(4) Music FIR filter experiment #2

Composite filter

Numeric values
[Graphics:../Images/index_gr_100.gif]
First sub filter
[Graphics:../Images/index_gr_101.gif]
[Graphics:../Images/index_gr_102.gif]
[Graphics:../Images/index_gr_103.gif]
Second sub filter
[Graphics:../Images/index_gr_104.gif]
[Graphics:../Images/index_gr_105.gif]
[Graphics:../Images/index_gr_106.gif]
Composite filter
[Graphics:../Images/index_gr_107.gif]
[Graphics:../Images/index_gr_108.gif]

[Graphics:../Images/index_gr_109.gif]

[Graphics:../Images/index_gr_110.gif]

[Graphics:../Images/index_gr_111.gif]

[Graphics:../Images/index_gr_112.gif]

[Graphics:../Images/index_gr_113.gif]

Corresponding approximate impulse response function (with delay)

First filter
[Graphics:../Images/index_gr_114.gif]

[Graphics:../Images/index_gr_115.gif]

Second filter
[Graphics:../Images/index_gr_116.gif]

[Graphics:../Images/index_gr_117.gif]

[Graphics:../Images/index_gr_118.gif]

[Graphics:../Images/index_gr_119.gif]

Composite filter
[Graphics:../Images/index_gr_120.gif]

[Graphics:../Images/index_gr_121.gif]

[Graphics:../Images/index_gr_122.gif]
[Graphics:../Images/index_gr_123.gif]

[Graphics:../Images/index_gr_124.gif]

Corresponding frequency response

As a function of θ
[Graphics:../Images/index_gr_125.gif]
[Graphics:../Images/index_gr_126.gif]

[Graphics:../Images/index_gr_127.gif]

As a function of [Graphics:../Images/index_gr_128.gif]
[Graphics:../Images/index_gr_129.gif]

[Graphics:../Images/index_gr_130.gif]

[Graphics:../Images/index_gr_131.gif]

[Graphics:../Images/index_gr_132.gif]

Convolve composite filter with music signal

Perform convolution
[Graphics:../Images/index_gr_133.gif]
Listen to wav file
[Graphics:../Images/index_gr_134.gif]

[Graphics:../Images/index_gr_135.gif]

Click on the sound plot above to hear the speech signal.

Look at frequency content (spectrogram) of two wav files

Unfiltered sample
[Graphics:../Images/index_gr_136.gif]
[Graphics:../Images/index_gr_137.gif]
[Graphics:../Images/index_gr_138.gif]

[Graphics:../Images/index_gr_139.gif]

Filtered sample
[Graphics:../Images/index_gr_140.gif]
[Graphics:../Images/index_gr_141.gif]
[Graphics:../Images/index_gr_142.gif]

[Graphics:../Images/index_gr_143.gif]

Show both
[Graphics:../Images/index_gr_144.gif]

[Graphics:../Images/index_gr_145.gif]

Show one column of each spectrogram
[Graphics:../Images/index_gr_146.gif]

[Graphics:../Images/index_gr_147.gif]

[Graphics:../Images/index_gr_148.gif]

[Graphics:../Images/index_gr_149.gif]

[Graphics:../Images/index_gr_150.gif]

[Graphics:../Images/index_gr_151.gif]


Converted by Mathematica      March 25, 2003