Consider a sinusoidal signal?(?) = ? cos(?0? + ?). Here ?0 is the angular frequency of the signal and ? is the initial phase shift.
Consider a sinusoidal signal?(?) = ? cos(?0? + ?). Here ?0 is the angular frequency of the signal and ? is the initial phase shift.
a) Draw the time domain signal. (10 Marks)
b) Given that the Fourier transform pair is ? ??? ℱ ↔ 2??(? − ?), find the Fourier Transform ?(?) of ?(?). Here ?(?) is the direct delta function. (12 Marks)
c) Draw the Magnitude and phase spectrums of ?(?). (8 Marks)
d) Find the Fourier Transform of ?(?) = ?(?)?(?) where the message signal ?(?) = rect( ?⁄?) and plot the magnitude spectrum of ?(?). Note that ?(?) ℱ ↔ ?(?) is the Fourier Transform Pair. (10 Marks)
Homework Answers
Request Answer!
We need at least 10 more requests to produce the answer.
0 / 10 have requested this problem solution
The more requests, the faster the answer.
Add Answer to:
Consider a sinusoidal signal?(?) = ? cos(?0? + ?). Here ?0 is the angular frequency of the signal and ? is the initial phase shift.
The message signal m(t) = 2 cos 400t + 3 sin(800t + 22) modulates the carrier...
The message signal m(t) = 2 cos 400t + 3 sin(800t + 22) modulates the carrier signal e(t) A cos(700π) using DSB-SC (dual side band, suppressed carrier) modulations Find the time domain and frequency domain representation of the modulated signal and plot the spectrum (Fourier transform) of the modulated signal. What is power content of the modulated signal?
Exercises: u used to the instructor b the end of next lab. 20 102 Plot the f(t)-sinc(20r) cos(300...
Exercises: u used to the instructor b the end of next lab. 20 102 Plot the f(t)-sinc(20r) cos(300t)sinc (10t) cos(100t) Use the fast Fourier transform to find the magnitude and phase spectrum of the signal and plot over an appropriate range. Use appropriate values for the time interval and the sampling interval. Note that in Matlab sinc(x)-, so we need to divide the argument by n to make it match the given function. Le, sinc(20t/pi) Hint: Use the parameters from...
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.
Using QAM we wish to transmit the following baseband message signals Bcos (w t a) Show the time and frequency domain expression for the transmitted signal. Also, plot the magnitude of the frequency d...
Using QAM we wish to transmit the following baseband message signals Bcos (w t a) Show the time and frequency domain expression for the transmitted signal. Also, plot the magnitude of the frequency domain representation of the signal. b) On the receiver end, we demodulate the received signal by multiplying with 2cos(Wet +Au). Derive the expression of the demodulated signal in the time domain, before low-pass filtering. c) Derive the Fourier Transform of the demodulated signal.
Using QAM we wish...
Suppose a digital data signal b(t) is transmitted using Binary Phase Shift Keying (BPSK) modulati...
please show all steps and explaination
Suppose a digital data signal b(t) is transmitted using Binary Phase Shift Keying (BPSK) modulation. a. If the digital data signal b(t) is NRZ binary waveform with bit rate of 1 Mbps and the 2. modulation carrier frequency is 10 MHz, provide an approximate magnitude plot of the frequency spectrum. What is the required bandwidth of this BPSK modulated signal? What happens if you half the bit rate? Provide an approximate magnitude plot of...
7 (10pt) Signal s(t) is created by multiplying a rectangular pulse with a sinusoidal signal: s(t) A cos(2mfet) rect where rect(t) is a rectangular pulse with width 1 and amplitude 1 which occupies -0...
7 (10pt) Signal s(t) is created by multiplying a rectangular pulse with a sinusoidal signal: s(t) A cos(2mfet) rect where rect(t) is a rectangular pulse with width 1 and amplitude 1 which occupies -0.5 to 0.5 in time domain. Please find out s(t)'s null-to-null bandwidth.
7 (10pt) Signal s(t) is created by multiplying a rectangular pulse with a sinusoidal signal: s(t) A cos(2mfet) rect where rect(t) is a rectangular pulse with width 1 and amplitude 1 which occupies -0.5 to...
1. Draw frequency domain representations (sketches of the real and imaginary parts of the Fourier transform)...
1. Draw frequency domain representations (sketches of the real and imaginary parts of the Fourier transform) for both cos(2*pi*fc*t) and sin(2*pi*fc*t), for a carrier waveform. ____________________ Now suppose we have a sinusoidal signal of frequency fi, where fi << fc. Let the signal be m(t)=cos(2*pi*fi*t) and the carrier be cos(2*pi*fc*t). Say we mix m(t) up to carrier frequency fc when we multiply m(t) by the carrier to create the modulated signal, s(t) = m(t) * cos(2*pi*fc*t). Draw the real part...
Consider frequency modulation with a sinusoidal message signal (tone modulation) m(t) = a cos(2πfmt). The modulated...
Consider frequency modulation with a sinusoidal message signal (tone modulation) m(t) = a cos(2πfmt). The modulated signal is: vFM(t) = Ac cos[2πfct + βf sin(2πfmt)]. with βf = kfa/fm being the modulation index. What is the bandwidth of the modulated signal.
Consider frequency modulation with a sinusoidal message signal (tone modulation) m(t) = a cos(2πfmt). The modulated...
Consider frequency modulation with a sinusoidal message signal (tone modulation) m(t) = a cos(2πfmt). The modulated signal is: vFM(t) = Ac cos[2πfct + βf sin(2πfmt)]. with βf = kfa/fm being the modulation index. What is the bandwidth of the modulated signal.
Write a Matlab code to generate the signal y(t)=10*(cos(2*pi*f1*t)+ cos(2*pi*f2*t)+ cos(2*pi*f3*t)), where f1=500 Hz, f2=750 Hz...
Write a Matlab code to generate the signal y(t)=10*(cos(2*pi*f1*t)+ cos(2*pi*f2*t)+ cos(2*pi*f3*t)), where f1=500 Hz, f2=750 Hz and f3=1000 Hz. Plot the signal in time domain. Sketch the Fourier transform of the signal with appropriately generating frequency axis. Apply an appropriate filter to y(t) so that signal part with frequency f1 can be extracted. Sketch the Fourier transform of the extracted signal. Apply an appropriate filter to y(t) so that signal part with frequency f2 can be extracted. Sketch the Fourier...
The message signal m(t) = 2 cos 400t + 3 sin(800t + 22) modulates the carrier signal e(t) A cos(700π) using DSB-SC (dual side band, suppressed carrier) modulations Find the time domain and frequency domain representation of the modulated signal and plot the spectrum (Fourier transform) of the modulated signal. What is power content of the modulated signal?
Exercises: u used to the instructor b the end of next lab. 20 102 Plot the f(t)-sinc(20r) cos(300t)sinc (10t) cos(100t) Use the fast Fourier transform to find the magnitude and phase spectrum of the signal and plot over an appropriate range. Use appropriate values for the time interval and the sampling interval. Note that in Matlab sinc(x)-, so we need to divide the argument by n to make it match the given function. Le, sinc(20t/pi) Hint: Use the parameters from...
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.
Using QAM we wish to transmit the following baseband message signals Bcos (w t a) Show the time and frequency domain expression for the transmitted signal. Also, plot the magnitude of the frequency domain representation of the signal. b) On the receiver end, we demodulate the received signal by multiplying with 2cos(Wet +Au). Derive the expression of the demodulated signal in the time domain, before low-pass filtering. c) Derive the Fourier Transform of the demodulated signal.
Using QAM we wish...
please show all steps and explaination
Suppose a digital data signal b(t) is transmitted using Binary Phase Shift Keying (BPSK) modulation. a. If the digital data signal b(t) is NRZ binary waveform with bit rate of 1 Mbps and the 2. modulation carrier frequency is 10 MHz, provide an approximate magnitude plot of the frequency spectrum. What is the required bandwidth of this BPSK modulated signal? What happens if you half the bit rate? Provide an approximate magnitude plot of...
7 (10pt) Signal s(t) is created by multiplying a rectangular pulse with a sinusoidal signal: s(t) A cos(2mfet) rect where rect(t) is a rectangular pulse with width 1 and amplitude 1 which occupies -0.5 to 0.5 in time domain. Please find out s(t)'s null-to-null bandwidth.
7 (10pt) Signal s(t) is created by multiplying a rectangular pulse with a sinusoidal signal: s(t) A cos(2mfet) rect where rect(t) is a rectangular pulse with width 1 and amplitude 1 which occupies -0.5 to...
Most questions answered within 3 hours.
-
Jensen and Associates has a projected balance
sheet that includes the following accounts. What is the...
asked 3 minutes ago -
implement a doubly-linked list in C. Each node in the linked list should contain a string,...
asked 25 minutes ago -
What are some best practices and things to avoid when developing
a PowerPoint presentation or file
asked 28 minutes ago -
Consider the ways that the government can get involved in
economic issues. What role do you...
asked 4 minutes ago -
Sodium carbonate is added to the tea mixture, in part, to form
the sodium salt of...
asked 26 minutes ago -
he plant started to purify its wastewater before discharging it
into the lake. How long will...
asked 45 minutes ago -
Thiazyl fluoride, F3NS is a colourless gas. Using concepts of
electronegativity, formal charge etc. determine the...
asked 48 minutes ago -
1. Why is an explicit inflation target a bad policy?
2. MV=PQ If M grows, then...
asked 21 minutes ago -
A 1.50 kg sample of water at 15.0°C is in a calorimeter. You
drop a piece...
asked 47 minutes ago -
For the assignment this week, use Microsoft Word or Microsoft
Excel to create your own Comparing...
asked 23 minutes ago -
Pratt Company acquired all of Spider, Inc.’s outstanding shares
on December 31, 2018, for $510,100 cash....
asked 25 minutes ago -
A
firm purchased telephone equipment for cash. By mistake, the person
who recorded the transaction debited...
asked 47 minutes ago