Accumulator DSP register, 1373
ADC chip, 883
Additive Gaussian noise (AGN), 449
All-poles, 1388
Allpass filters, 1284
Almost periodic, 928
Almost-periodic signals, 935
Amplitude-shift keying (ASK), 203
Analog communication systems, 131
Analog front end, 87
Analog signal, 881
Analytic signal, 361, 1256
Autocorrelation function, 769
AWGN, 1013

Bandform transformation, 1283
Bandpass systems, 61
Bandwidth definitions, 1255
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, 1255
Bilinear transformation, 1298, 1300
Bin (DFT/FFT), 1127
Bin (histogram), 916
Bin-centered signal, 1127
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, 904
Bode diagram, 1248
Bridge taps, 1390

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, 1221
Circular random variable, 782
Circularly symmetric, 782
Circularly-symmetric Complex Gaussian, 438
Code rate, 140
Codebook, 971
Codec, 132
Coding gain, 667
Coefficients, transform, 1063
Colored noise, 424
Complex envelope, 345
Complex-valued signals, 909
Constellation, 131
Contraction, 892
Convolution, 1203
Correlation, 1000
Correlation coefficient, 1001
Correlative decoding, 272
Correlative demodulation, 460
Covariance, 773, 1001
Cramér-Rao bound, 806
Critically-sampled signal, 1237
Cross-correlation, 1012
Cursor, 276, 497
Cursor time, 498
Cyclic convolution, 1221
Cyclic frequency, 784

D transform, 1170
dBc, 829
Decay rate, 1243
Decoding (quantization), 985
Decorrelation, 811, 1501
Detection theory, 616
Detector, 141
DFT bin, 1127
Difference equation, 1198
Differentially-decoded sequence, 220
Differentiator, 1346
Digital communication system, 128, 131
Digital down-converter (DUC), 121
Digital signal, 881
Digital signal processor (DSP), 883
Digital up-converter (DUC), 121
Dilation, 892
Direct-conversion receiver, 41
Directivity, 72
DMT symbol, 663
Dot product, 1056
Double-sided bandwidth, 1255
Downsampler, 1379
DSP, 1047
Dual-Tone Multi-Frequency (DTMF), 1518
Duplexing, 61
Dynamic range, 977

EDGE, 592
EIRP - equivalent isotropically radiated power, 72
Electrocardiogram (ECG), 880
Ensemble average, 1004
Envelope detection, 16
Equivalent AWGN, 455
Ergodic, 777
Ergodicity, 1004
Estimation theory, 805
Estimator, 805
Even and odd parts of a signal, 913
Even signal, 913
EVM - Error vector magnitude, 158

FFT algorithms, 1088
FFT bin, 1127
Field programmable gate array (FPGA), 883
Filter design, 1267
Filter memory, 1359
Filter realization, 1267, 1358
Filter tap, 503
Filter Visualization Tool (Matlab), 1284
Filters, 1199
Fixed-point representation, 987
Flat top window, 1523
Flat-fading channel, 432
Flat-top window, 1412
Floating-point representation, 994
Folding frequency, 1129
Forward error correction (FEC), 140
Fractional bandwidth, 1259
Frame-based processing, 904
Free-space path loss, 74
Frequency estimation, 1406
Frequency offset, 15, 550
Frequency response, 1197, 1211
Frequency scaling, 1281
Frequency-selective channel, 425, 1392
Frequency-selective system, 428
Frequency-shift keying (FSK), 203, 381
Friis formula for noise factor, 91
Friis transmission equation, 73
Fundamental period, 922

Gang tuning, 52
Gaussian filter, 1262
Gaussian Minimum-Shift Keying, 592
General Packet Radio Service (GPRS), 592
Gibbs phenomenon, 1100
GMSK, 592
Goertzel algorithm, 1498
GPRS, 592
Granular region of a quantizer, 975
Gray code, 149
Group delay, 1260
GSM burst, 593
GSM frame, 593
GSM multiframes, 593

Halfband filters, 1284
Hamming window, 1411
Hann window, 1411
Harmonics, 1107
Hermitian symmetry, 1008, 1109
Heterodyning, 4
Histogram, 916
Homodyne, 41

i. i. d. random process, 775
IF sampling, 377
Image frequency, 47
Imaging due to upsampling, 1378
Impedance scaling, 1283
Impulses, 897
Initial value theorem, 1168
Inner product, 1056
Insertion frequency response, 833
Insertion loss, 831
Interference, 422
Interference signal, 63
Intermodulation distortion, 7
Interpolation, 943
Intersymbol interference (ISI), 481
Inverse transform, 1063
IQ sampling, 374
ISI-channel model, 481

Kaiser window, 1412

Leakage, spectrum, 1184
Least significant bit (LSB), 975
Least-squares FIR design, 1346
Least-squares system identification, 515
Levinson-Durbin algorithm, 1513
Likelihood, 622
Likelihood function, 920
Line codes, 227
Line-of-sight (LOS), 73
Linear constant-coefficient difference equation (LCCDE), 1198
Linear modulation, 214
Linear predictive coding, 814, 1501
Link budget, 70
Link margin, 71
Lossless operation, 887
Lossy operation, 884
LTI Gaussian channel, 425

Matched filter, 457
Matched Z-transform, 1156
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, 1374
Mixer, 4
MMSE estimator, 807
Modified periodogram, 1476
Monic signal, 1504
Monte Carlo simulation, 637
Monte Carlo simulations, 301
Moore-Penrose pseudoinverse, 733
Multiple input/multiple output (MIMO), 1196
Multirate processing, 1375
Multivariate signal, 880

Natural frequency, 1201, 1243
Noise, 422
Noise factor, 80
Noise figure (NF), 80
Noise floor, 62, 1483
Noise signal, 63
Notch filter, 1291
Numerically controlled oscillator (NCO), 568
Nyquist frequency, 968, 1077, 1129
Nyquist pulse, 422, 483, 485, 489
Nyquist sampling, 1237
Nyquist zone, 1235

Odd signal, 913
Offset binary output coding, 986
Open-loop transfer function, 575
Orthogonal modulation, 381
Outlier, 977
Overall pulse response, 481
Overload region of a quantizer, 975
Oversampling, 938
Oversampling factor, 191, 938

Parametric modeling, 1280
Partial fraction decomposition, 707
Passband sampling, 1232
Path loss, 70
PCM, 1028
Periodic convolution, 1221
Periodogram, 1476
Perpendicular, 1059
PGA, 56
Phase noise, 574
Phase offset, 15, 550
Phase splitter, 363
Phase-shift keying (PSK), 203
Physical layer, 152
Picket-fence effect, 1429
PID controller, 1322, 1343
PLL phase transfer function, 574
Polarization (antenna), 73
Pole-zero placement, 1290
Postcursor, 497
Power spectral density (PSD), 1406
Power spectrum, 1406
PPM (pulse-position modulation), 381
Pre-warping, 1324
Pre-warping in bilinear transformation, 1324
Precursor, 497
Prediction error, 1501
Preselector filter, 49
Probability density function, 758
probability density function, 917
Probability mass function, 758
probability mass function, 917
Proper random variable, 780
Prototype filter, 1283
Pseudoinverse, 516, 733
PWM (pulse-width modulation), 381

QAM, 129
Quadrature (signal), 910
Quadrature amplitude modulation (QAM), 336
Quadrature demodulation, 377
Quadrature sampling, 374, 911
Quality factor, 1253
Quantization, 971
Quantization error, 973
Quantization noise, 1017
Quantization SNR, 1019
Quantizer, 971
Quasi-periodic, 928

Ramp signal, 1154
Real-valued signals, 909
Reciprocal of a complex number, 1374
Reconstruction (signal), 943
Rect function, 900
Rectangle method, 720, 1026
Reflected transfer function, 1506
Region of convergence (ROC), Laplace transform, 1146
Repetition code, 140
Residue, 1364
Resolution BW (RBW), 117
Ripple in frequency response, 1273
RMS value, 934
Roll-off of a raised cosine, 501
Room temperature, 62
Rounding, 972

Sampled signal, 911
Sampled to discrete-time (S/D) conversion, 941
Samples per second (SPS), 887
Sampling, 935
Sampling theorem, 949
Saturation region of a quantizer, 975
Scaling and shifting, 891
Scalloping loss, 1417, 1433
Scheduler, in GR, 858
Second order sections (SOS), 1363
Sensitivity, 71
SER (symbol error rate), 148
Shannon-Whittaker interpolation formula, 1227
Short-time Fourier transform, 1516
Sign extension, 987
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), 1014
Signal-to-quantization-noise ratio, 885
Signaling bandwidth, 69
Single input/single output (SISO), 1196
SNR, 64
Spectral efficiency, 334
Spectral factorization, 1503
Spectral flatness measure, 812
Spectral-correlation density function (SCD), 311
Spectrogram, 1517
Spectrum, 1110
Square-root raised cosine (RRC), 508
Standard Gaussian, 915
Stationarity, 774
Stride, 906
Subcarrier, 537
Superheterodyne, 44
Superheterodyne receiver, 41
Superposition, 846
Support (signal), 892
Support of a PDF, 920
Switched-capacitor filters, 1525
Symbol recovery, 145
Symbols in digital communication, 131
Symmetric SQ QAM, 631
System function, 1197

Tap (filter), 1345
Thermal noise, 62
Time advance and delay rules, 891
Time constant (system), 1242
Time shift, 891
Timing recovery, 145
Tone, 537
Transfer function, 1197
Truncation, 972
Tustin’s bilinear method, 1298
Twiddle factor, 1084

Unbalanced constellation, 783
Unbiased estimator, 806
Uncorrelated random variables, 1002
Undersampling, 1232
Unilateral Laplace transform, 1155
Unilateral spectrum, 1113
Union bound, 630
Unitary DFT, 1076
Unitary matrix, 1064
Upconversion (frequency), 57
Upsampler, 1375

Variable-gain amplifier (VGA), 35
Vector quantization, 1175
Voronoi regions, 617

Wavelets, 1090
White Gaussian noise (WGN), 1010
White signal, 1010
Whitened matched filter, 457
Whittaker-Shannon interpolation formula, 1227
Wiener-Khinchin theorem, 1452
Window shift, 906

Yule-Walker equations, 1513

Zero-padding, 1007, 1128, 1174
Zeros and poles, 1149