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    Signal Transmission Through A Linear System, Signal Distortion Over A Communication Channel, Measure of Signals, ESD and PSD of Modulated Signals

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    Cool Guy
    This document is an assignment for the course EE323 – Analog and Digital Communication Systems at National University of Computer and Emerging Sciences Chiniot-Faisalabad Campus. The assignment covers signal transmission through linear systems, signal distortion over communication channels, measures of signals, and power spectral density of modulated signals. It contains 6 questions assessing these topics, each worth 10 marks for a total of 60 marks. Students must submit their responses by September 28, 2021 to their instructor, Dr. Adil Zulfiqar.

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    Signal Transmission Through A Linear System, Signal Distortion Over A Communication Channel, Measure of Signals, ESD and PSD of Modulated Signals

    Uploaded by

    Cool Guy
    30 views3 pages
    This document is an assignment for the course EE323 – Analog and Digital Communication Systems at National University of Computer and Emerging Sciences Chiniot-Faisalabad Campus. The assignment covers signal transmission through linear systems, signal distortion over communication channels, measures of signals, and power spectral density of modulated signals. It contains 6 questions assessing these topics, each worth 10 marks for a total of 60 marks. Students must submit their responses by September 28, 2021 to their instructor, Dr. Adil Zulfiqar.

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    Signal transmission through a linear system, Signal distortion over a communication channel, Measure of Signals, ESD and PSD of modulated signals

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    This document is an assignment for the course EE323 – Analog and Digital Communication Systems at National University of Computer and Emerging Sciences Chiniot-Faisalabad Campus. The assignment covers signal transmission through linear systems, signal distortion over communication channels, measures of signals, and power spectral density of modulated signals. It contains 6 questions assessing these topics, each worth 10 marks for a total of 60 marks. Students must submit their responses by September 28, 2021 to their instructor, Dr. Adil Zulfiqar.

    Copyright:

    © All Rights Reserved
    Download as DOCX, PDF, TXT or read online from Scribd
    Download as docx, pdf, or txt
    30 views3 pages

    Signal Transmission Through A Linear System, Signal Distortion Over A Communication Channel, Measure of Signals, ESD and PSD of Modulated Signals

    Uploaded by

    Cool Guy
    This document is an assignment for the course EE323 – Analog and Digital Communication Systems at National University of Computer and Emerging Sciences Chiniot-Faisalabad Campus. The assignment covers signal transmission through linear systems, signal distortion over communication channels, measures of signals, and power spectral density of modulated signals. It contains 6 questions assessing these topics, each worth 10 marks for a total of 60 marks. Students must submit their responses by September 28, 2021 to their instructor, Dr. Adil Zulfiqar.

    Copyright:

    © All Rights Reserved
    Download as DOCX, PDF, TXT or read online from Scribd
    Download as docx, pdf, or txt
    of 3

    National University

    of Computer and Emerging Sciences


    Chiniot-Faisalabad Campus

    EE323 – Analog and Digital Communication Systems


    Assignment Number 1
    “Signal transmission through a linear system, Signal distortion over a
    communication channel, Measure of Signals, ESD and PSD of modulated
    signals”
    Spring 2021

    Maximum Marks: 60 Due Date: 28 September, 2021

    Submitted By
    Name: _________________________

    Student ID: _________________________

    Section: _________________________

    Submitted To
    Dr. Adil Zulfiqar
    Assistant Professor – EE Department

    Submission Date
    ___ September 2021

    Details of Obtained Marks


    Question Number 1 2 3 4 5 6
    Total
    CLO Number 1 1 1 2 2 2
    Total Marks 10 10 10 10 10 10 60
    Obtained Marks
    CLO Taxonomy
    CLO Statement Domain
    No. Level
    Analyzing the transmitted signal over communication
    1 Cognitive 4
    channel.

    Q1.

    a) Using time-shifting property, show that if g ( t ) ⇔ G(ω), then

    g ( t+T ) + g(t−T )⇔ 2 G(ω) cosTω

    b) If g ( t ) ⇔ G(ω), then show that g ( t ) ⇔G (−ω).


    ¿ ¿

    Q2. A certain channel has ideal amplitude, but nonideal phase response (Fig.1), given by (10)

    |H ( ω )|=1
    θh ( ω )=−ω t 0−ksinωT k ≪1

    Show that y (t) , the channel response to an ideal pulse g(t ) band limited to B Hz is

    k
    y ( t ) =g ( t−t 0 ) + [ g ( t−t 0−T ) −g(t−t 0 +T )]
    2

    Hint: Use e− jksinωT ≈ 1− jksinωT .

    Fig.1

    Q3. Signals g1 ( t )=104 rect (10 4 t) and g2 ( t ) =δ( t) are applied at the inputs of the ideal low-pass
    20,000
    filters whose impulse responses are h1 ( t )= sinc (20,000 t) and
    t
    10,000
    h2 ( t ) = sinc (10,000t ) fig (2). The outputs y 1 (t ) and y 2 ( t ) of these filters are multiplied to
    t
    obtain the signal y ( t ) = y 1 ( t ) y 2 ( t ) .

    Fig. 2
    a) Sketch G 1 (w) and G 2 (w) .
    b) Sketch H 1 (w) and H 2 (w) .
    c) Sketch Y 1 (w) and Y 2 (w) .

    CLO Taxonomy
    CLO Statement Domain
    No. Level
    Analyze the energy, and power spectral density of the
    2 Cognitive 4
    transmitted signal.

    Q4. Show that for a power signal, the PSD S g (w) is the Fourier transform of the autocorrelation
    function R g (τ ) by using the concept of truncated power signal.

    Q5. Find the autocorrelation function and power spectral density of the following function:

    x ( t )=ℜ¿
    Hint: e jωt =cos ωt + jsinωt convert above x(t) into 2+ A cos ⁡(ωt +θ) and then use this function for
    Autocorrelation.

    Q6. Find the mean Square value of (or Power) of the output voltage y (t) of the system shown in the

    figure.3. if the input voltage PSD is S x ( ω )=rect ( ω/2). Calculate the power of input signal x (t ).

    Fig.3

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