Question 4 A minimum phase linear system has a constant gain term of -10 dB. It

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Question 4 A minimum phase linear system has a constant gain term of -10 dB. It has 5 poles and 2 zeros. For frequencies significantly above the highest cut-off frequency (or breakpoint), what is the gradient of the asympototic log-magnitude plot in dB/decade? You are not required to enter the units for your answer. Question 5 A minimum phase linear system has a constant gain term of 20 dB. It has 4 poles and 3 zeros. For frequencies significantly above the highest cut-off frequency (or breakpoint), what is the phase response in degrees? You are not required to enter the units for your answer.

Explanation / Answer

ANSWER 4:

Every pole in a system contributes to a slope of -20dB/decade, for every frequency after it's (poles') occurence and a zero contributes +20dB/decade. Since there are 5 poles and 2 zeros, the net slope after the highest cut-off frequency would be -60dB/decade.

ANSWER 5:

Every pole in a system contributes a phase of -90o at frequencies much higher than the poles' frequency. Similarly a zero contributes 90o at frequencies much higher than the zeros' frequency. Since there are 4 poles and 3 zeros, the phase at a very high frequency would be (4*-90) + (3*90) = -90o

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