Matlab Analysis of the Simplest Lowpass Filter

The example filter implementation listed in Fig.1.3 was written
in the C programming language so that all computational details would
be fully specified. However, it is relatively rare these days to
write such low-level software for signal processing. Higher level
languages such as *matlab* make it possible to write powerful
programs much faster and more reliably. Even in embedded
applications, for which assembly language is typically required, it is
usually best to develop and debug the system in matlab beforehand.

The Matlab (R) product by The Mathworks,
Inc.,
is far and away the richest
implementation of the matlab language. However, it is very expensive
for non-students, so you may at some point want to consider the free,
open-source alternative called
Octave.
All examples in this chapter will work in either Matlab or
Octave,^{3.1}except that some plot-related commands may need to be modified. The
term *matlab* (not capitalized) will refer henceforth to either
Matlab or Octave, or any other compatible implementation of the matlab
language.^{3.2}

This chapter provides four matlab programming examples to complement the mathematical analysis of §1.3:

- 2.1:
- Filter
*implementation* - 2.2:
- Simulated
*sine-wave analysis* - 2.3:
- Simulated
*complex*sine-wave analysis - 2.4:
- Practical
*frequency-response*analysis

**Note:** The reader is expected to know (at least some) matlab before
proceeding. See, for example, the Getting
Started
Manual,
or just forge ahead and use the examples below to start learning
matlab (it is very readable, as computer languages go). To skip over
the matlab examples for now, proceed to Chapter 3.

- Matlab Filter Implementation
- Matlab Sine-Wave Analysis
- Complex Sine-Wave Analysis
- Practical Frequency-Response Analysis
- Elementary Matlab Problems

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