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**Unformatted text preview: **I I R and F I R Filter Design Overview For this project you will design and compare several types of I IR and FIR filters, and examine how the designs vary with the input parameters. You will also be comparing the designs possible with I IR and FIR methods. Since these methods are traditionally specified differently you should review the contents of the Matlab Ripple Project before continuing. Commands you may find useful in this project include subplot, orient tall, orient landscape, and print . I I R Filter Design 1. Analyze a Sixth-Order D igital Butte rwor th Lowpass I I R F ilter. Use the M ATLAB command butter to design a sixth-order lowpass I IR fi l ter with cutoff frequency c = 0.33 . (Note that the Wn parameter in butter corresponds to a normalized frequency so that for this fi l ter, Wn = 0.33 .) M ATLAB takes care of the analog fi l ter design and uses the bilinear t ransformation to t ransform the analog fi l ter in to a digital fil ter. Plot the magnitude and phase frequency responses, the pole/zero plot for the system, and the fi rst 20 values of the impulse response of the system. 2. Analyze a Sixth-Order D igital Chebyshev Lowpass I I R F ilter . Use the M ATLAB command cheby1 to design a sixth-order lowpass I IR fi l ter with a cutoff frequency c = 0.33 and passband r ipple of 0.5 dB. Plot the magnitude and phase frequency responses, the pole/zero plot for the system, and the fi rst 20 values of the impulse response of the system. f2000c 3. Analyze a Sixth-Order D igital Elliptic Lowpass I I R F ilter. Use the M ATLAB command ellip to design a sixth-order lowpass I IR fil ter with a cutoff frequency c = 0.33 , passband r ipple of 0.5 dB, and stopband r ipple that is 30 dB less than the passband response. Plot the magnitude and phase frequency responses, the pole/zero plot for the system, and the fi rst 20 values of the impulse response of the system. 4. Compa re the Order of the Th ree F ilter Design Methods. Consider a digital fil ter specification for an I IR lowpass fil ter wi th passband cutoff frequency p = 0.45 , stopband cutoff frequency s = 0.5 , passband r ipple of 0.1 dB, and stopband attenuation below 40 dB. What order digital But terworth, Chebyshev, and Elliptic lowpass I IR fi l ters will meet these specifications? Use the lowpass I IR fi l ters will meet these specifications?...

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