(New page: <br> Audio Signal Processing with Down-sampler and LPF Investigate <br>Abstract <br>This document is investigating the effectiveness of a LPF, (low-pass-filter) when down-sampling. W...) |
|||
| Line 7: | Line 7: | ||
<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.
