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f2000c - I I R and F I R F il te r Design Overview For this...

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I IR and FIR Filter Design Overview For this project you will design and compare several types of IIR and FIR filters, and examine how the designs vary with the input parameters. You will also be comparing the designs possible with IIR 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 . IIR Filter Design 1. Analyze a Sixth-Order Digital Butterworth Lowpass I IR Filter. Use the M ATLAB command butter to design a sixth-order lowpass IIR filter with cutoff frequency ϖ c = 0.33 π . (Note that the Wn parameter in butter corresponds to a normalized frequency so that for this filter, Wn = 0.33 .) M ATLAB takes care of the analog filter design and uses the bilinear transformation to transform the analog filter into a digital filter. Plot the magnitude and phase frequency responses, the pole/zero plot for the system, and the first 20 values of the impulse response of the system. 2. Analyze a Sixth-Order Digital Chebyshev Lowpass I IR Filter . Use the M ATLAB command cheby1 to design a sixth-order lowpass IIR filter with a cutoff frequency ϖ c = 0.33 π and passband ripple of 0.5 dB. Plot the magnitude and phase frequency responses, the pole/zero plot for the system, and the first 20 values of the impulse response of the system. f2000c

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3. Analyze a Sixth-Order Digital Elliptic Lowpass I IR Filter. Use the M ATLAB command ellip to design a sixth-order lowpass IIR filter with a cutoff frequency ϖ c = 0.33 π , passband ripple of 0.5 dB, and stopband ripple 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 first 20 values of the impulse response of the system. 4. Compare the Order of the Three Filter Design Methods. Consider a digital filter specification for an IIR lowpass filter with passband cutoff frequency ϖ p = 0.45 π , stopband cutoff frequency ϖ s = 0.5 π , passband ripple of 0.1 dB, and stopband attenuation below 40 dB. What order digital Butterworth, Chebyshev, and Elliptic lowpass IIR filters will meet these specifications? Use the buttord ,
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f2000c - I I R and F I R F il te r Design Overview For this...

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