Index

Accumulator DSP register, 1376
ADC chip, 883
Additive Gaussian noise (AGN), 449
All-poles, 1391
Allpass filters, 1287
Almost periodic, 932
Almost-periodic signals, 939
Amplitude-shift keying (ASK), 203
Analog communication systems, 131
Analog front end, 87
Analog signal, 881
Analytic signal, 361, 1259
Autocorrelation function, 769
AWGN, 1017

Bandform transformation, 1286
Bandpass systems, 61
Bandwidth definitions, 1258
Baseband systems, 61
Baseband-equivalent channel, 378
Bauds, 132
Bayes error, 620
Bayes’ theorem, 623
Beacon, 117
BER (bit error rate), 148, 296
Bias of an estimator, 806
Bilateral bandwidth, 1258
Bilinear transformation, 1301, 1303
Bin (DFT/FFT), 1130
Bin (histogram), 920
Bin-centered signal, 1130
Bits per channel use (bpcu), 535
Blind estimation, 514
Blind signal analysis, 319
Block error rate (BLER), 150
Block, in GR, 857
Block-based processing, 908
Bode diagram, 1251
Bridge taps, 1393

Carrier, 7
Carrier-to-noise density ratio, 69
Channel capacity, 534
Channel coding, 140
Channel dispersion, 172
Channel use, 263
Chunks in GR, 293
Circulant matrix, 689
Circular convolution, 1224
Circular random variable, 782
Circularly symmetric, 782
Circularly-symmetric Complex Gaussian, 438
Code rate, 140
Codebook, 976
Codec, 132
Coding gain, 667
Coefficients, transform, 1066
Colored noise, 424
Complex envelope, 345
Complex-valued signals, 914
Constellation, 131
Contraction, 896
Convolution, 1206
Correlation, 1004
Correlation coefficient, 1005
Correlative decoding, 272
Correlative demodulation, 460
Covariance, 773, 1005
Cramér-Rao bound, 806
Critically-sampled signal, 1240
Cross-correlation, 1016
Cursor, 276, 497
Cursor time, 498
Cyclic convolution, 1224
Cyclic frequency, 784

D transform, 1173
dBc, 829
Decay rate, 1246
Decoding (quantization), 989
Decorrelation, 811, 1504
Detection theory, 616
Detector, 141
DFT bin, 1130
Difference equation, 1201
Differentially-decoded sequence, 220
Differentiator, 1349
Digital communication system, 128, 131
Digital down-converter (DUC), 121
Digital signal, 881
Digital signal processor (DSP), 883
Digital up-converter (DUC), 121
Dilation, 896
Direct-conversion receiver, 41
Directivity, 72
DMT symbol, 663
Dot product, 1059
Double-sided bandwidth, 1258
Downsampler, 1382
DSP, 1050
Dual-Tone Multi-Frequency (DTMF), 890
Duplexing, 61
Dynamic range, 981

EDGE, 592
EIRP - equivalent isotropically radiated power, 72
Electrocardiogram (ECG), 880
Ensemble average, 1008
Envelope detection, 16
Equivalent AWGN, 455
Ergodic, 777
Ergodicity, 1008
Estimation theory, 805
Estimator, 805
Even and odd parts of a signal, 917
Even signal, 917
EVM - Error vector magnitude, 158

FFT algorithms, 1091
FFT bin, 1130
Field programmable gate array (FPGA), 883
Filter design, 1270
Filter memory, 1362
Filter realization, 1270, 1361
Filter tap, 503
Filter Visualization Tool (Matlab), 1287
Filters, 1202
Fixed-point representation, 992
Flat top window, 1525
Flat-fading channel, 432
Flat-top window, 1415
Floating-point representation, 998
Folding frequency, 1132
Forward error correction (FEC), 140
Fractional bandwidth, 1262
Frame-based processing, 909
Free-space path loss, 74
Frequency estimation, 1409
Frequency offset, 15, 550
Frequency response, 1200, 1214
Frequency scaling, 1284
Frequency-selective channel, 425, 1395
Frequency-selective system, 428
Frequency-shift keying (FSK), 203, 381
Friis formula for noise factor, 91
Friis transmission equation, 73
Fundamental period, 927

Gang tuning, 52
Gaussian filter, 1265
Gaussian Minimum-Shift Keying, 592
General Packet Radio Service (GPRS), 592
Gibbs phenomenon, 1103
GMSK, 592
Goertzel algorithm, 1501
GPRS, 592
Granular region of a quantizer, 980
Gray code, 149
Group delay, 1263
GSM burst, 593
GSM frame, 593
GSM multiframes, 593

Halfband filters, 1287
Hamming window, 1414
Hann window, 1414
Harmonics, 1110
Hermitian symmetry, 1012, 1112
Heterodyning, 4
Histogram, 920
Homodyne, 41

i. i. d. random process, 775
IF sampling, 377
Image frequency, 47
Imaging due to upsampling, 1381
Impedance scaling, 1286
Impulses, 901
Initial value theorem, 1171
Inner product, 1059
Insertion frequency response, 833
Insertion loss, 831
Interference, 422
Interference signal, 63
Intermodulation distortion, 7
Interpolation, 947
Intersymbol interference (ISI), 481
Inverse transform, 1066
IQ sampling, 374
ISI-channel model, 481

Kaiser window, 1415

Leakage, spectrum, 1187
Least significant bit (LSB), 979
Least-squares FIR design, 1349
Least-squares system identification, 515
Levinson-Durbin algorithm, 1516
Likelihood, 622
Likelihood function, 924
Line codes, 227
Line-of-sight (LOS), 73
Linear constant-coefficient difference equation (LCCDE), 1201
Linear modulation, 214
Linear predictive coding, 814, 1504
Link budget, 70
Link margin, 71
Lossless operation, 891
Lossy operation, 884
LTI Gaussian channel, 425

Matched filter, 457
Matched Z-transform, 1159
Matched-filter bound, 468
Maximum a posteriori (MAP), 621
Maximum length sequence, 519
Maximum likelihood (ML), 621
Memoryless channel, 435
MER - Modulation error ratio, 158
Mid-riser quantizer, 203
Mid-tread quantizer, 203
Minimum phase, 525
Minimum-phase systems, 1377
Mixer, 4
MMSE estimator, 807
Modified periodogram, 1479
Monic signal, 1507
Monte Carlo simulation, 637
Monte Carlo simulations, 301
Moore-Penrose pseudoinverse, 733
Multiple input/multiple output (MIMO), 1199
Multirate processing, 1378
Multivariate signal, 880

Natural frequency, 1204, 1246
Noise, 422
Noise factor, 80
Noise figure (NF), 80
Noise floor, 62, 1486
Noise signal, 63
Notch filter, 1294
Numerically controlled oscillator (NCO), 568
Nyquist frequency, 972, 1080, 1132
Nyquist pulse, 422, 483, 485, 489
Nyquist sampling, 1240
Nyquist zone, 1238

Odd signal, 917
Offset binary output coding, 990
Open-loop transfer function, 575
Orthogonal modulation, 381
Outlier, 981
Overall pulse response, 481
Overload region of a quantizer, 980
Oversampling, 943
Oversampling factor, 191, 943

Parametric modeling, 1283
Partial fraction decomposition, 707
Passband sampling, 1235
Path loss, 70
PCM, 1033
Periodic convolution, 1224
Periodogram, 1479
Perpendicular, 1062
PGA, 56
Phase noise, 574
Phase offset, 15, 550
Phase splitter, 363
Phase-shift keying (PSK), 203
Physical layer, 152
Picket-fence effect, 1432
PID controller, 1325, 1346
PLL phase transfer function, 574
Polarization (antenna), 73
Pole-zero placement, 1293
Postcursor, 497
Power spectral density, 887
Power spectral density (PSD), 1409
Power spectrum, 1409
PPM (pulse-position modulation), 381
Pre-warping, 1327
Pre-warping in bilinear transformation, 1327
Precursor, 497
Prediction error, 1504
Preselector filter, 49
Probability density function, 758
probability density function, 921
Probability mass function, 758
probability mass function, 921
Proper random variable, 780
Prototype filter, 1286
Pseudoinverse, 516, 733
PWM (pulse-width modulation), 381

QAM, 129
Quadrature (signal), 914
Quadrature amplitude modulation (QAM), 336
Quadrature demodulation, 377
Quadrature sampling, 374, 915
Quality factor, 1256
Quantization, 975
Quantization error, 977
Quantization noise, 1022
Quantization SNR, 1024
Quantizer, 975
Quasi-periodic, 932

Ramp signal, 1157
Real-valued signals, 914
Reciprocal of a complex number, 1377
Reconstruction (signal), 947
Rect function, 905
Rectangle method, 720, 1031
Reflected transfer function, 1509
Region of convergence (ROC), Laplace transform, 1149
Repetition code, 140
Residue, 1367
Resolution BW (RBW), 117
Ripple in frequency response, 1276
RMS value, 939
Roll-off of a raised cosine, 501
Room temperature, 62
Rounding, 976

Sampled signal, 915
Sampled to discrete-time (S/D) conversion, 945
Samples per second (SPS), 891
Sampling, 940
Sampling theorem, 954
Saturation region of a quantizer, 980
Scaling and shifting, 895
Scalloping loss, 1420, 1436
Scheduler, in GR, 858
Second order sections (SOS), 1366
Sensitivity, 71
SER (symbol error rate), 148
Shannon-Whittaker interpolation formula, 1230
Short-time Fourier transform, 1519
Sign extension, 991
Signal, 880
Signal constellation, 265
Signal regeneration, 156
Signal space, 263
Signal to interference plus noise ratio (SINR), 67
Signal to noise ratio, 64
Signal-to-noise ratio, 292, 885
Signal-to-noise ratio (SNR), 1018
Signal-to-quantization-noise ratio, 885
Signaling bandwidth, 69
Single input/single output (SISO), 1199
SNR, 64
Spectral efficiency, 334
Spectral factorization, 1506
Spectral flatness measure, 812
Spectral-correlation density function (SCD), 311
Spectrogram, 1520
Spectrum, 1113
Square-root raised cosine (RRC), 508
Standard Gaussian, 920
Stationarity, 774
Stride, 910
Subcarrier, 537
Superheterodyne, 44
Superheterodyne receiver, 41
Superposition, 846
Support (signal), 897
Support of a PDF, 925
Switched-capacitor filters, 1526
Symbol recovery, 145
Symbols in digital communication, 131
Symmetric SQ QAM, 631
System function, 1200

Tap (filter), 1348
Thermal noise, 62
Time advance and delay rules, 895
Time constant (system), 1245
Time shift, 895
Timing recovery, 145
Tone, 537
Transfer function, 1200
Truncation, 976
Tustin’s bilinear method, 1301
Twiddle factor, 1087

Unbalanced constellation, 783
Unbiased estimator, 806
Uncorrelated random variables, 1006
Undersampling, 1235
Unilateral Laplace transform, 1158
Unilateral spectrum, 1116
Union bound, 630
Unitary DFT, 1079
Unitary matrix, 1067
Upconversion (frequency), 57
Upsampler, 1378

Variable-gain amplifier (VGA), 35
Vector quantization, 1178
Voronoi regions, 617

Wavelets, 1093
White Gaussian noise (WGN), 1014
White signal, 1014
Whitened matched filter, 457
Whittaker-Shannon interpolation formula, 1230
Wiener-Khinchin theorem, 1455
Window shift, 910

Yule-Walker equations, 1516

Zero-padding, 1011, 1131, 1177
Zeros and poles, 1152