Brief notes on signals and systems

OpenStax

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Continuous-time signals

0.1 The fourier series

0.2 Definition of the fourier series

0.3 A geometric view

0.4 Properties of the fourier series

0.6 Theorems on the fourier series

0.7 The fourier transform

0.8 Definition of the fourier transform

0.9 Properties of the fourier transform

0.10 Examples of the fourier transform

0.11 The laplace transform

0.12 Definition of the laplace transform

0.13 Properties of the laplace transform

1 Discrete-time signals

1.1 The discrete fourier transform

1.2 Definition of the dft

1.3 Matrix formulation of the dft

1.4 Extensions of x(n)

1.5 Convolution

1.6 Properties of the dft

1.7 Examples of the dft

1.8 The discrete-time fourier transform

1.9 Definition of the dtft

1.10 Properties

1.11 Evaluation of the dtft by the dft

1.12 Examples of dtft

1.13 The z-transform

1.14 Definition of the z-transform

1.15 Properties

1.16 Examples of the z-transform

1.17 Inversion of the z-transform

1.18 Solution of difference equations using the z-transform

1.19 Region of convergence for the z-transform

1.20 Relation of the z-transform to the dtft and the dft

1.21 Relationships among fourier transforms

1.22 Wavelet-based signal analysis

1.23 The basic wavelet theory

1.24 Generalization of the basic wavelet system

2 Discrete-time systems

3 Sampling, up--sampling, down--sampling, and multi--rate

3.1 Fourier techniques

3.2 The spectrum of a continuous-time signal and the fourier transform

3.3 The spectrum of a sampled signal and the dtft

3.4 Samples of the spectrum of a sampled signal and the dft

3.5 Samples of the dtft of a sequence

3.6 Fourier series coefficients from the dft

3.7 Shannon's sampling theorem

3.8 Calculation of the fourier transform and fourier series using the fft

3.10 Sampling functions — the shah function

3.11 Up–sampling, signal stretching, and interpolation

3.12 Down–sampling, subsampling, or decimation

3.13 More later

Source: OpenStax, Brief notes on signals and systems. OpenStax CNX. Sep 14, 2009 Download for free at http://cnx.org/content/col10565/1.7

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