ECE535_10S_hw2

# ECE535_10S_hw2 - ECE 535 DISCRETE TIME SYSTEMS HOMEWORK...

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ECE 535 DISCRETE TIME SYSTEMS SPRING 2010 HOMEWORK ASSIGNMENT #2 Due: 15 February 2010 1. Answer the following questions as true or false. Provide a justiﬁcation for your answer. (a) For a sample period of 200 msec., the zero-order-hold equivalent of the continuous- time plant with transfer function H ( s ) = 10( s + 3 . 7) ( s + 1 . 6)( s + 4 . 2) (1) has all its poles on the positive portion of the real axis in the z -plane between 0.4 and 0.7. (Try to answer this question without calculating the ZOH-equivalent.) (b) The bilinear transformation approximation of a proper, minimum phase continuous- time system is stable. (c) The DC gain of the zero-order-hold equivalent of a stable continuous-time plant does not vary as the sample rate is varied. (d) The number of ﬁnite-valued poles and zeros of a transfer function H ( s ) equals the number of ﬁnite-valued poles and zeros in its zero-order-hold equivalent. (e) As

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ECE535_10S_hw2 - ECE 535 DISCRETE TIME SYSTEMS HOMEWORK...

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