Homework Answers
![N- 4 ta) undomen tal requen N-1 1- 2 千 h--1 ·祁] 2](http://img.homeworklib.com/images/69df4cc5-fb46-4408-9eb8-13b8f4ee1f20.png?x-oss-process=image/resize,w_560)
Add Answer to:
4. (20 pts) Consider the N-periodic square wave given by 1, 1 sns1 (a) (10 pts) What is the funda...
Q4 [10 pts] Let x[n] = {1, Osns 7 10. 8 00 be a periodic signal...
Q4 [10 pts] Let x[n] = {1, Osns 7 10. 8 00 be a periodic signal with fundamental period N = 10 and Fourier series coefficients ag. Also, let 8[n] = x[n] - x[n - 1). (a) Show that g(n) has a fundamental period of 10. (b) Determine the Fourier series coefficients of g[n].
Consider the following CT periodic signals x(t), y(t) and z(t) a(t) 5 -4 y(t) 5/-4 z(t)...
Consider the following CT periodic signals x(t), y(t) and z(t) a(t) 5 -4 y(t) 5/-4 z(t) 5 4 (a) [2 marks] Find the Fourier series coefficients, ak, for the CT signal r(t), which is a periodic rectangular wave. You must use the fundamental frequency of r(t) in constructing the Fourier series representation (b) [2 marks] Find the Fourier series coefficients, bk, for the CT signal y(t) cos(t) You must use the fundamental frequency of y(t) in constructing the Fourier series...
Problem (3) a) A periodic square wave signal x(t) is shown below, it is required to answer the below questions: x(t) 1. What is the period and the duration of such a signal? 2. Determine the fund...
Problem (3) a) A periodic square wave signal x(t) is shown below, it is required to answer the below questions: x(t) 1. What is the period and the duration of such a signal? 2. Determine the fundamental frequency. 3. Calculate the Trigonometric Fourier Series and sketch the amplitude spectrum and phase spectrum of the signal x(t) for the first 5 harmonics. b) Find the Continuous Time Fourier Series (CTFS) and Continuous Time Fourier Transform (CTFT) of the following periodic signals...
20 points) Consider the periodic signal z(t) shown in the Figure below: X(t) 3 2 N....
20 points) Consider the periodic signal z(t) shown in the Figure below: X(t) 3 2 N. 0 1 2 3 4 5 6 A . Determine the fundamental period T and the fundamental frequency wo. B. Compute the Fourier Series coefficients and simplify the expression to its simplest form.
4. (20 points) Consider the periodic signal r(t) shown in the Figure below: x(t) 3 2...
4. (20 points) Consider the periodic signal r(t) shown in the Figure below: x(t) 3 2 N VAA 0 1 2 3 4 5 6 A . Determine the fundamental period T and the fundamental frequency wo. B. Compute the Fourier Series coefficients and simplify the expression to its simplest form.
4. (20 points) Consider the periodic signal z(t) shown in the Figure below: x(t) 1 1...
4. (20 points) Consider the periodic signal z(t) shown in the Figure below: x(t) 1 1 3 2 - - 1 1 0 1 2 3 4 5 6 t A . Determine the fundamental period T and the fundamental frequency wo. B. Compute the Fourier Series coefficients and simplify the expression to its simplest form.
Problem 1 (20 pts) Suppose that x(t) = e 2 for 0 st <3 and is...
Problem 1 (20 pts) Suppose that x(t) = e 2 for 0 st <3 and is periodic with period 3. a) Determine the fundamental frequency of this signal. (2 pts) b) Determine the Fourier series representation for this signal. (7 pts) c) Suppose that this signal is the input to an LTI system with impulse response h(t) = 5sinc(0.5t). Determine the Fourier series representation for the output signal y(t). Be sure to specify the fundamental period and all Fourier series...
According to the Fourier series, a periodic sine wave has (select one): (a) The fundamental frequency...
According to the Fourier series, a periodic sine wave has
(select one): (a) The fundamental frequency only (b) Even Harmonic
waveforms (c) Odd Harmonic Waveforms
Consider the previous problem again. What is the bandwidth
associated with it? Answer:
According to the Fourier series, a periodic square wave has
(select one): (a) The fundamental frequency only (b) Even Harmonic
waveforms (c) Odd Harmonic Waveforms
Consider the previous problem again. What is the bandwidth
associated with it?
21. According to the Fourier...
(a) Determine the period, amplitude, and frequency of a signal given by, v(t) (120nt). Plot this ...
(a) Determine the period, amplitude, and frequency of a signal given by, v(t) (120nt). Plot this signal both in the time-domain and frequency domain. (b) For the following square wave v(t), determine if it is a periodic signal, and if yes, what 10 V sin 4. [61 are its amplitude, period T and fundamental frequency f? Why do we need to convert this signal into sine/cosine wave for transmission? 2 o-oims (c) () According to Fourier Theorem, the above signal...
EXAMPLE 4.2 Fourier series of a square wave Consider the square wave of Figure 4.4. This signal i...
in MATLAB plot the following
EXAMPLE 4.2 Fourier series of a square wave Consider the square wave of Figure 4.4. This signal is common in physical systems. For ex- ample, this signal appears in many electronic oscillators as an intermediate step in the gener ation of a sinusoid We now calculate the Fourier coefficients of the square wave. Because V, 0< t < To/2 x(t) = from (4.23), it follows that ToJTo2 To/2 - e ikast To/2 The values at...
Q4 [10 pts] Let x[n] = {1, Osns 7 10. 8 00 be a periodic signal with fundamental period N = 10 and Fourier series coefficients ag. Also, let 8[n] = x[n] - x[n - 1). (a) Show that g(n) has a fundamental period of 10. (b) Determine the Fourier series coefficients of g[n].
Consider the following CT periodic signals x(t), y(t) and z(t) a(t) 5 -4 y(t) 5/-4 z(t) 5 4 (a) [2 marks] Find the Fourier series coefficients, ak, for the CT signal r(t), which is a periodic rectangular wave. You must use the fundamental frequency of r(t) in constructing the Fourier series representation (b) [2 marks] Find the Fourier series coefficients, bk, for the CT signal y(t) cos(t) You must use the fundamental frequency of y(t) in constructing the Fourier series...
Problem (3) a) A periodic square wave signal x(t) is shown below, it is required to answer the below questions: x(t) 1. What is the period and the duration of such a signal? 2. Determine the fundamental frequency. 3. Calculate the Trigonometric Fourier Series and sketch the amplitude spectrum and phase spectrum of the signal x(t) for the first 5 harmonics. b) Find the Continuous Time Fourier Series (CTFS) and Continuous Time Fourier Transform (CTFT) of the following periodic signals...
20 points) Consider the periodic signal z(t) shown in the Figure below: X(t) 3 2 N. 0 1 2 3 4 5 6 A . Determine the fundamental period T and the fundamental frequency wo. B. Compute the Fourier Series coefficients and simplify the expression to its simplest form.
4. (20 points) Consider the periodic signal r(t) shown in the Figure below: x(t) 3 2 N VAA 0 1 2 3 4 5 6 A . Determine the fundamental period T and the fundamental frequency wo. B. Compute the Fourier Series coefficients and simplify the expression to its simplest form.
4. (20 points) Consider the periodic signal z(t) shown in the Figure below: x(t) 1 1 3 2 - - 1 1 0 1 2 3 4 5 6 t A . Determine the fundamental period T and the fundamental frequency wo. B. Compute the Fourier Series coefficients and simplify the expression to its simplest form.
Problem 1 (20 pts) Suppose that x(t) = e 2 for 0 st <3 and is periodic with period 3. a) Determine the fundamental frequency of this signal. (2 pts) b) Determine the Fourier series representation for this signal. (7 pts) c) Suppose that this signal is the input to an LTI system with impulse response h(t) = 5sinc(0.5t). Determine the Fourier series representation for the output signal y(t). Be sure to specify the fundamental period and all Fourier series...
According to the Fourier series, a periodic sine wave has
(select one): (a) The fundamental frequency only (b) Even Harmonic
waveforms (c) Odd Harmonic Waveforms
Consider the previous problem again. What is the bandwidth
associated with it? Answer:
According to the Fourier series, a periodic square wave has
(select one): (a) The fundamental frequency only (b) Even Harmonic
waveforms (c) Odd Harmonic Waveforms
Consider the previous problem again. What is the bandwidth
associated with it?
21. According to the Fourier...
(a) Determine the period, amplitude, and frequency of a signal given by, v(t) (120nt). Plot this signal both in the time-domain and frequency domain. (b) For the following square wave v(t), determine if it is a periodic signal, and if yes, what 10 V sin 4. [61 are its amplitude, period T and fundamental frequency f? Why do we need to convert this signal into sine/cosine wave for transmission? 2 o-oims (c) () According to Fourier Theorem, the above signal...
in MATLAB plot the following
EXAMPLE 4.2 Fourier series of a square wave Consider the square wave of Figure 4.4. This signal is common in physical systems. For ex- ample, this signal appears in many electronic oscillators as an intermediate step in the gener ation of a sinusoid We now calculate the Fourier coefficients of the square wave. Because V, 0< t < To/2 x(t) = from (4.23), it follows that ToJTo2 To/2 - e ikast To/2 The values at...
Most questions answered within 3 hours.
-
Is the rate of human population growth the most urgent issue we
face, or is there...
asked 13 seconds from now -
A smoke detector system uses two devices, A and B. If smoke is
present, the probability...
asked 1 minute ago -
The fact that there are high cache miss rates for programs with
binary executables of 100s...
asked 3 minutes ago -
ACME manufacturing is a low-cost producer of a single, commodity
product: RGL-01. Standard overhead cost information...
asked 4 minutes ago -
answer the below qestion in term of marketing in “personal
selling steps”
( Question )
Consider...
asked 24 minutes ago -
Why
are large,multinational firms more likely to be concerned about
CSR?Why are lifestyle brands more susceptible...
asked 24 minutes ago -
Under normal use conditions, the Mean Time To Failure of a
heating coil can be modeled...
asked 26 minutes ago -
A student holds a ruler by one end (x=0 where the student holds
it). The student...
asked 26 minutes ago -
People are most likely to believe their ancestors play an active
role in their lives in...
asked 27 minutes ago -
A speeding car is traveling along a straight road with a
constant speed of 100 km/hour....
asked 44 minutes ago -
When 60.1 gg of calcium is reacted with nitrogen gas, 31.7 gg of
calcium nitride is...
asked 49 minutes ago -
The random variable X is exponentially distributed, where X
represents the time it takes for a...
asked 1 hour ago