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Diss / (Springer Series in Information Sciences 25) S. Haykin, J. Litva, T. J. Shepherd (auth.), Professor Simon Haykin, Dr. John Litva, Dr. Terence J. Shepherd (eds.)-Radar Array Processing-Springer-Verlag

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Eigenproblem, generalized

72

Eigenvalue

119

 

 

- analysis

228

 

 

Eigenvector

119

 

 

- two-dimensional (20)

271

End-element-clamped 159, 160

Energy management

48

 

Error probabilities

67

 

Error-feedback algorithm

172

ESPRIT algorithm

72

 

Expected maximization (EM) algorithm 126

Exponential

 

-

deweighting

236

-

time window

160, 161

Fast Givens algorithm see Givens rotations

Fast Kalman algorithm

175, 180

 

 

 

Fisher information matrix (FIM)

113

 

Forget factor

160

 

 

 

 

 

 

 

 

Forward-backward

 

 

 

 

 

 

 

 

-

averaging

 

57

 

 

 

 

 

 

 

 

 

-

linear prediction (FBLP)

 

59, 69

 

 

Fourier transform

 

 

 

 

 

 

 

 

-

discrete

86

 

 

 

 

 

 

 

 

 

-

fast (FFT)

86

 

 

 

 

 

 

 

 

Frequency

 

 

 

 

 

 

 

 

 

 

 

-

estimation

86

 

 

 

 

 

 

 

 

-

modulation 91

 

 

 

 

 

 

 

 

Frobenius norm

112

 

 

 

 

 

 

 

 

Frozen mode

185, 187, 195, 196,206

 

Gain

159, 193, 198, 211, 220, 227

 

 

-

vector 194

 

 

 

 

 

 

 

 

 

Gauss normal equation

161, 164

 

 

 

Gauss-Newton method

126, 128

 

 

 

Gaussian process

174, 180

 

 

 

 

 

General monopulse formula

54

 

 

 

 

Generalized likelihood ratio

 

12,13,20,23,27,

 

36

 

 

 

 

 

 

 

 

 

 

 

 

-

test (GLRT)

23, 29, 133, 134

 

 

 

Generalized log-likelihood ratio

 

31,41

 

Gentleman-Kung see array

 

 

 

 

 

 

Givens

 

 

 

 

 

 

 

 

 

 

 

 

-

fast

172

 

 

 

 

 

 

 

 

 

 

 

-

rotations

 

157, 164-166, 167, 168, 169, 173,

 

176,

178,

179,

184,

185,

187,

192,

195,

204,

 

207, 208, 209, 215, 221, 227, 232, 233

 

Glint errors

 

50

 

 

 

 

 

 

 

 

 

GLRT see generalized likelihood ratio

 

Gradient descent

154, 218

 

 

 

 

 

 

Gram-Schmidt

231

 

 

 

 

 

 

 

 

-

modified

 

153, 172, 185,229-232

 

 

-

procedure

71

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Subject Index

313

-

recursive modified (RMGS)

232

 

Grating lobe problem

84

 

 

Hadamard product

114

 

 

Hidden units

222, 232

 

 

Hilbert space

153

 

 

 

Householder transformations

164

 

Howells-Applebaum algorithm

251

 

-

two-dimensional (20) 268

 

 

Hyperbolic rotations

226,235-241

 

Hypotheses

 

 

 

 

 

-

nested

79

 

 

 

 

 

-

testing

79

 

 

 

 

 

Identifiability of parameters 107

 

Ill-conditioning

162, 163, 179, 227

 

Imaging

 

1

 

 

 

 

 

In-phase (I) 211, 227, 308

 

 

Information theoretic

 

 

 

-

tests

67

 

 

 

 

 

-

criteria

80

 

 

 

 

 

Information filter

228

 

 

Initialization

132

 

 

 

Instability

295

 

 

 

 

Interferometer

301,303

 

 

Internal cells (nodes)

166, 168, 171, 172, 182,

 

185,204,207, 209,221,260

 

 

Inverse

synthetic aperture radar (ISAR)

51,

 

87,301, 302

 

 

 

 

 

Iterative quadratic ML (lQML) see maximum likelihood

J-orthogonal rotation

238

 

 

 

Jacobi rotations

228

 

 

 

 

 

Jamming

154, 155, 174,213,227

 

 

Joint estimator

 

221

 

 

 

 

 

Kalman filter

49, 228

 

 

 

 

Kogbetliantz transformations

228

 

 

Kumaresan and Tufts method

59, 69, 88, 93

Kung-Gentleman see array

 

 

 

Lattice

222

 

 

 

 

 

 

 

-

multichannel, 221, 222

 

 

 

 

Least-squares

153, 156, 157, 163, 164, 166,

 

166,

167,

173,

175,

188,

190,

192,

200,

218,

 

219, 222, 223, 225, 230, 236

 

 

 

-

constrained

190, 195,

197,

198,

201,

218,

 

233

 

 

 

 

 

 

 

 

 

-

fast

221

 

 

 

 

 

 

 

 

-

fit 222

 

 

 

 

 

 

 

 

-

formulation

 

160-163

 

 

 

 

-

minimization

 

155, 192, 221, 229, 234

 

-

weighted

120, 173, 185,228,235-241

 

314 Subject Index

Least-squares lattice 175, 227

-

algorithm

180,221

 

Levenburg-Marquardt

126

Lexicographic ordering

269

Likelihood

 

 

-

function

8, 11, 21, 76

-

ratio test

65, 67, 79

 

Linear prediction 58, 70, 221, 227

LMS (least mean squares) algorithm 154,251

-

two-dimensional (2D)

266

Log-likelihood

 

 

 

-

function

112

 

 

-

variable

180

 

 

Look direction

159, 196, 198, 200, 201

-

constraint see constraint

Low angle tracking

75, 84, 93

Low sidelobe

86

 

 

Lower triangular matrix

176

Main beam nulling

50

 

Marple method

59

 

 

Matched filter

52, 88, 90

 

Matrix

 

 

 

 

-

banded

227

 

 

 

-

rectangular

182, 184, 195

-

trapezoidal

183, 193, 195,235

-

triangular 166, 167, 168, 180, 196,202,205,

 

215,216, 227, 236, 239

 

-unitary see unitary

-weighting see weighting Maximum likelihood (ML)

-deterministic (DML) 108, 112, 111-113, 116-117,125,128

-estimate 13, 15,20,22,30,53,56,66,91,94,

 

115

 

 

-

iterative quadratic (lQML) 126

-

method

38, 108

 

-

method based on

39

-

principle

73

 

-

pseudo

24, 25, 26, 28, 30, 34, 35, 36, 37, 65

-

stochastic (SML)

108, 109-111, 127-128

-

true 27,73

 

Maximum entropy (ME) 59, 88, 93

Method of direction estimation (MODE) 118

Metric tensor 238

 

 

Minimum description length (MDL)

15, 133

- criterion

59, 67, 80

 

 

Minimum risk estimate

56

 

Minimum

variance distortionless

response

(MVDR)

157, 200-209, 215

 

Model order selection

15

 

- problem

32, 42

 

 

Modified Gram-Schmidt (MGS) algorithm see Gram-Schmidt

Monopulse

 

-

estimation

52, 53

-

ratio 54, 78

Monostatic radar see radar

Motion compensation 88

Multichannel

221

Multidimensional interpolation 224 Multifunction operation 48

Multipath

119

- anti-phase

50

Multipath error 49

Multiple alternative hypothesis testing 14, 31, 41

Multiple constraints see constraints

MUSIC algorithm

65, 74, 88, 93, 118, 125

-

estimator

 

121

 

 

 

 

-

root

72

 

 

 

 

 

 

 

MVDR

see

minimum

variance

distortionless

 

response

 

 

 

 

 

 

 

Narrow-band

220, 221

 

 

Narrowband signals

103

 

 

Network

 

 

 

 

 

 

 

 

-

fixed (frozen)

181-185, 186, 187, 192,215

-

rectangular

182, 183

 

 

-

trapezoidal

183,

194, 195

 

 

-

triangular

 

183, 192

 

 

 

Neural networks

222

 

 

 

Newton-type methods

78, 126, 127

Noise cancellation

153

 

 

Noncoherent radar detection

16, 133-137

-

of emitters with unknown directions,

 

deterministic signal

22-28

 

-

of emitters with unknown directions,

 

Gaussian signal

28-33

 

 

-

of targets of known directions

17-22

Nonlinear

 

 

 

 

 

 

 

-

adaptive filter

157, 225

 

 

-:: least-squares

112

 

 

 

Nonstationary

 

228

 

 

 

 

Normal equation see Gauss

 

 

Null space

119, 197

 

 

 

Null tracker

 

79

 

 

 

 

 

-

double

80

 

 

 

 

 

 

Null-steering

 

153

 

 

 

 

Numerical accuracy see accuracy

 

Numerical stability see stability

 

Nyquist sampling theorem

I

 

Observation model

4-6

 

 

Open loop

155

 

 

 

 

 

Orthogonal decomposition

163, 193,202,226,

 

227, 228

 

 

 

 

 

 

 

Orthogonal

triangularization see orthogonal

decomposition

 

Orthogonality errors

85

Oscillator, local 295

 

Parallel

 

 

- processing

155

 

weight (vector) extraction 157, 169,215-218,

220,225

 

 

Parallelogram network

215, 216

Parametric target model fitting (PTMF) 73,91

Passive radar detection

33-43

 

-

deterministic signal 35-40

 

-

of emitters with known directions

33-35

-

Gaussian signal

40-43

 

Perceptron

222, 224

 

 

Phase

 

 

 

 

 

-

conjugation

298

 

 

-

detector

295

 

 

 

-

error 295, 296, 304, 305, 309

 

-

modulation

91

 

 

 

Phased array

295, 296

 

 

-

radar, ELRA

92

 

 

Pipelined

201,221,225,227

 

Pisarenko method

72

 

 

Polyphase codes

91

 

 

Post-detection validation

93

 

Post-processor

157, 215, 226

 

Power inversion

158, 159

 

Pre-processor

157, 159,

173, 192,

194, 195,

 

198, 199, 223, 226,235

 

 

-constraint see constraint Pre-whitening 64, 76 Prediction filter vector 58 Prediction schemes 61 Primary

-channel 159, 161, 191, 194, 218, 219,220,

 

222

 

 

 

-

input

188

 

-

signal

158,

160, 162

Processor see array

Projection

 

 

-

alternating

 

132

-

decomposition lemma 77

-

Hung-Turner (HT) 67

-

matrix

65, 74

-

methods

65

 

-

operators

229

-

Yeh-Brandwood 69

Prony method

77

Pseudoinverse

223

QR decomposition (QRD, QRDLS) 71, 92, 153, 156, 157, 163-175, 178, 185, 187, 189,

 

 

 

 

 

 

 

 

 

Subject Index

315

 

193,

195,

197,

200,

201,

202,

204,

205,

215,

 

216,

218,

219,

221,

222,

223,

225,

226,

227,

 

228,229, 231, 232, 233, 234, 236, 251

 

-

by Givens rotations

163-175

 

 

QR iterations

228

 

 

 

 

 

 

QR-with feedback

218-220

 

 

 

Quadrature (Q)

 

211, 227, 308

 

 

 

Quiescent beam

 

 

 

 

 

 

 

 

-

profile

200

 

 

 

 

 

 

 

 

 

-

shape

198

 

 

 

 

 

 

 

 

 

Radar, monostatic

301

 

 

 

 

Radial basis function (RBF) 223

 

 

Radio camera

 

295, 301, 307, 309

 

 

Range

 

 

 

 

 

 

 

 

 

 

 

 

-

bin

297, 305

 

 

 

 

 

 

 

 

-

estimation

90

 

 

 

 

 

 

Range-Doppler ambiguity

91

 

 

 

Rayleigh

 

 

 

 

 

 

 

 

 

 

 

-

amplitudes

75

 

 

 

 

 

 

-

distribution

 

17

 

 

 

 

 

 

-

estimate

 

62

 

 

 

 

 

 

 

 

 

Real arithmetic

 

227

 

 

 

 

 

Reference signal

 

158, 159

 

 

 

-

channel

 

161, 304

 

 

 

 

 

 

Residual

157,

 

160,

161,

175,

178,

179,

188,

 

215, 224, 227, 235, 236

 

 

 

 

-

a posteriori

 

 

175, 180, 187, 188, 191, 194,

 

201,202,204,234,235

 

 

 

 

-

a priori

 

175,189

 

 

 

 

 

 

-

constrained

 

194

 

 

 

 

 

 

-

extraction see direct residual extraction

 

-

least-squares

 

 

168,

169, 180

 

 

 

-

rationalized

 

180

 

 

 

 

 

 

-

vector

164,189,190,191,197,198,201,207,

 

221,223,227,234,236

 

 

 

 

Right-hand column

 

1,66, 167, 168, 173, 178,

 

181,

185,

187, 189, 198, 204, 209, 219, 224

Sample matrix inversion (SMI)

173, 174, 175,

 

251

 

 

 

 

 

 

 

 

 

 

 

 

Schreiber's algorithm

201-204

 

 

 

Schur product

 

 

114

 

 

 

 

 

 

Scoring method

 

127, 130

 

 

 

 

Self-calibrating antennas

85

 

 

 

Sequential detector

48

 

 

 

 

Sequential multi-hypotheses test

80

 

 

Serial weight flushing

169

 

 

 

Sidelobe

158,295, 306, 307, 308

 

 

-

cancellation

 

158, 160

 

 

 

 

-

generalized - canceller 196-200

 

 

Signal

 

 

 

 

 

 

 

 

 

 

 

 

-

demodulated

 

 

296

 

 

 

 

 

-

fading

50

 

 

 

 

 

 

 

 

 

316

 

Subject Index

 

 

 

 

Signal flow graph

181, 182, 183, 192, 194,224

Signal and noise model

 

 

 

 

-

for noncoherent radar detection

16-17

-

for passive radar detection

33

 

 

Signal to noise ratio

174, 213, 307

 

 

Signal subspace methods

64

 

 

 

Simple array see array

 

 

 

 

 

Singular values

163,228

 

 

 

 

Singular value decomposition (SVD)

71,228

Skew (time-, temporal ciock-) see clock

 

SMI see sample matrix inversion

 

 

SML see maximum likelihood

 

 

 

Spatial processing

I

 

 

 

 

 

Spatial smoothing

57

 

 

 

 

Sphericity test

65

 

 

 

 

 

 

Square-root-free

185, 187, 189, 192, 196,207,

 

232,233

 

 

 

 

 

 

 

 

-

algorithm

169-175,179,180,184,185,195,

 

208,209,235,240,241,262

 

 

 

Stability

227

 

 

 

 

 

 

 

-

numerical

179, 203, 228

 

 

 

Standard monopulse formulas

55

 

 

Steering vector

52

 

 

 

 

 

 

Stochastic approximation

83

 

 

 

-

methods

78

 

 

 

 

 

 

 

Stochastic Newton method 78

 

 

Sub-residual

188, 189

 

 

 

 

Subarray

188, 250

 

 

 

 

 

 

Subarraying

247

 

 

 

 

 

 

Subspace

1I8

 

 

 

 

 

 

 

-

fitting

129

 

 

 

 

 

 

 

-

noise

 

119, 120

 

 

 

 

 

 

-

signal

119

 

 

 

 

 

 

 

Superarray

84

 

 

 

 

 

 

 

Superresolution

1, 48

 

 

 

 

Swerling II target

19

 

 

 

 

 

-

fluctuating target model

17, 19,22

 

Synthetic aperture radar (SAR)

51, 87

 

Systolic

168,210,211,221,222,228,229,236

-

array

153,155-157, 166, 168, 171, 172, 175,

 

178,

179,

181,

186,

195,

200,

201,

204,

207,

 

209, 210, 213, 225,226, 249

 

 

 

-

Kalman filtering

218

 

 

 

 

-

McWhirter 71,92

 

 

 

 

 

-

processor

71, 197,227

 

 

 

 

-

structure

153

 

 

 

 

 

 

-

triangular see array

 

 

 

 

 

Target complex amplitude

52

 

 

 

Target location

160

 

 

 

 

 

Target power estimation

94

 

 

 

Test-bed

157, 210-215

 

 

 

 

Thermal noise

174

 

 

 

 

 

 

Thermal noise algorithm

62

 

 

 

Three-dimensional (3D) systolic structure 278 Threshold tests 60

Time-staggered see ciock Time-staggered 207 Toeplitz structure 57 Track processor 49 Tracking 160 Triangular

-array see array

-matrix see matrix Triangulation 50 TWAP

-triangular WAP see WAP Two-dimensional

-

adaptive beamforming 249

-

antenna arrays 226

-eigenvector beam see eigenvector

-Howells-Applebaum see Howells-Applebaum

-LMS algorithm see LMS

-

modelling MEjAR 61

-

prediction 61

-

Wiener-Hopf equation 267

Unambiguous

-array see array

-parameterization 107 Unconditional stability 179 Uncorrelated targets 85

Uniform linear array (ULA) 104, 106, 129-130 Uniformly most powerful test (UMP) 10 Unitary

-matrix 163, 164, 165, 166, 188, 193, 203, 216,231,234

-transformation 163, 165

Upper triangular 165, 232

-

matrix

163, 164, 169, 177, 181, 185

-

unit 171, 185

Vandermonde

-

matrix

129, 196

-

vectors

105

VLSI (very large scale integration)

155, 156

Wavefront array see array

 

 

 

 

Wavefront array processor (WAP)

210-215

Weight freezing

180-189

 

 

 

 

Weight flushing

180-189,220

 

 

 

Weight

158, 304

 

 

 

 

 

-

optimum (least-squares)

157, 162, 164, 166,

 

173,

174,

175,

178,

179,

185,

187,

190,

194,

 

204, 215, 218, 219, 230

 

 

 

 

-

vector 154, 159,

161,

162,

164,

168,

169,

 

174,

175,

180,

181,

185,

186,

189,

190,

191,

Weight (continued)

192, 193, 194, 197, 215, 223, 234, 236, 298, 305

Weighted least-squares see least-squares Weighted subspace fitting (WSF) 118, 125,

130, 132, 135 - detection 136

 

 

 

Subject Index

317

Weighting matrix

236

 

White noise test

66, 80, 83

 

Window functions

86

 

-

Hamming 86

 

 

-

Hanning

86

 

 

-

Parzen

86

 

 

WSF see weighted subspace fitting