![Question # 4(a) a. Time period of x(t) Cos(10Tmt) issec b. Time period of x(t) Cos(10Tt) +Cos (50Tt) issec c. Frequency of x(t) Cos(10mt) isHz d. Frequency ofx(t) Cos(10mt) + Cos(50πt) is- --Hz e. Phase spectrum is anfunction of frequency. f. Magnitude spectrum is an g To check stability in time domain, a system H(s) is stable if and only if function of frequency. h. To check stability in time domain, a system ht) is stable if and only if i. Bandwidth of x(t) = Cos(50mt) is Hz j. Convolution in time domain is equivalent to in frequency domain. Question # 4 (b) 12x 5 10 points ] k. According to Fourier analysis any periodic signal can be expressed as sum of DC component, and waves, regardless of l. What is Gibbs phenomena.](http://img.homeworklib.com/questions/bddbcdf0-5e85-11eb-82c1-d33ac8bee0c8.png?x-oss-process=image/resize,w_560)
Homework Answers
the answers of F and E are in altered maner
if you have any quires please comment
thankyou
Add Answer to:
Clear steps, please.
Question # 4(a) a. Time period of x(t) Cos(10Tmt) issec b. Time period...
(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...
(a) Determine the Fourier transform of x(t) 26(t-1)-6(t-3) (b) Compute the convolution sum of the following signals, (6%) [696] (c) The Fourier transform of a continuous-time signal a(t) is given bel...
(a) Determine the Fourier transform of x(t) 26(t-1)-6(t-3) (b) Compute the convolution sum of the following signals, (6%) [696] (c) The Fourier transform of a continuous-time signal a(t) is given below. Determine the [696] total energy of (t) 4 sin w (d) Determine the DC value and the average power of the following periodic signal. (6%) 0.5 0.5 (e) Determine the Nyquist rate for the following signal. (6%) x(t) = [1-0.78 cos(50nt + π/4)]2. (f) Sketch the frequency spectrum of...
QUESTION 4 For the signal m(t) = 3 cos(1200nt) + Scos(1500ft) and the carrier frequency fc...
QUESTION 4 For the signal m(t) = 3 cos(1200nt) + Scos(1500ft) and the carrier frequency fc = 20 KHz 1. Find SSB/USB in time domain and 2. Sketch the Spectrum of SSB/USB (frequency domain) 3. Find the bandwidth of the SSB/USB Arial24191) TE STEMME
( ) A- When we compress a signal in the time domain, we also compress its...
( ) A- When we compress a signal in the time domain, we also compress its spectrum in the frequency domain. B- Frequency shifting can be done by multiplying the signal by a sinusoidal signal in the time domain. C- Let the bandwidth of m(t) be B Hz, then the bandwidth of alt) = { mº(t)dt is 2B Hz. 2- Find the inverse Fourier transform of Y (@): [4 Points). M(O) m (1) s(t)=1 ejet 218(0-0) cos o,t [8(0-0.)+d(0+0.)] g(t)e...
Problem 1 A sinusodial signal x(t)- sin2t (t in seconds) is input to a system with frequency resp...
Problem 1 A sinusodial signal x(t)- sin2t (t in seconds) is input to a system with frequency response: H(G What signal y(t) is observed at the output? Problem 2 The inverse Fourier transform of a system frequency response is given by h(t)t. The signal x(t) 3 cos(4t 0.5) is input to the system (t in seconds). (a) What is the expression of the signal y(t) at the system output? (b) What is the power attenuation in dB caused by the...
1. A certain function of time x (t) has the Fourier transform X(f) shown below Sketch...
1. A certain function of time x (t) has the Fourier transform X(f) shown below Sketch the spectrum of [x(t)]2 and find its bandwidth. Sketch the spectrum of [x(t)cos(2r15t)] and find its bandwidth. a. b. 11 -10 9 9 10 11
Calculate the Fourier transformation of the signal x(t) = cos(200πt)sin(800t), Plot the am plitude and phase...
Calculate the Fourier transformation of the signal x(t) = cos(200πt)sin(800t), Plot the am plitude and phase of its spectrum in frequency domain. (10 points) 2.
QUESTION 2 (20 MARKS) (a) A continuous time signal x(t) = 3e2tu(-t) is an input to...
QUESTION 2 (20 MARKS) (a) A continuous time signal x(t) = 3e2tu(-t) is an input to a Linear Time Invariant system of which the impulse response h(t) is shown as h(t) = { .. 12, -osts-2 elsewhere Compute the output y(t) of the system above using convolution in time domain for all values of time t. [8 marks) (b) The impulse response h[n] of an LTI system is given as a[n] = 4(0.6)”u[n] Determine if the system is stable. [3...
For a continuous time linear time-invariant system, the input-output relation is the following (x(t) the input, y(t) the...
For a continuous time linear time-invariant system, the
input-output relation is the following (x(t) the input, y(t)
the
output):
, where h(t) is the impulse response function of the
system.
Please explain why a signal like e/“* is always an eigenvector
of
this linear map for any w. Also, if ¥(w),X(w),and H(w) are
the
Fourier transforms of y(t),x(t),and h(t), respectively.
Please
derive in detail the relation between Y(w),X(w),and H(w),
which means to reproduce the proof of the basic convolution
property...
4 a. y(t)-x(t)cos(t/2 b. y(t)-x(t)cos(') x()cos(21) c. X (ju) 5. The signals y(t) in 4a-4e are...
4 a. y(t)-x(t)cos(t/2 b. y(t)-x(t)cos(') x()cos(21) c. X (ju) 5. The signals y(t) in 4a-4e are passed through a filter with unit impulse response h(t) so that the output is z(t)-h(t)*y(t) . Ifthe frequency response of the filter is sketch by hand the Fourier transforms Z(j for 4a-4e Fromjust observing your sketches of Z (jo), which z(1) if any in a-e equal to the original
(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...
(a) Determine the Fourier transform of x(t) 26(t-1)-6(t-3) (b) Compute the convolution sum of the following signals, (6%) [696] (c) The Fourier transform of a continuous-time signal a(t) is given below. Determine the [696] total energy of (t) 4 sin w (d) Determine the DC value and the average power of the following periodic signal. (6%) 0.5 0.5 (e) Determine the Nyquist rate for the following signal. (6%) x(t) = [1-0.78 cos(50nt + π/4)]2. (f) Sketch the frequency spectrum of...
QUESTION 4 For the signal m(t) = 3 cos(1200nt) + Scos(1500ft) and the carrier frequency fc = 20 KHz 1. Find SSB/USB in time domain and 2. Sketch the Spectrum of SSB/USB (frequency domain) 3. Find the bandwidth of the SSB/USB Arial24191) TE STEMME
( ) A- When we compress a signal in the time domain, we also compress its spectrum in the frequency domain. B- Frequency shifting can be done by multiplying the signal by a sinusoidal signal in the time domain. C- Let the bandwidth of m(t) be B Hz, then the bandwidth of alt) = { mº(t)dt is 2B Hz. 2- Find the inverse Fourier transform of Y (@): [4 Points). M(O) m (1) s(t)=1 ejet 218(0-0) cos o,t [8(0-0.)+d(0+0.)] g(t)e...
Problem 1 A sinusodial signal x(t)- sin2t (t in seconds) is input to a system with frequency response: H(G What signal y(t) is observed at the output? Problem 2 The inverse Fourier transform of a system frequency response is given by h(t)t. The signal x(t) 3 cos(4t 0.5) is input to the system (t in seconds). (a) What is the expression of the signal y(t) at the system output? (b) What is the power attenuation in dB caused by the...
1. A certain function of time x (t) has the Fourier transform X(f) shown below Sketch the spectrum of [x(t)]2 and find its bandwidth. Sketch the spectrum of [x(t)cos(2r15t)] and find its bandwidth. a. b. 11 -10 9 9 10 11
Calculate the Fourier transformation of the signal x(t) = cos(200πt)sin(800t), Plot the am plitude and phase of its spectrum in frequency domain. (10 points) 2.
QUESTION 2 (20 MARKS) (a) A continuous time signal x(t) = 3e2tu(-t) is an input to a Linear Time Invariant system of which the impulse response h(t) is shown as h(t) = { .. 12, -osts-2 elsewhere Compute the output y(t) of the system above using convolution in time domain for all values of time t. [8 marks) (b) The impulse response h[n] of an LTI system is given as a[n] = 4(0.6)”u[n] Determine if the system is stable. [3...
For a continuous time linear time-invariant system, the
input-output relation is the following (x(t) the input, y(t)
the
output):
, where h(t) is the impulse response function of the
system.
Please explain why a signal like e/“* is always an eigenvector
of
this linear map for any w. Also, if ¥(w),X(w),and H(w) are
the
Fourier transforms of y(t),x(t),and h(t), respectively.
Please
derive in detail the relation between Y(w),X(w),and H(w),
which means to reproduce the proof of the basic convolution
property...
4 a. y(t)-x(t)cos(t/2 b. y(t)-x(t)cos(') x()cos(21) c. X (ju) 5. The signals y(t) in 4a-4e are passed through a filter with unit impulse response h(t) so that the output is z(t)-h(t)*y(t) . Ifthe frequency response of the filter is sketch by hand the Fourier transforms Z(j for 4a-4e Fromjust observing your sketches of Z (jo), which z(1) if any in a-e equal to the original
Most questions answered within 3 hours.
-
Mr. and Mrs. Brown report taxable income of $130,000 in 2018. In
addition, they report the...
asked 1 hour ago -
You capture data by having 8 people fill in 30 small dots on a
piece of...
asked 5 hours ago -
What are the z-values such that 70% of the area lies in the
middle of the...
asked 7 hours ago -
You borrow $29,500 to purchase a brand new car. The interest
rate is 6%, and the...
asked 6 hours ago -
The amount of time it takes an asteroid, whose average distance
from the Sun is 4.70...
asked 7 hours ago -
A 0.289 kg mass slides on a frictionless floor with a speed of
1.34 m/s. The...
asked 6 hours ago -
15.A box contains five red balls, three green balls, and two
yellow balls. Suppose you select...
asked 9 hours ago -
Assume you are given the following for Stackelberg industries:
Return on Assets (ROA) = 8%
Debt...
asked 8 hours ago -
an engineer proposes to use mmWave in 5G network to
increase data rate.
What are the...
asked 8 hours ago -
Explain the idea behind using SEMIJOIN in distributed
query processing.
asked 8 hours ago -
why
is context important in selecting and applying guidelines and
principles for interface design?
illustrate your...
asked 8 hours ago -
In a certain board game, a player rolls two fair six-sided dice
until the player rolls...
asked 9 hours ago