(3) Music FIR filter experiment #1

Composite filter

Numeric values
[Graphics:../Images/index_gr_48.gif]
First sub filter
[Graphics:../Images/index_gr_49.gif]
[Graphics:../Images/index_gr_50.gif]
[Graphics:../Images/index_gr_51.gif]
Second sub filter
[Graphics:../Images/index_gr_52.gif]
[Graphics:../Images/index_gr_53.gif]
[Graphics:../Images/index_gr_54.gif]
Composite filter
[Graphics:../Images/index_gr_55.gif]
[Graphics:../Images/index_gr_56.gif]

[Graphics:../Images/index_gr_57.gif]

[Graphics:../Images/index_gr_58.gif]

[Graphics:../Images/index_gr_59.gif]

[Graphics:../Images/index_gr_60.gif]

[Graphics:../Images/index_gr_61.gif]

Corresponding approximate impulse response function (with delay)

First filter
[Graphics:../Images/index_gr_62.gif]

[Graphics:../Images/index_gr_63.gif]

Second filter
[Graphics:../Images/index_gr_64.gif]

[Graphics:../Images/index_gr_65.gif]

[Graphics:../Images/index_gr_66.gif]

[Graphics:../Images/index_gr_67.gif]

Composite filter
[Graphics:../Images/index_gr_68.gif]

[Graphics:../Images/index_gr_69.gif]

[Graphics:../Images/index_gr_70.gif]
[Graphics:../Images/index_gr_71.gif]

[Graphics:../Images/index_gr_72.gif]

Corresponding frequency response

As a function of θ
[Graphics:../Images/index_gr_73.gif]
[Graphics:../Images/index_gr_74.gif]

[Graphics:../Images/index_gr_75.gif]

As a function of [Graphics:../Images/index_gr_76.gif]
[Graphics:../Images/index_gr_77.gif]

[Graphics:../Images/index_gr_78.gif]

[Graphics:../Images/index_gr_79.gif]

[Graphics:../Images/index_gr_80.gif]

Convolve composite filter with music signal

Perform convolution
[Graphics:../Images/index_gr_81.gif]
Listen to wav file
[Graphics:../Images/index_gr_82.gif]

[Graphics:../Images/index_gr_83.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_84.gif]
[Graphics:../Images/index_gr_85.gif]
[Graphics:../Images/index_gr_86.gif]

[Graphics:../Images/index_gr_87.gif]

Filtered sample
[Graphics:../Images/index_gr_88.gif]
[Graphics:../Images/index_gr_89.gif]
[Graphics:../Images/index_gr_90.gif]

[Graphics:../Images/index_gr_91.gif]

Show both
[Graphics:../Images/index_gr_92.gif]

[Graphics:../Images/index_gr_93.gif]

Show one column of each spectrogram
[Graphics:../Images/index_gr_94.gif]

[Graphics:../Images/index_gr_95.gif]

[Graphics:../Images/index_gr_96.gif]

[Graphics:../Images/index_gr_97.gif]

[Graphics:../Images/index_gr_98.gif]

[Graphics:../Images/index_gr_99.gif]


Converted by Mathematica      March 25, 2003