Accumulator DSP register, 1372
ADC chip, 883
Additive Gaussian noise (AGN), 449
All-poles, 1387
Allpass filters, 1283
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, 1255
Autocorrelation function, 769
AWGN, 1013

Bandform transformation, 1282
Bandpass systems, 61
Bandwidth definitions, 1254
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, 1254
Bilinear transformation, 1297, 1299
Bin (DFT/FFT), 1126
Bin (histogram), 916
Bin-centered signal, 1126
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, 1247
Bridge taps, 1389

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, 1220
Circular random variable, 782
Circularly symmetric, 782
Circularly-symmetric Complex Gaussian, 438
Code rate, 140
Codebook, 972
Codec, 132
Coding gain, 667
Coefficients, transform, 1062
Colored noise, 424
Complex envelope, 345
Complex-valued signals, 909
Constellation, 131
Contraction, 892
Convolution, 1202
Correlation, 1000
Correlation coefficient, 1001
Correlative decoding, 272
Correlative demodulation, 460
Covariance, 773, 1001
Cramér-Rao bound, 806
Critically-sampled signal, 1236
Cross-correlation, 1012
Cursor, 276, 497
Cursor time, 498
Cyclic convolution, 1220
Cyclic frequency, 784

D transform, 1169
dBc, 829
Decay rate, 1242
Decoding (quantization), 985
Decorrelation, 811, 1500
Detection theory, 616
Detector, 141
DFT bin, 1126
Difference equation, 1197
Differentially-decoded sequence, 220
Differentiator, 1345
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, 1055
Double-sided bandwidth, 1254
Downsampler, 1378
DSP, 1046
Dual-Tone Multi-Frequency (DTMF), 1517
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, 1087
FFT bin, 1126
Field programmable gate array (FPGA), 883
Filter design, 1266
Filter memory, 1358
Filter realization, 1266, 1357
Filter tap, 503
Filter Visualization Tool (Matlab), 1283
Filters, 1198
Fixed-point representation, 988
Flat top window, 1522
Flat-fading channel, 432
Flat-top window, 1411
Floating-point representation, 994
Folding frequency, 1128
Forward error correction (FEC), 140
Fractional bandwidth, 1258
Frame-based processing, 904
Free-space path loss, 74
Frequency estimation, 1405
Frequency offset, 15, 550
Frequency response, 1196, 1210
Frequency scaling, 1280
Frequency-selective channel, 425, 1391
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, 1261
Gaussian Minimum-Shift Keying, 592
General Packet Radio Service (GPRS), 592
Gibbs phenomenon, 1099
GMSK, 592
Goertzel algorithm, 1497
GPRS, 592
Granular region of a quantizer, 976
Gray code, 149
Group delay, 1259
GSM burst, 593
GSM frame, 593
GSM multiframes, 593

Halfband filters, 1283
Hamming window, 1410
Hann window, 1410
Harmonics, 1106
Hermitian symmetry, 1008, 1108
Heterodyning, 4
Histogram, 916
Homodyne, 41

i. i. d. random process, 775
IF sampling, 377
Image frequency, 47
Imaging due to upsampling, 1377
Impedance scaling, 1282
Impulses, 897
Initial value theorem, 1167
Inner product, 1055
Insertion frequency response, 833
Insertion loss, 831
Interference, 422
Interference signal, 63
Intermodulation distortion, 7
Interpolation, 943
Intersymbol interference (ISI), 481
Inverse transform, 1062
IQ sampling, 374
ISI-channel model, 481

Kaiser window, 1411

Leakage, spectrum, 1183
Least significant bit (LSB), 975
Least-squares FIR design, 1345
Least-squares system identification, 515
Levinson-Durbin algorithm, 1512
Likelihood, 622
Likelihood function, 920
Line codes, 227
Line-of-sight (LOS), 73
Linear constant-coefficient difference equation (LCCDE), 1197
Linear modulation, 214
Linear predictive coding, 814, 1500
Link budget, 70
Link margin, 71
Lossless operation, 887
Lossy operation, 884
LTI Gaussian channel, 425

Matched filter, 457
Matched Z-transform, 1155
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, 1373
Mixer, 4
MMSE estimator, 807
Modified periodogram, 1475
Monic signal, 1503
Monte Carlo simulation, 637
Monte Carlo simulations, 301
Moore-Penrose pseudoinverse, 733
Multiple input/multiple output (MIMO), 1195
Multirate processing, 1374
Multivariate signal, 880

Natural frequency, 1200, 1242
Noise, 422
Noise factor, 80
Noise figure (NF), 80
Noise floor, 62, 1482
Noise signal, 63
Notch filter, 1290
Numerically controlled oscillator (NCO), 568
Nyquist frequency, 968, 1076, 1128
Nyquist pulse, 422, 483, 485, 489
Nyquist sampling, 1236
Nyquist zone, 1234

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, 976
Oversampling, 939
Oversampling factor, 191, 939

Parametric modeling, 1279
Partial fraction decomposition, 707
Passband sampling, 1231
Path loss, 70
PCM, 1029
Periodic convolution, 1220
Periodogram, 1475
Perpendicular, 1058
PGA, 56
Phase noise, 574
Phase offset, 15, 550
Phase splitter, 363
Phase-shift keying (PSK), 203
Physical layer, 152
Picket-fence effect, 1428
PID controller, 1321, 1342
PLL phase transfer function, 574
Polarization (antenna), 73
Pole-zero placement, 1289
Postcursor, 497
Power spectral density (PSD), 1405
Power spectrum, 1405
PPM (pulse-position modulation), 381
Pre-warping, 1323
Pre-warping in bilinear transformation, 1323
Precursor, 497
Prediction error, 1500
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, 1282
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, 1252
Quantization, 971
Quantization error, 973
Quantization noise, 1018
Quantization SNR, 1020
Quantizer, 971
Quasi-periodic, 928

Ramp signal, 1153
Real-valued signals, 909
Reciprocal of a complex number, 1373
Reconstruction (signal), 943
Rect function, 900
Rectangle method, 720, 1027
Reflected transfer function, 1505
Region of convergence (ROC), Laplace transform, 1145
Repetition code, 140
Residue, 1363
Resolution BW (RBW), 117
Ripple in frequency response, 1272
RMS value, 935
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, 936
Sampling theorem, 950
Saturation region of a quantizer, 976
Scaling and shifting, 891
Scalloping loss, 1416, 1432
Scheduler, in GR, 858
Second order sections (SOS), 1362
Sensitivity, 71
SER (symbol error rate), 148
Shannon-Whittaker interpolation formula, 1226
Short-time Fourier transform, 1515
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), 1195
SNR, 64
Spectral efficiency, 334
Spectral factorization, 1502
Spectral flatness measure, 812
Spectral-correlation density function (SCD), 311
Spectrogram, 1516
Spectrum, 1109
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, 1524
Symbol recovery, 145
Symbols in digital communication, 131
Symmetric SQ QAM, 631
System function, 1196

Tap (filter), 1344
Thermal noise, 62
Time advance and delay rules, 891
Time constant (system), 1241
Time shift, 891
Timing recovery, 145
Tone, 537
Transfer function, 1196
Truncation, 972
Tustin’s bilinear method, 1297
Twiddle factor, 1083

Unbalanced constellation, 783
Unbiased estimator, 806
Uncorrelated random variables, 1002
Undersampling, 1231
Unilateral Laplace transform, 1154
Unilateral spectrum, 1112
Union bound, 630
Unitary DFT, 1075
Unitary matrix, 1063
Upconversion (frequency), 57
Upsampler, 1374

Variable-gain amplifier (VGA), 35
Vector quantization, 1174
Voronoi regions, 617

Wavelets, 1089
White Gaussian noise (WGN), 1010
White signal, 1010
Whitened matched filter, 457
Whittaker-Shannon interpolation formula, 1226
Wiener-Khinchin theorem, 1451
Window shift, 906

Yule-Walker equations, 1512

Zero-padding, 1007, 1127, 1173
Zeros and poles, 1148