1.3.1 Laplace and Fourier Transforms
1.3.2 The z-Transform and the Discrete Fourier Transform
1.4.1 Non-parametric Spectrum or Fourier Spectrum
1.4.2 Parametric Representation
1.5 Converting Analogue Signals to Digital
1.6 Signal Seen by the Computing Engine
1.6.3 The Need for Normalised Frequency
2.2 Linear System Representation
2.2.5 Pole–Zero Representation
2.2.6 Continuous to Discrete Domain
2.2.7 State Space Representation
2.2.8 Solution of Linear Difference Equations
2.3.1 Functions of a Random Variable
2.4.2 Fourier Transform and pdf of Noise
2.5 Propagation of Noise in Linear Systems
2.5.1 Linear System Driven by Arbitrary Noise
2.6.1 Vectors of More Than Two Dimensions
2.6.2 Functions of Several Variables
2.7.1 Representation of Numbers
3.2.2 Mean of a Given Sequence
3.2.3 Mean over a Fixed Number of Samples
3.2.5 MA Filter with Complex Coefficients
3.3 Infinite Sequence Generation
3.3.3 Numerically Controlled Oscillator
3.4 Unity-Gain Narrowband Filter
3.5.1 Interpolation of Data Using an APF
3.5.2 Delay Estimation Using an APF
3.7 Other Autoregressive Filters
3.9 Demodulating via Adaptive Filters
3.10 Phase Shift via Adaptive Filter
3.11.2 Estimating Filter Coefficients
3.11.3 Target Tracking as an Inverse Problem
4 Fourier Transform and Signal Spectrum
4.1 Heterodyne Spectrum Analyser
4.2 Discrete Fourier Transform
4.3 Decimating the Given Sequence
4.4.5 Computing Effort Estimate
4.5 Fourier Series Coefficients
4.7.2 Instrument Classification
4.8 Frequency Estimation via DFT
4.9 Parametric Spectrum in RF Systems
4.9.2 Estimating the Parameter Vector
5 Realisation of Digital Filters
5.3 Analogue-to-Digital Converters
5.3.1 Successive Approximation Method
5.3.4 Synchro-to-Digital Converters
5.4.1 Fixed-Point Implementation
5.5.1 Modelling Hardware Multipliers and Adders
5.6.1 Comparison of DSP Processors
5.7 Frequency Estimator on the DSP5630X
5.7.1 Modified Response Error Method
5.8 FPGA Implementation of a Kalman Filter
5.8.1 Fixed-Point Implementation
6.1 Difference Equation to Program
6.2 Estimating Direction of Arrival
6.3 Electronic Rotating Elements
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