Using the definition of power-type and energy-type signals,1. Show that x(t) = Aei(2n fot +®) is a power-type signal and its power contentis A?.A?2. Show that x(t) = A cos(2t fot + 0) is powertype and its power i -3. Show that the unit-step signal u-1(t) is a power-type signal and find its powercontent.4. Show that the signalKr- t>0x(t) :t<0is neither an energy-type nor a power-type signal.

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Answered: Using the definition of power-type and…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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uestion 1 a) As a student of signal and systems, with mathematical representation and graphs, clearly distinguish between a continuous-time step signal and discrete-time step signal Major Topic Elementary Signals Blooms Designation AP Score 7 b) Any signal can be decomposed into its even and odd components. Derive the even and odd component of a signal x(t) and decompose the signal below into its even and odd components. X[n]=3n2-2n+20 Major Topic Even and Odd Signals Blooms Designation AN Score 7 c) Signals and Systems is a discipline that finds application in engineering, science and technology. In your own words, clearly explain the use of signals and systems in astronomy
A system that behaves like x[2n-2] at the output, when a signal is inputinput x[n], is shown on the graph. Is the system invariant?
DIGITAL SIGNAL PROCESSING With two discrete-time signals of x(n) and y(n)are given by image below:Please carefully to sketch and describe briefly (step-by-step) by following signals is x(2n) + y(n-4).
Show that the derivative of a 1-D signal, I=I(x), amplifies the higher frequency components of the signal. Then, prove that even a slight amount of noise n=n(x), can be responsible for a large difference between the derivative I and I+n (Hint: Assume that n can be written as εsin(ωx) for some very small ε and very large ω).
Simplify function F, with don't care conditions d given below, into a Product-of-Sums form. Show all work. F (A, B, C, D) = Σ(2, 4, 7,10, 12) d(A, B, C, D) = Σ(3,9,11, 15) Write everything out.
Simplify the following expression into sum of products using Karnaugh map F(A,B,C,D) = ∑(1,3,4,5,6,7,9,12,13)
5) You are called by a signal processing company and you want to impress company officials within the information you have received in this course. Company officials ask you to design a discrete-time system that outputs x [n] = (1/3) nu [n] - (1/4) nu [n] to y [n] = (1/4) nu [n]. wants. Which of the system options would you design for this? y [n] = 12x [n] + 4x [n + 1] y [n] = 12x [n] - 4 x [n-1] y [n] - y [n-1] / 4 = x [n] / 3 + 4x [n-1] y [n] - y [n-1] / 4 = x [n] / 3 + x [n-1] / 4 y [n] = 12x [n + 1] - 4x [n]
2. For the two continuous-time signals ?(?) shown below, please use decomposition to find and sketch their even ?e(?) and odd ?0(?) components. Be sure to clearly indicate (label) important time and amplitude values in your sketches.
a) Y(ω) = 1/(5+jω) The expression above defines the frequency domain signal Y(ω) from a time domain signal y(t) i) Determine the imaginary & real parts of Y(ω). ii.Determine the signal y(t) that produced the signal Y(ω). b)What are the 3 areas of application of i.Signals ii.Systems c) Briefly summarise with explanation the difference between discrete & continuous time signal and also write an expression that describes each signal type.
If two independent voltage signals, v1(t) and v2(t), are added together to provide a new resulting signal, prove that under certain conditions the resulting signal has the same power as the sum of the individual powers. What are these conditions? What special conditions must apply for this to be valid when the signals are uncorrelated?
a) Read the following signal f(t), (write out the equation using a combination of unit-step and ramp functions) b) Draw f(t+1)
circuit analysis 2 Which of the following is the mathematical writing of the following function in terms of ramp, impulse and / or unit step functions?

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