Digital Signal Processing Introduction
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Questions and Answers

What is the result of subtracting a fixed positive quantity from the time variable in a signal?

  • The signal is shifted to the left.
  • The signal is shifted to the right. (correct)
  • The signal is dilated.
  • The signal is compressed.

    • What is the result of multiplying the time variable by a quantity greater than one in a signal?

  • The signal becomes wider.
  • The signal remains unchanged.
  • The signal is reversed.
  • The signal becomes narrower. (correct)

    • What is the effect of adding a fixed positive amount to the time variable in a signal?

  • The signal is reversed.
  • The signal is compressed.
  • The signal is shifted to the left. (correct)
  • The signal is shifted to the right.

    • What is the term for rotating a continuous time signal by 180° about the vertical axis?

    <p>Time reversal. (B)</p> Signup and view all the answers

    What type of signal is x[n] an example of?

    <p>Discrete time signal. (C)</p> Signup and view all the answers

    What is the effect of multiplying the time variable by a quantity less than one in a signal?

    <p>The signal becomes wider. (B)</p> Signup and view all the answers

    What is the result of multiplying the time variable by a quantity in a signal?

    <p>The signal is scaled. (D)</p> Signup and view all the answers

    What is the term for the operation of shifting a signal in time by adding or subtracting a quantity from the time variable?

    <p>Time shifting. (B)</p> Signup and view all the answers

    What is the mathematical representation of time reversal for a continuous time signal x(t)?

    <p>𝑦(𝑡) = 𝑥(−𝑡) (C)</p> Signup and view all the answers

    What is the amplitude shifting operation on a continuous time signal x(t)?

    <p>𝑦(𝑡) = 𝑥(𝑡) + K (C)</p> Signup and view all the answers

    What is the amplitude scaling operation on a discrete time sequence x(n)?

    <p>𝑦(𝑛) = k 𝑥(𝑛) (A)</p> Signup and view all the answers

    What is the effect of amplitude scaling on a signal?

    <p>The signal is amplified or attenuated (C)</p> Signup and view all the answers

    What is the time reversal operation on a discrete time sequence x(n)?

    <p>𝑦(𝑛) = 𝑥(−𝑛) (C)</p> Signup and view all the answers

    What is a system in signal processing?

    <p>A mathematical model that transforms input signals (B)</p> Signup and view all the answers

    What is the amplitude shifting operation on a discrete time sequence x(n)?

    <p>𝑦(𝑛) = 𝑥(𝑛) + k (C)</p> Signup and view all the answers

    What is the digital filter in digital domain?

    <p>A digital device that performs numerical calculations on sampled values of the signal (D)</p> Signup and view all the answers

    Study Notes

    Introduction to Signals and Systems

    • Signals are classified into continuous and discrete time signals.
    • Continuous time signals are represented by x(t) and discrete time signals are represented by x[n].

    Signal Operations

    • Time shifting is the shifting of a signal in time by adding or subtracting a quantity to the time parameter.
      • Subtracting a fixed positive quantity from the time variable will shift the signal to the right (delay) by the subtracted quantity.
      • Adding a fixed positive amount to the time variable will shift the signal to the left (advance) by the added quantity.
    • Time scaling compresses or dilates a signal by multiplying the time variable by some quantity.
      • If the quantity is greater than one, the signal becomes narrower and the operation is called compression.
      • If the quantity is less than one, the signal becomes wider and is called dilation.
    • Time reversal of a continuous-time signal x(t) is given by y(t) = x(-t).
    • Time reversal of a discrete-time sequence x(n) is given by y(n) = x(-n).
    • Amplitude shifting means shifting of signal in the amplitude domain around the X-axis.
      • When K is greater than zero, the shifting of signal takes place towards up in the X-axis (upward shifting).
      • When K is less than zero, the shifting of signal takes place towards down in the X-axis (downward shifting).
    • Amplitude scaling of a signal rescales the amplitude of the signal, either amplifying or attenuating it.
      • The shape of the resulting signal remains the same as that of the original signal, but the amplitude is altered.

    Systems

    • A system is a mathematical model that represents the transformation of some input signal x(t) into an output signal y(t).
    • In the digital domain, a system may be a digital filter.
    • Digital filters use a digital processor to perform numerical calculations on sampled values of the signal.

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    Description

    Introduction to digital signal processing, including signals and systems, classification and representation, and types of systems. Covers continuous and discrete time signals, signal operations, and more.

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