## Recent **Performance Management** Questions & Answers

###### Derive the multiplication property of the DFT.
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##### Derive the multiplication property of the DFT.
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###### Derive the DFT of x[(−n)N].
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##### Derive the DFT of x[(−n)N].
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###### X[n] is the input to a digital to analog converter that is connected to a linear amplifier leading to a speaker. If
x[n] = cos(2pi(1224n)/1190) for...

##### X[n] is the input to a digital to analog converter that is connected to a linear amplifier leading to a speaker. If
x[n] = cos(2pi(1224n)/1190) for - infinity < n < infinity and the sample rate Fs = 30,800:
What is the frequency f belonging to the interval (-1/2, 1/2)?
What is the period N ...

###### If x[n] = x*[n] is a real-valued sequence, then the DTFT X(f) has Hermitian symmetry (X(F) = X*(-f)).
Let X(f) = Xreal(f) + jXimag(f), where Xreal(...

##### If x[n] = x*[n] is a real-valued sequence, then the DTFT X(f) has Hermitian symmetry (X(F) = X*(-f)).
Let X(f) = Xreal(f) + jXimag(f), where Xreal(f) = 1/2[X(f) + X*(f)] and Ximg(f) = 1/j2[X(f) - X*(f)]
How does one prove that the phase of X(f) is odd and the magnitude of X(f) is eve...

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1. A water heater needs to be replaced after 20 years of operation at a cost of $1,000. What amount must be deposited today with 1% intere...

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1. A water heater needs to be replaced after 20 years of operation at a cost of $1,000. What amount must be deposited today with 1% interest so that one can buy the replacement boiler after 20 years? How much should the interest rate be on a deposit of $500? 2. Define the inflation rate...

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1. A loan of $2,000 is made at an interest rate of 7% when the inflation rate is 10% and paid in one installment after 1 year. Calculate t...

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1. A loan of $2,000 is made at an interest rate of 7% when the inflation rate is 10% and paid in one installment after 1 year. Calculate the amount paid. What is the difference between this result and the result obtained if the inflation is ignored? 2. Explain the importance of price es...

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Electrical energy costs increase at a rate of 0.5% yearly. An amount of capital C is invested today in a field of solar panels that produc...

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Electrical energy costs increase at a rate of 0.5% yearly. An amount of capital C is invested today in a field of solar panels that produce electricity that is sold at an annually levelized cost A. What is the levelized cost per unit of invested capital so that the capital is recovered a...

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Fuel price increases at the real rate of rper = 1% per year. In these conditions a gas cooker is replaced with a solar cooker with the cap...

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Fuel price increases at the real rate of rper = 1% per year. In these conditions a gas cooker is replaced with a solar cooker with the capital cost C that is ten times larger than the total cost paid on fuel for the first year. The real discount rate is rr = 7% per annum. Calculate in ho...

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1. What is cost levelizing and what is its importance? 2. What is depreciation and what is its impact in economic calculations? 3. Defin...

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1. What is cost levelizing and what is its importance? 2. What is depreciation and what is its impact in economic calculations? 3. Define the life-cycle cost and explain how life-cycle cost analysis is performed. 4. What is life-cycle savings and what is the difference between life-cy...

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1. Open fi le P12-30 and determine the fault. 2. Open fi le P12-31 and determine the fault. 3. Open fi le P12-32 and determine the fault....

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1. Open fi le P12-30 and determine the fault. 2. Open fi le P12-31 and determine the fault. 3. Open fi le P12-32 and determine the fault. 4. Open fi le P12-33 and determine the fault.
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