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<br>This document is investigating the effectiveness of a LPF, (low-pass-filter) when down-sampling. We are going to down-sample various types of audio signals with down-samplers which have different down-sampling rate.<br>Introduction | <br>This document is investigating the effectiveness of a LPF, (low-pass-filter) when down-sampling. We are going to down-sample various types of audio signals with down-samplers which have different down-sampling rate.<br>Introduction | ||
− | <br>Formally, down-sampling can be written as | + | <br>Formally, down-sampling can be written as |
− | <br> ''' y[n]=x[Mn]''' | + | <br> ''' y[n]=x[Mn]''' |
<br>In the frequency domain, we will have | <br>In the frequency domain, we will have | ||
+ | <br> | ||
+ | [[Image:Dsamplef.png]] | ||
+ | |||
+ | The following figure could illustrate the reason of aliasing in down-sampling. | ||
+ | |||
+ | This Figure is done by Phil Schniter. | ||
+ | |||
+ | [[Image:Dsample.png]] | ||
<br><br> | <br><br> |
Revision as of 23:34, 8 November 2011
Audio Signal Processing with Down-sampler and LPF Investigate
Abstract
This document is investigating the effectiveness of a LPF, (low-pass-filter) when down-sampling. We are going to down-sample various types of audio signals with down-samplers which have different down-sampling rate.
Introduction
Formally, down-sampling can be written as
y[n]=x[Mn]
In the frequency domain, we will have
The following figure could illustrate the reason of aliasing in down-sampling.
This Figure is done by Phil Schniter.