Accumulator DSP register, 1026
ADC chip, 16
All-poles, 1070
Allpass filters, 852
Almost periodic, 116
Almost-periodic signals, 131
Analog signal, 6
Analytic signal, 795
Autocorrelation function, 1501
AWGN, 294

Bandform transformation, 851
Bandwidth definitions, 794
Bias of an estimator, 1587
Bilateral bandwidth, 794
Bilinear transformation, 865, 870
Bin (DFT/FFT), 513
Bin (histogram), 98
Bin-centered signal, 513
Block-based processing, 61
Bode diagram, 785
Bridge taps, 1076

Circular convolution, 727
Codebook, 221
Coefficients, transform, 406
Complex-valued signals, 72
Contraction, 34
Convolution, 698
Correlation, 270
Correlation coefficient, 270
Covariance, 271, 1515
Cramér-Rao bound, 1587
Critically-sampled signal, 755
Cross-correlation, 293
Cyclic convolution, 727
Cyclic frequency, 1538

D transform, 599
dBc, 1608
Decay rate, 767
Decoding (quantization), 257
Decorrelation, 1316, 1593
DFT bin, 513
Difference equation, 680
Differentiator, 955
Digital signal, 6
Digital signal processor (DSP), 16
Dilation, 34
Dot product, 397
Double-sided bandwidth, 794
Downsampler, 1042
DSP, 366
Dual-Tone Multi-Frequency (DTMF), 1347
Dynamic range, 237

Electrocardiogram (ECG), 5
Ensemble average, 276
Ergodic, 1522
Ergodicity, 276
Estimation theory, 1586
Estimator, 1586
Even and odd parts of a signal, 81
Even signal, 81

FFT algorithms, 444
FFT bin, 513
Field programmable gate array (FPGA), 16
Filter design, 824
Filter memory, 983
Filter realization, 824, 982
Filter Visualization Tool (Matlab), 852
Filters, 681
Fixed-point representation, 1638
Flat top window, 1361
Flat-top window, 1142
Floating-point representation, 1651
Folding frequency, 518
Fractional bandwidth, 800
Frame-based processing, 61
Frequency estimation, 1129
Frequency response, 677, 710
Frequency scaling, 849
Frequency-selective channel, 1080
Fundamental period, 111

Gaussian filter, 809
Gibbs phenomenon, 467
Goertzel algorithm, 1310
Granular region of a quantizer, 230
Group delay, 801

Halfband filters, 852
Hamming window, 1141
Hann window, 1141
Harmonics, 477
Hermitian symmetry, 285, 481
Histogram, 98

i. i. d. - Independent and identically distributed, 370
i. i. d. random process, 1517
Imaging due to upsampling, 1042
Impedance scaling, 851
Impulses, 48
Initial value theorem, 580
Inner product, 397
Insertion frequency response, 1615
Insertion loss, 1611
Interpolation, 153
Inverse transform, 406

Kaiser window, 1142

Leakage, spectrum, 636
Least significant bit (LSB), 230
Least-squares FIR design, 955
Levinson-Durbin algorithm, 1331
Likelihood function, 109
Linear constant-coefficient difference equation (LCCDE), 680
Linear predictive coding, 1316, 1595
Lossless operation, 25
Lossy operation, 17

Matched Z-transform, 569
Minimum-phase systems, 1027
MMSE estimator, 1587
Modified periodogram, 1262
Monic signal, 1322
Moore-Penrose pseudoinverse, 1443
Multiple input/multiple output (MIMO), 676
Multirate processing, 1035
Multivariate signal, 5

Natural frequency, 687, 767
Noise floor, 1281
Notch filter, 858
Nyquist frequency, 212, 426, 518
Nyquist sampling, 755
Nyquist zone, 753

Odd signal, 81
Offset binary output coding, 261
Outlier, 237
Overload region of a quantizer, 230
Oversampling, 139
Oversampling factor, 139

Parametric modeling, 848
Partial fraction decomposition, 1408
Passband sampling, 740
PCM, 321
Periodic convolution, 727
Periodogram, 1262
Perpendicular, 399
Picket-fence effect, 1188
PID controller, 913, 950
Pole-zero placement, 858
Power spectral density (PSD), 1129
Power spectrum, 1129
Pre-warping, 914
Pre-warping in bilinear transformation, 917
Prediction error, 1313
Probability density function, 1476
probability density function, 101
Probability mass function, 1476
probability mass function, 101
Prototype filter, 851
Pseudoinverse, 1443
PSNR, 665

Quadrature (signal), 72
Quadrature sampling, 73
Quality factor, 793
Quantization, 221
Quantization error, 228
Quantization noise, 306
Quantization SNR, 307
Quantizer, 221
Quasi-periodic, 116

Ramp signal, 566
Real-valued signals, 72
Reciprocal of a complex number, 1027
Reconstruction (signal), 153
Rect function, 51
Rectangle method, 1422
Reflected transfer function, 1325
Region of convergence (ROC), Laplace transform, 542
Residue, 996
Ripple in frequency response, 839
RMS value, 130
Rounding, 222

Sampled signal, 74
Sampled to discrete-time (S/D) conversion, 147
Samples per second (SPS), 25
Sampling, 131
Sampling theorem, 171
Saturation region of a quantizer, 230
Scaling and shifting, 33
Scalloping loss, 1143, 1201
Second order sections (SOS), 996
Shannon-Whittaker interpolation formula, 735
Short-time Fourier transform, 1340
Sign extension, 261
Signal, 5
Signal-to-noise ratio, 17
Signal-to-noise ratio (SNR), 300
Signal-to-quantization-noise ratio, 17
Single input/single output (SISO), 676
Spectral factorization, 1322
Spectral flatness measure, 1593
Spectrogram, 1341
Spectrum, 482
Standard Gaussian, 92
Stationarity, 1516
Stride, 63
Superposition, 1633
Support (signal), 37
Support of a PDF, 109
Switched-capacitor filters, 1365
System function, 677

Tap (filter), 952
Time advance and delay rules, 33
Time constant, 766
Time shift, 33
Transfer function, 677
Truncation, 222
Tustin’s bilinear method, 865
Twiddle factor, 439

Unbiased estimator, 1587
Uncorrelated random variables, 272
Undersampling, 740
Unilateral Laplace transform, 567
Unilateral spectrum, 490
Unitary DFT, 425
Unitary matrix, 406
Upsampler, 1035

Vector quantization, 615

Wavelets, 449
White Gaussian noise (WGN), 286
White signal, 286
Whittaker-Shannon interpolation formula, 735
Wiener-Khinchin theorem, 1232
Window shift, 63

Yule-Walker equations, 1331

Zero-padding, 278, 516, 607
Zeros and poles, 554