lab5_w2010

# lab5_w2010 - CARLETON UNIVERSITY Department of Systems and...

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1/13 CARLETON UNIVERSITY Department of Systems and Computer Engineering SYSC 4405 FIR Filter Types and design methods not covered in lectures Important/ Read first The folder for lab5 contains a Matlab subfolder. to get you started faster on this lab. The fol- lowing steps should help: 1) Copy the contents of theMatlab subfolder to your working directory on the M: drive 2) Start Matlab 7.01 3) Read the material provided on the use of frequency sampling, you are required to design a low- pass filter with the specifications provided in table I (page 4). You may use the m-file “FIR_freq_sampling” to get started. This script is good only when N is a power of 2!. You should then investigate the use of the signal-processing toolbox command “fir2” as described on page 6. Instructor Verification is required. 4) Read the material provided on the design of differentiators (starting page 6). Use the m-file “diff_design” to design an example differentiator of order 15 as shown in the lab manual. Use the simulink model provided to test your differentiator. Using this simulink model you should be able to: a) measure the frequency response using Gaussian noise as an input. and b) By switching the input to “chirp” you should be able to verify that the differentiator introduces a 90 degrees phase shift when the input is sinusoidal. You may now examine different approaches to the design of differentiators through the “digital filter design” block of the “signal processing blockset”. Instructor Verification is required. 5) Read the material provided regarding the design of Hilbert Transformers. Use the m-file “Hilbert_transformer” to design an FIR transformer as described on page 9-12. Use the simulink model provided to measure the frequency response of this transformer, using Gaussian noise as input. Switch the input to a “chirp” and examine the phase relation between the filter input and the filter output. You should then investigate alternate approaches to the design of Hilbert transform- ers which are provided in the “digital-filter-design” block of the “signal processing block set” Instructor Verification is Required. 6) Should you finish earlier and wish to revisit labs 1-4 you are encouraged to do so.

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2/13 Classification of Linear Phase FIR Filters Type I FIR Filters Symmetric and Even Order (odd number of coefficients) The impulse response has the property for The frequency response can be written as: The quantity in the square bracket defines the magnitude response The phase response is a piece-wise linear function of frequency. Type II FIR Filters Symmetric and odd order (even number of coefficients) The impulse response has the property for The frequency response can be written as: The quantity in the square bracket defines the magnitude response The phase response is a piece-wise linear function of frequency.
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lab5_w2010 - CARLETON UNIVERSITY Department of Systems and...

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