book

Digital Alias-free Signal Processing

by Ivars Bilinskis

May 2007

Intermediate to advanced

454 pages

12h 27m

English

Wiley

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1.1 Subject Matter1.2 Digitizing Dictates Processing Preconditions1.3 Approach to the Development of Signal Processing Systems1.4 Alias-free Sampling Option1.5 Remarks in ConclusionBibliography
2.1 Randomized Versus Statistical Signal Processing2.2 Accumulation of Empirical Experience2.3 Discovery of Alias-free Signal Processing2.4 Randomization Leading to DASP2.5 Some of the Typically Targeted BenefitsBibliography
3.1 Periodic Sampling as a Particular Sampling Case3.2 Spectra of Sampled Signals3.3 Aliasing Induced Errors at Seemingly Correct Sampling3.4 Overlapping of Sampled Signal Components3.5 Various Approaches to Randomization of SamplingBibliography

4.1 Randomized Versus Deterministic Quantization4.2 Deliberate Introduction of Randomness4.3 Quantization Errors4.4 Quantization NoiseBibliography
5.1 Pseudo-randomization Approach5.2 Optimal Quantizing5.3 Input–Output Relationships5.4 Quantization Errors5.5 Quantization Noise5.6 Some Properties of Quantized Signals5.7 BenefitsBibliography
6.1 Periodic Sampling with Jitter6.2 Additive Random Sampling6.3 Sampling Function6.4 Elimination of Bias ErrorsBibliography
7.1 Sampling at Input and Reference Signal Crossings7.2 Representing Signals Using Timing Information7.3 Sine-Wave Crossings7.4 Remote Sampling Based on Sine-Wave Crossings7.5 Advantages and DisadvantagesBibliography
8.1 Phase-shifted Periodic Sampling8.2 Periodic Sampling with Random Skips8.3 Compensation Effect8.4 Generation of Randomized Sampling Pulse TrainsBibliography
9.1 Meaning of the DFT of a Nonuniformly Sampled Signal9.2 Concept of Fuzzy Aliasing9.3 Anatomy of Fuzzy Aliasing9.4 Object LessonBibliography
10.1 Hybrids of Periodic and Random Sampling10.2 Hybrid Double Sampling10.3 Mixing Hybrid Sampling with Periodic Sampling10.4 Comments in ConclusionBibliography
11.1 Data Acquisition from Wideband Signal Sources11.2 Application of Hybrid Double Sampling11.3 Pseudo-randomized Multiplexing11.4 Massive Data AcquisitionBibliography
12.1 Theoretical Limits12.2 Optimal Estimation12.3 Specifics Related to Pseudo-randomized Quantizing12.4 Estimation of the Absolute Mean Value12.5 Estimation of the Mean Power12.6 Errors Due to Randomized SamplingBibliography
13.1 Multiplication of Quantized Signals13.2 Correlation Analysis of Pseudo-randomly Quantized Signals13.3 Correlation Analysis of Pseudo-randomly Sampled Signals13.4 CommentsBibliography
14.1 Problem of Matching Signal Processing to Sampling14.2 Bases of Signal Transforms14.3 Orthogonal Transforms14.4 Discrete Unorthogonal Transforms14.5 Conversion of Unorthogonal TransformsBibliography
15.1 Problems Related to Sampling Irregularities15.2 Cross-interference Corrupting DFT15.3 Exploitation of FFT15.4 Revealing the Essence of the Fourier Coefficient EstimationBibliography
16.1 Potential Gains from Application of Rectangular Function Sets16.2 Complexity-reduced DFT Exploiting Rectangular Functions16.3 Computer Simulations of the Rectangular Function-based DFT16.4 Fast DFT of Sine-Wave CrossingsBibliography
17.1 Sensor Array Model17.2 Temporal and Spatial Spectra of Array Signals17.3 Beamforming17.4 Signal Direction of Arrival Estimation17.5 Pseudo-randomization of Sensor ArraysBibliography
18.1 Cross-interference Coefficients18.2 Taking the Cross-interference into Account18.3 Achievable Improvement and Typical Problems18.4 Parallel Computing Approach18.5 Mapping of the Cross-interference Coefficients
19.1 Measuring the Frequency Response of Objects19.2 Test Signal Synthesis from a Sparsely Periodically Sampled Basis Function19.3 Test Signal Synthesis from a Nonuniformly Sampled Basis Function19.4 Synthesis of Narrowband and Wideband Signals19.5 Measuring Small Delays and Switching Times19.6 Bioimpedance Signal Demodulation in Real-timeBibliography
20.1 Linking Digital Alias-free Signal Processing with Traditional Methods20.2 Algorithm Options in the Development of Firmware20.3 Dedicated Services of the Embedded DASP Systems20.4 Dedicated Services Related to Processing of Digital Inputs20.5 Reducing the Quantity of Sensors in Large-aperture ArraysBibliography