes of Signals and Autocorrelation Functions—Statement of the Synthesis Problem
  • [25] Synthesis of the Autocorrelation Function from its Magnitude and Phase at Discrete Points
  • [26] Synthesis of the Autocorrelation Function from its Magnitude
  • [27] Optimal Autocorrelation Functions—Linear Approximation
  • [28] Optimal Autocorrelation Functions—Quadratic Approximation
  • [29] Synthesis of Autocorrelation Functions Given Over a Bounded Time Interval
  • [30] Comparison of Optimal Power Spectra
  • [31] Synthesis of FM Signals from Given Power Spectra
  • [32] Phase-Modulated Signals