The Dominant Pole Approximation When a transform F(s) has widely separated poles, then those closest to the j-axis tend to dominate the response because they have less damping. An approximation to the waveform can be obtained by ignoring the contributions of all except the dominant poles. We can ignore the other poles simply by discarding their terms in the partial fraction expansion of F(s). The purpose of this example is to examine a dominant pole approximation of the transform
(a) Construct a partial-fraction expansion of F(s) and find f (t).
(b) Construct a pole-zero diagram of F(s) and identify the dominant poles.
(c) Construct a dominant pole approximation g (t) by discarding the other poles in the partial fraction expansion in part (a).
(d) Plot f(t) and g (t) and comment on the accuracy of the approximation.
A project generates the following sequence of cash flows over six years.Year Cash Flow ($ million)0 -59.01 4.002 5.003 6.004 7.335 8.006 8.25a. Calculate the NPV over the...May 02 2020
Between 1990 and 2004, the government started granting crime victims’ rights for the cases against the accused. These rights progressively become more and more to make th...Feb 01 2020
Shifts in production possibilities Suppose Ireland produces two types of goods: agricultural and capital. The following diagram shows its current production possibilities...Apr 12 2021
Write a function that returns the sum of all the elements in a specified column in a matrix using the following header: def sumColumn(matrix, columnIndex) Write a functio...Apr 02 2020
When designing a water storage tank, should movement joints be installed?Jul 06 2020
The weight of a small Starbucks coffee is a normally distributed random variable with a mean of and a standard deviation of find the weight that corresponds to each even...Feb 15 2020
Assume net sales of $1,200,000 and cost of goofs sold of $900,000. Determine the average investment in accounts receivable, inventories, and accounts payable. What would ...Apr 25 2020
If you could finance a new venture with either a stock issue or bonds, whichoption would you choose? What are their respective advantages and disadvantages?Jun 08 2018
Suppose that the position of one particle at time t is given by and the position of a second particle is given by (a) Graph the paths of both particles. How many points o...Jul 01 2021
Suppose you purchase the June 2014 call option on corn futures with a strike price of $4.95 at the last price of the day. Use Table 23.2 How much does your option co...Apr 18 2020