lecture 22 frequency response hung-yi lee filter outline (chapter 11) amplitude ratio phase shift...
TRANSCRIPT
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- Lecture 22 Frequency Response Hung-yi Lee
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- Filter Outline (Chapter 11) Amplitude Ratio Phase Shift Highpass Filter Frequency Response Bode Plot Draw frequency response Ch 11.4 Ch 11.1 Ch 11.2 Lowpass Filter Notch Filter Bandpss Filter
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- Review Network Function Output depends on input and complex frequency s.
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- Frequency Response Only focus on the change of frequency In this lecture, we only focus on s=j. H(j) is the frequency response. That is, only consider H(j)
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- Frequency Response H(j) is a complex number, so frequency response is usually represented by two curves Magnitude Ratio Phase Shift
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- Example 11.1 Network Function: Frequency Response:
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- Example 11.1 Based on Superposition:
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- Example 11.1 InputOutput
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- Example 11.2 Assume C=1/aR Find Network Function a=1/RC
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- Example 11.2 Set s=j The amplitude ratio is constant.
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- Example 11.2 Magnitude Ratio Phase Shift Distance of j to a Distance of j to -a
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- Example 11.2 Phase shift network: Waveform distortion
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- Another Example for Phase Shift Network
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- Computing Frequency Response by Poles and Zeros
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- Frequency Response K: gain factor p 1, p 2, : poles z 1, z 2, : zeros
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- Frequency Response - Magnitude Ratio Distance of j to z 1 Distance of j to p 1 Distance of j to p 2 Distance of j to z 2
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- Frequency Response - Magnitude Ratio Gain factor is K Magnitude ratio at =| Gain factor| all distance to zeros all distance to poles X
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- Frequency Response - Phase Shift
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- Example 11.3
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- Homework 11.2, 11.4
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- Application: Hearing Reference: http://hyperphysics.phy-astr.gsu.edu/hbase/sound/hearcon.html
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- Range of Hearing Range of Audio: 300Hz 3.4KHz Frequency Range of hearing: 20Hz - 20KHz dB
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- Equal Loudness Contour Red Curve: Equal loudness Blue Line: Same Energy 60 phon means as loud as the 60dB 1kHz sound. phon (unit): dB
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- Hearing v.s. Age Application: 68 ( )
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- Phase and Sound Pass a Phase shift network
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- Structure of Ear
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- Cochlea ( ) to brain Each neuron only passes a specific frequency. Pass high frequency Pass low frequency Pass 20kHz Pass 20Hz
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- Cochlea ( ) to brain Neuron for =300 Neuron for =100 Neuron for =20 =300, Amplitude=10 =20, Amplitude=10
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- Machine Hearing Each triangle is the amplitude ratio of a filter How? Ear of machine A set of filters (filter bank) Energy of the signal of the output of the filter Send to computer How to write a program for speech recognition? a. Observe data, and write down some rules b. Simulate human brain, and let the computer learn by itself. Feature
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- Speech Signal ? ? Acoustic Model Language Model Text Machine Learning Deep Neural Network (Brain) Features Speech Recognition Signal Processing (Filter Bank)
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- Thank you!
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- Answer 11.2: 11.4:
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- Acknowledgement (b02) (b02) (b02)