N - = Consider a pair of independently modulated signals, uc(t) = Σn=1 bc[n]p(t − n) and us(t) Σbs[n]p(tn), where the symbols be[n], b¸ [n] are chosen with equal probability to be +1 and -1, and p(t) = [[0,1](t) is a rectangular pulse. Let N = 100. (1.1) Use Matlab to plot a typical realization of uc(t) and us (t) over 10 symbols. Make sure you sample fast enough for the plot to look reasonably "nice." (1.2) Upconvert the baseband waveform uc(t) to get Up,1(t) = u(t) cos 40πt This is a so-called binary phase shift keyed (BPSK) signal, since the changes in phase due to the changes in the signs of the transmitted symbols. Plot the passband signal up,1(t) over four symbols (you will need to sample at a multiple of the carrier frequency for the plot to look nice, which means you might have to go back and increase the sampling rate beyond what was required for the baseband plots to look nice). (1.3) Now, add in the Q component to obtain the passband signal up(t) = u(t) cos 40πt - us(t) sin 40πt == Plot the resulting Quaternary Phase Shift Keyed (QPSK) signal up (t) over four symbols. (1.4) Downconvert up (t) by passing 2up (t) cos(40πt + 0) and 2up (t) sin(40πt + 0) through crude lowpass filters with impulse response h(t) [0,0.25] (t). Denote the resulting I and Q components = == by vc(t) and us (t), respectively. Plot vc and vs for 0 over 10 symbols. How do they compare to uc and us? Can you read off the corresponding bits be[n] and b,[n] from eyeballing the plots for vc and us? (1.5) Plot vc and v, for 0 =π/4. How do they compare to uc and us? Can you read off the corresponding bits b₁[n] and b¸ [n] from eyeballing the plots for vc and us? (1.6) Figure out how to recover uc and us from Vc and Vs if a genie tells you the value of 0 (we are looking for an approximate reconstruction-the LPFs used in downconversion are non-ideal, and the original waveforms are not exactly bandlimited). Check whether your method for undoing the phase offset works for 0 = π/4, the scenario in (1.5). Plot the resulting reconstructions uc and us, and compare them with the original I and Q components. Can you read off the corresponding bits be[n] and b,[n] from eyeballing the plots for uc and us?
N - = Consider a pair of independently modulated signals, uc(t) = Σn=1 bc[n]p(t − n) and us(t) Σbs[n]p(tn), where the symbols be[n], b¸ [n] are chosen with equal probability to be +1 and -1, and p(t) = [[0,1](t) is a rectangular pulse. Let N = 100. (1.1) Use Matlab to plot a typical realization of uc(t) and us (t) over 10 symbols. Make sure you sample fast enough for the plot to look reasonably "nice." (1.2) Upconvert the baseband waveform uc(t) to get Up,1(t) = u(t) cos 40πt This is a so-called binary phase shift keyed (BPSK) signal, since the changes in phase due to the changes in the signs of the transmitted symbols. Plot the passband signal up,1(t) over four symbols (you will need to sample at a multiple of the carrier frequency for the plot to look nice, which means you might have to go back and increase the sampling rate beyond what was required for the baseband plots to look nice). (1.3) Now, add in the Q component to obtain the passband signal up(t) = u(t) cos 40πt - us(t) sin 40πt == Plot the resulting Quaternary Phase Shift Keyed (QPSK) signal up (t) over four symbols. (1.4) Downconvert up (t) by passing 2up (t) cos(40πt + 0) and 2up (t) sin(40πt + 0) through crude lowpass filters with impulse response h(t) [0,0.25] (t). Denote the resulting I and Q components = == by vc(t) and us (t), respectively. Plot vc and vs for 0 over 10 symbols. How do they compare to uc and us? Can you read off the corresponding bits be[n] and b,[n] from eyeballing the plots for vc and us? (1.5) Plot vc and v, for 0 =π/4. How do they compare to uc and us? Can you read off the corresponding bits b₁[n] and b¸ [n] from eyeballing the plots for vc and us? (1.6) Figure out how to recover uc and us from Vc and Vs if a genie tells you the value of 0 (we are looking for an approximate reconstruction-the LPFs used in downconversion are non-ideal, and the original waveforms are not exactly bandlimited). Check whether your method for undoing the phase offset works for 0 = π/4, the scenario in (1.5). Plot the resulting reconstructions uc and us, and compare them with the original I and Q components. Can you read off the corresponding bits be[n] and b,[n] from eyeballing the plots for uc and us?
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...
Related questions
Question
please answer 1.1, 1.2, 1.3, 1.4. provide the matlab code and the output graphs. make sure to explain the problem as well. please no chatgpt or any ai generated answer.
![N
-
=
Consider a pair of independently modulated signals, uc(t) = Σn=1 bc[n]p(t − n) and us(t)
Σbs[n]p(tn), where the symbols be[n], b¸ [n] are chosen with equal probability to be +1 and
-1, and p(t) = [[0,1](t) is a rectangular pulse. Let N = 100.
(1.1) Use Matlab to plot a typical realization of uc(t) and us (t) over 10 symbols. Make sure you
sample fast enough for the plot to look reasonably "nice."
(1.2) Upconvert the baseband waveform uc(t) to get
Up,1(t) = u(t) cos 40πt](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0613dd8b-ad08-43ed-a7df-2b58ae36d86a%2Fa0d9c81d-1fdd-4f4b-8e55-ab5d8b4d3d7e%2Fiohwv56_processed.png&w=3840&q=75)
Transcribed Image Text:N
-
=
Consider a pair of independently modulated signals, uc(t) = Σn=1 bc[n]p(t − n) and us(t)
Σbs[n]p(tn), where the symbols be[n], b¸ [n] are chosen with equal probability to be +1 and
-1, and p(t) = [[0,1](t) is a rectangular pulse. Let N = 100.
(1.1) Use Matlab to plot a typical realization of uc(t) and us (t) over 10 symbols. Make sure you
sample fast enough for the plot to look reasonably "nice."
(1.2) Upconvert the baseband waveform uc(t) to get
Up,1(t) = u(t) cos 40πt
![This is a so-called binary phase shift keyed (BPSK) signal, since the changes in phase due to
the changes in the signs of the transmitted symbols. Plot the passband signal up,1(t) over four
symbols (you will need to sample at a multiple of the carrier frequency for the plot to look nice,
which means you might have to go back and increase the sampling rate beyond what was required
for the baseband plots to look nice).
(1.3) Now, add in the Q component to obtain the passband signal
up(t) = u(t) cos 40πt - us(t) sin 40πt
==
Plot the resulting Quaternary Phase Shift Keyed (QPSK) signal up (t) over four symbols.
(1.4) Downconvert up (t) by passing 2up (t) cos(40πt + 0) and 2up (t) sin(40πt + 0) through crude
lowpass filters with impulse response h(t) [0,0.25] (t). Denote the resulting I and Q components
=
==
by vc(t) and us (t), respectively. Plot vc and vs for 0 over 10 symbols. How do they compare
to uc and us? Can you read off the corresponding bits be[n] and b,[n] from eyeballing the plots
for vc and us?
(1.5) Plot vc and v, for 0 =π/4. How do they compare to uc and us? Can you read off the
corresponding bits b₁[n] and b¸ [n] from eyeballing the plots for vc and us?
(1.6) Figure out how to recover uc and us
from Vc and Vs
if a genie tells you the value of 0 (we are
looking for an approximate reconstruction-the LPFs used in downconversion are non-ideal, and
the original waveforms are not exactly bandlimited). Check whether your method for undoing
the phase offset works for 0 = π/4, the scenario in (1.5). Plot the resulting reconstructions uc and
us, and compare them with the original I and Q components. Can you read off the corresponding
bits be[n] and b,[n] from eyeballing the plots for uc and us?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0613dd8b-ad08-43ed-a7df-2b58ae36d86a%2Fa0d9c81d-1fdd-4f4b-8e55-ab5d8b4d3d7e%2Fthqbiim_processed.png&w=3840&q=75)
Transcribed Image Text:This is a so-called binary phase shift keyed (BPSK) signal, since the changes in phase due to
the changes in the signs of the transmitted symbols. Plot the passband signal up,1(t) over four
symbols (you will need to sample at a multiple of the carrier frequency for the plot to look nice,
which means you might have to go back and increase the sampling rate beyond what was required
for the baseband plots to look nice).
(1.3) Now, add in the Q component to obtain the passband signal
up(t) = u(t) cos 40πt - us(t) sin 40πt
==
Plot the resulting Quaternary Phase Shift Keyed (QPSK) signal up (t) over four symbols.
(1.4) Downconvert up (t) by passing 2up (t) cos(40πt + 0) and 2up (t) sin(40πt + 0) through crude
lowpass filters with impulse response h(t) [0,0.25] (t). Denote the resulting I and Q components
=
==
by vc(t) and us (t), respectively. Plot vc and vs for 0 over 10 symbols. How do they compare
to uc and us? Can you read off the corresponding bits be[n] and b,[n] from eyeballing the plots
for vc and us?
(1.5) Plot vc and v, for 0 =π/4. How do they compare to uc and us? Can you read off the
corresponding bits b₁[n] and b¸ [n] from eyeballing the plots for vc and us?
(1.6) Figure out how to recover uc and us
from Vc and Vs
if a genie tells you the value of 0 (we are
looking for an approximate reconstruction-the LPFs used in downconversion are non-ideal, and
the original waveforms are not exactly bandlimited). Check whether your method for undoing
the phase offset works for 0 = π/4, the scenario in (1.5). Plot the resulting reconstructions uc and
us, and compare them with the original I and Q components. Can you read off the corresponding
bits be[n] and b,[n] from eyeballing the plots for uc and us?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,