Reference no: EM131138003
A discrete-time lowpass filter is to be designed by applying the impulse invariance method to a continuous-time Butterworth filter having magnitude-squared function
Assume, as in that example, that aliasing will not be a problem; i.e., design the continuoustime Butterworth filter to meet passband and stopband specifications as determined by the desired discrete-time filter.
(a) Sketch the tolerance bounds on the magnitude of the frequency response, |Hc(jΩ)|, of the continuous-time Butterworth filter such that after application of the impulse invariance method (i.e., h[n] = Tdhc(nTd )), the resulting discrete-time filter will satisfy the given design specifications. Do not assume that Td = 1 as in Example 7.2.
(b) Determine the integer order N and the quantity TdΩc such that the continuous-time Butterworth filter exactly meets the specifications determined in part (a) at the passband edge.
(c) Note that if Td = 1, your answer in part (b) should give the values of N and Ωc obtained in Example 7.2. Use this observation to determine the system function Hc(s) for Td ≠ 1 and to argue that the system function H (z) which results from impulse invariance design with Td = 1 is the same as the result for Td = 1 given by Eq. (7.17).
|
Why cost structure associate with many kinds of information
: Explain why the cost structure associated with many kinds of information goods and services might imply a market supplied by a small number of large firms.
|
|
Write a brief summary of your investment objective
: Write a brief summary of your investment objective for each of the five stocks that you select for your portfolio in Part 1. There are three major stock investment objectives.
|
|
Evaluate the company liquidity
: Evaluate the company's liquidity relative to the industry averages and to the competitor that you chose. Evaluate the company's solvency relative to the industry averages and to the competitor that you chose
|
|
What issues does ebays top management need to address
: Based on your analysis of the industry and eBay's situation, what problems and issues does eBay's top management need to address? Which ones are top priorities?
|
|
Sketch the tolerance bounds on the magnitude of frequency
: Assume, as in that example, that aliasing will not be a problem; i.e., design the continuoustime Butterworth filter to meet passband and stopband specifications as determined by the desired discrete-time filter.
|
|
Define the income elasticity of demand
: Define the income elasticity of demand? What information does it provide? How is it calculated? Define the cross-price elasticity of demand? What information does it provide? How is it calculated?
|
|
Identify premises listed under either the pro or con section
: From the Procon.org Website, identify three premises (reasons) listed under either the Pro or Con section - whichever section opposes your position.
|
|
Determine the power density spectrum of the output noise
: If the products are rounded as described in part (a), the output can be represented as yˆ[n] = y[n] + f [n] where y[n] is the output owing to x[n] acting alone, and f [n] is the total output due to all the noise sources acting independently. Deter..
|
|
Analyzing statement of cash flow
: Also one page on analyzing Statement of cash flow: Are cash flows from operations more or less then net income for the past two years? And one page on analyzing one significant item from the notes to the financial statements
|