Maurice Tutor

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Algebra,Applied Sciences,Biology,Calculus,Chemistry,Economics,English,Essay writing,Geography,Geology,Health & Medical,Physics,Science Hide all
Teaching Since: May 2017
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  • MCS,PHD
    Argosy University/ Phoniex University/
    Nov-2005 - Oct-2011

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  • Professor
    Phoniex University
    Oct-2001 - Nov-2016

Category > Management Posted 11 Jul 2017 My Price 12.00

numbers in Cartesian (rectangular) form

In order to get best answer, please show all work and explain. Do not guess. Thanks in advance!

1. Express the following numbers in Cartesian (rectangular) form.

   e^(jpi/4)

   e^(-jpi/4)

2. Express the following numbers in polar form. Describe the quadrant of the complex plane, in which the complex number is located.

   1 + j1

   1 - j1

   -1 + j1

   -1 - j1

3(a) A continuous-time sine wave has a frequency of 60 Hz, an amplitude of 117 V, and an initial phase of pi/4 radians. Describe this signal in a mathematical form using the Sin function.

3(b) Determine the period of the signal. Be sure to mention the units of the period.

3(c) Describe this signal in a complex exponential form (see pages 16A????117 of the text).

4. A sinusoidal signal described by 50 Cos (20pit + pi/4) passes through a linear time invariant (LTI) system that applies a gain of 1.5 and a phase lag of pi/2 radians to the signal. Write the mathematical expression that describes the signal that will come out of the LTI system.

5. A sinusoidal signal described by 20 Cos (2pit + pi/4) passes through a linear time invariant (LTI) system that applies a gain of 2 and a time delay of 0.125 seconds to the signal. Write the mathematical expression that describes the signal that will come out of the LTI system.

6. Apply the principle of superposition to determine whether the following systems are linear. Sketch what the plot of the function looks like.

(a) Y = 5x + 1
(b) Y = 5x
(c) Y = 5X2

7. A continuous time system, described by y(t) = 5 Cos (2*pi*20*t + pi/2), is sampled at a rate 320 Hz.

(a) Write the mathematical expression that describes the discrete time (sampled) signal.
(b) Calculate the value of the discrete signal for n = 0 and n = 4.
(c) Does the sampling rate meet the Nyquist condition? Justify your answer.

8. Sketch the odd and even part of the following discrete signal.
Image for In order to get best answer, please show all work and explain. Do not guess. Thanks in advance! 1. Express the

9. Express the signal given in Problem 8 as the sum of the following.

(a) Delayed and undelayed (if any) impulses
(b) Delayed and undelayed (if any) step functions.

Show transcribed image text In order to get best answer, please show all work and explain. Do not guess. Thanks in advance! 1. Express the following numbers in Cartesian (rectangular) form. e^(jpi/4) e^(-jpi/4) 2. Express the following numbers in polar form. Describe the quadrant of the complex plane, in which the complex number is located. 1 + j1 1 - j1 -1 + j1 -1 - j1 3(a) A continuous-time sine wave has a frequency of 60 Hz, an amplitude of 117 V, and an initial phase of pi/4 radians. Describe this signal in a mathematical form using the Sin function. 3(b) Determine the period of the signal. Be sure to mention the units of the period. 3(c) Describe this signal in a complex exponential form (see pages 16 17 of the text). 4. A sinusoidal signal described by 50 Cos (20pit + pi/4) passes through a linear time invariant (LTI) system that applies a gain of 1.5 and a phase lag of pi/2 radians to the signal. Write the mathematical expression that describes the signal that will come out of the LTI system. 5. A sinusoidal signal described by 20 Cos (2pit + pi/4) passes through a linear time invariant (LTI) system that applies a gain of 2 and a time delay of 0.125 seconds to the signal. Write the mathematical expression that describes the signal that will come out of the LTI system. 6. Apply the principle of superposition to determine whether the following systems are linear. Sketch what the plot of the function looks like. (a) Y = 5x + 1 (b) Y = 5x (c) Y = 5X2 7. A continuous time system, described by y(t) = 5 Cos (2*pi*20*t + pi/2), is sampled at a rate 320 Hz. (a) Write the mathematical expression that describes the discrete time (sampled) signal. (b) Calculate the value of the discrete signal for n = 0 and n = 4. (c) Does the sampling rate meet the Nyquist condition? Justify your answer. 8. Sketch the odd and even part of the following discrete signal. 9. Express the signal given in Problem 8 as the sum of the following. (a) Delayed and undelayed (if any) impulses (b) Delayed and undelayed (if any) step functions

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Maurice Tutor
(5)
Status NEW Posted 11 Jul 2017 01:07 PM My Price 12.00

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