Foundations

OpenStax

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Signals represent information

1 Analog signals

2 Digital signals

Introduction to systems

1 Cascade interconnection

2 Parallel interconnection

3 Feedback interconnection

Discrete-time signals and systems

Linear time-invariant systems

Discrete time convolution

2 Convolution and circular convolution

4 Operation definition

5 Definition motivation

6 Graphical intuition

7 Circular convolution

8 Definition motivation

9 Graphical intuition

10 Interactive element

11 Convolution summary

Review of linear algebra

1 Hilbert spaces

2 Examples of hilbert spaces

Signal expansions

Introduction to fourier analysis

Continuous time fourier transform (ctft)

2 Fourier transform synthesis

4 Ctft definition demonstration

5 Example problems

6 Fourier transform summary

Discrete time fourier transform (dtft)

Dft as a matrix operation

The fft algorithm

Source: OpenStax, Fundamentals of signal processing. OpenStax CNX. Nov 26, 2012 Download for free at http://cnx.org/content/col10360/1.4

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