Digital Filters Design for Signal and Image Processing

INDEX

A

ARMA model 42

attenuation 104, 106, 110, 116, 118, 125

autocorrelation 12, 14, 44, 63, 90

B

band

attenuated 113, 165-168

transition 171

Bessel 126-132, 155, 268, 269

bidimensional Fourier 234

Butterworth 104, 106-112, 125

C

cascade structure 209, 219, 220

Cauer 125, 126

causality 17, 324

Chebyshev 113-115, 121, 123, 125

convolution 30, 242, 279

circular 253, 255, 256

criterion

Chauchy 22

Jury's 49-50

Routh's 48-49

Schur-Cohn 298, 355

D

delay

group 128, 143, 183

phase 128

development

Fourierseries 56, 68, 144

Laurent serial 35

diagram

amplitude and phase 94

amplitude and phase frequential 95

of poles and zeros 48, 180

difference equation 39, 139, 173

E

effects

aliasing 240

border 285

circularity 257

energy

finite 51, 57

of the signal 12

F

filters

Gaussian 274, 280, 282, 283

high-pass 164

infinite impulse response 173

low-pass 5, 99, 100, 103, 104, 125, 139, 159, 168

separable 244

slot 209

zero-loss 178

finite impulse response 137-139, 142, 147, 152, 159, 192, 212

function

gate 59

MFM 129

transfer 21, 39, 41, 42, 46, 47, 51, 94-97, 103, 121, 128, 130, 135, 138, 151

frequency

cut-off 99, 100, 110, 118, 120, 123

normalized 103, 115

response 104, 114, 147, 159, 161, 199, 212, 213

I, L

indicial response 92, 93

implementation 243

impulse response 16-18, 41, 44, 45, 92, 96, 140, 144, 160, 161, 240, 242, 248-250

infinite impulse response 173, 174, 183, 192, 213

intercorrelation (function) 12, 13, 44

invariance

impulse response 184

indicial response 185

linear phase 126, 142-144 ...