Find an expression for s in terms of z from the relation

Assignment Help Electrical Engineering

Reference no: EM13278757

Mapping of z-plane into the s-plane
Consider the inverse relation given by z=eSTs - that is, how to map the z-plane into the s-plane.
a.) Find an expression for s in terms of z from the relation z = STs.
b.) Consider the mapping of the unit circle (I.E. z = 1ejw, - pi <= w < pi). Obtain the segment in the s-plane resulting from mapping.
c.) Consider the mapping of the inside and outside of the unit circle. Determine the regions in the s-plane resulting from the mappings.
d.) From the above results, indicate the region in the s-plane to which the whole z-plane is mapped into. Since w = w + 2*pi, is this mapping unique? Explain.

Reference no: EM13278757

Questions Cloud

What does the scale read at its peak : If you stand on a bathroom scale, the spring inside the scale compresses 0.40mm, what does the scale read at its peak

What is the implied return on the companys stock : Earnings are expected to grow at 5 percent per year. 1) What is your estimate of the current stock price? 2)What is the target stock price in one year? 3) Assuming the company pays no dividends, what is the implied return on the company's stock ov..

State degree of unsaturation or index of hydrogen deficiency : The degree of unsaturation, or index of hydrogen deficiency, is the number of pi bonds plus rings in a molecule. Specify the degree of unsaturation (index of hydrogen deficiency) of the following formulas

What is the entropy change of the aluminum-water system : In an experiment, 300 g of aluminum (with a specific heat of 900 J/kg·K) at 100°C is mixed with 54.0 g of water (4186 J/kg·K) at 20°C, What is the entropy change of the aluminum-water system

Find an expression for s in terms of z from the relation : Consider the inverse relation given by z=eSTs - that is, how to map the z-plane into the s-plane. a.) Find an expression for s in terms of z from the relation z = STs. b.) Consider the mapping of the unit circle (I.E. z = 1ejw, - pi

How many moles are in the gas : The volume of an ideal gas is adiabatically reduced from a volume of 200 L to a volume of 74.3 L. How many moles are in the gas

Explain the interconnectivity of world largest stock markets : Explain the interconnectivity of the world's largest stock markets. Discuss which country you believe has the most influence on the U.S. stock market performance and why. Explain your rationale.

Determine where the given poles are mapped into the z-plane : a.) Determine where the given poles are mapped into the z-plane.b.) How would you determine if these poles are mapped inside, on, or outside the unit circle in the z-plane. Explain.

Find the gauge pressure at a second point in the line : Find the gauge pressure at a second point in the line 10.6m lower than the first if the pipe diameter at the second point is twice that at the first

User Account

All Pages