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, C is a relatively low-level language for
signal-processing software. 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 Matlab
Getting Started
documentation, 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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Center for Computer Research in Music and Acoustics (CCRMA), Stanford University