Accumulator DSP register, 1058
ADC chip, 16
All-poles, 1102
Allpass filters, 885
Almost periodic, 135
Almost-periodic signals, 150
Analog signal, 6
Analytic signal, 828
Autocorrelation function, 1517
AWGN, 326

Bandform transformation, 884
Bandwidth definitions, 827
Bilateral bandwidth, 827
Bilinear transformation, 898, 903
Bin (DFT/FFT), 544
Bin (histogram), 117
Bin-centered signal, 544
Block-based processing, 80
Bode diagram, 818
Bridge taps, 1108

Circular convolution, 760
Codebook, 240
Coefficients, transform, 437
Complex-valued signals, 91
Contraction, 53
Convolution, 731
Correlation, 302
Correlation coefficient, 303
Covariance, 303, 1531
Critically-sampled signal, 788
Cross-correlation, 325
Cyclic convolution, 760
Cyclic frequency, 1554

D transform, 630
dBc, 1604
Decay rate, 800
Decoding (quantization), 276
Decorrelation, 1355
DFT bin, 544
Difference equation, 710
Differentiator, 988
Digital signal, 6
Digital signal processor (DSP), 16
Dilation, 53
Dot product, 428
Double-sided bandwidth, 827
Downsampler, 1074
DSP, 397
Dual-Tone Multi-Frequency (DTMF), 43
Dynamic range, 256

Electrocardiogram (ECG), 5
Ensemble average, 308
Ergodic, 1538
Ergodicity, 308
Even and odd parts of a signal, 100
Even signal, 100

FFT algorithms, 475
FFT bin, 544
Field programmable gate array (FPGA), 16
Filter design, 857
Filter memory, 1016
Filter realization, 857, 1015
Filter Visualization Tool (Matlab), 885
Filters, 711
Fixed-point representation, 281
Flat top window, 1395
Flat-top window, 1174
Floating-point representation, 293
Folding frequency, 549
Fractional bandwidth, 833
Frame-based processing, 80
Frequency estimation, 1161
Frequency response, 707, 743
Frequency scaling, 882
Frequency-selective channel, 1112
Fundamental period, 130

Gaussian filter, 842
Gibbs phenomenon, 498
Goertzel algorithm, 1349
Granular region of a quantizer, 249
Group delay, 834

Halfband filters, 885
Hamming window, 1173
Hann window, 1173
Harmonics, 508
Hermitian symmetry, 317, 512
Histogram, 117

i. i. d. - Independent and identically distributed, 401
i. i. d. random process, 1533
Imaging due to upsampling, 1074
Impedance scaling, 884
Impulses, 67
Initial value theorem, 611
Inner product, 428
Interpolation, 172
Inverse transform, 437

Kaiser window, 1174

Leakage, spectrum, 666
Least significant bit (LSB), 249
Least-squares FIR design, 988
Levinson-Durbin algorithm, 1370
Likelihood function, 128
Linear constant-coefficient difference equation (LCCDE), 710
Linear predictive coding, 1355
Lossless operation, 44
Lossy operation, 17

Matched Z-transform, 600
Minimum-phase systems, 1059
Modified periodogram, 1301
Monic signal, 1361
Moore-Penrose pseudoinverse, 1471
Multiple input/multiple output (MIMO), 706
Multirate processing, 1067
Multivariate signal, 5

Natural frequency, 717, 800
Noise floor, 1320
Notch filter, 891
Nyquist frequency, 231, 463, 549
Nyquist sampling, 788
Nyquist zone, 786

Odd signal, 100
Offset binary output coding, 280
Outlier, 256
Overload region of a quantizer, 249
Oversampling, 158
Oversampling factor, 158

Parametric modeling, 881
Partial fraction decomposition, 1436
Passband sampling, 773
PCM, 354
Periodic convolution, 760
Periodogram, 1301
Perpendicular, 430
Picket-fence effect, 1222
PID controller, 946, 983
Pole-zero placement, 891
Power spectral density, 25
Power spectral density (PSD), 1161
Power spectrum, 1161
Pre-warping, 947
Pre-warping in bilinear transformation, 950
Prediction error, 1352
Probability density function, 1492
probability density function, 120
Probability mass function, 1492
probability mass function, 120
Prototype filter, 884
Pseudoinverse, 1471
PSNR, 695

Quadrature (signal), 91
Quadrature sampling, 92
Quality factor, 826
Quantization, 240
Quantization error, 247
Quantization noise, 339
Quantization SNR, 340
Quantizer, 240
Quasi-periodic, 135

Ramp signal, 597
Real-valued signals, 91
Reciprocal of a complex number, 1059
Reconstruction (signal), 172
Rect function, 70
Rectangle method, 348, 1450
Reflected transfer function, 1364
Region of convergence (ROC), Laplace transform, 573
Residue, 1029
Ripple in frequency response, 872
RMS value, 149
Rounding, 241

Sampled signal, 93
Sampled to discrete-time (S/D) conversion, 166
Samples per second (SPS), 44
Sampling, 150
Sampling theorem, 190
Saturation region of a quantizer, 249
Scaling and shifting, 52
Scalloping loss, 1185, 1234
Second order sections (SOS), 1029
Shannon-Whittaker interpolation formula, 768
Short-time Fourier transform, 1379
Sign extension, 280
Signal, 5
Signal-to-noise ratio, 17
Signal-to-noise ratio (SNR), 332
Signal-to-quantization-noise ratio, 17
Single input/single output (SISO), 706
Spectral factorization, 1361
Spectrogram, 1380
Spectrum, 513
Standard Gaussian, 111
Stationarity, 1532
Stride, 82
Superposition, 1621
Support (signal), 56
Support of a PDF, 128
Switched-capacitor filters, 1399
System function, 707

Tap (filter), 985
Time advance and delay rules, 52
Time constant (system), 799
Time shift, 52
Transfer function, 707
Truncation, 241
Tustin’s bilinear method, 898
Twiddle factor, 470

Uncorrelated random variables, 304
Undersampling, 773
Unilateral Laplace transform, 598
Unilateral spectrum, 521
Unitary DFT, 461
Unitary matrix, 437
Upsampler, 1067

Vector quantization, 645

Wavelets, 480
White Gaussian noise (WGN), 318
White signal, 318
Whittaker-Shannon interpolation formula, 768
Wiener-Khinchin theorem, 1272
Window shift, 82

Yule-Walker equations, 1370

Zero-padding, 310, 547, 637
Zeros and poles, 585