Signals and Systems Flashcards
7 cards from real B CompE Bachelor of Computer Engineering practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
Read the first 7 Signals and Systems flashcards as text
Which of the following best describes a continuous-time signal?
Answer: A signal defined for all real values of time
A continuous-time signal is defined for every real value of t, distinguishing it from discrete-time signals that are defined only at integer time instants.
The Fourier Transform of a time-domain signal decomposes it into:
Answer: A continuous spectrum of sinusoidal components at different frequencies
The Fourier Transform represents a signal as a continuous spectrum of sinusoids, revealing how signal energy is distributed across frequencies.
The integral of the unit impulse function δ(t) over all time equals:
Answer: 1
By definition, ∫δ(t)dt = 1 over all time; this normalization is the fundamental property that makes the impulse useful in system analysis.
Convolution of two signals in the time domain corresponds to which operation in the frequency domain?
Answer: Multiplication
The Convolution Theorem states that convolution in the time domain equals pointwise multiplication in the frequency domain, simplifying computation.
The Laplace Transform of the unit impulse function δ(t) is:
Answer: 1
Applying the sifting property, L{δ(t)} = ∫δ(t)e^(−st)dt = e^0 = 1 for all valid s.
The fundamental period of the signal x(t) = sin(2πt) is:
Answer: 1 second
For x(t) = sin(2πt), the angular frequency ω₀ = 2π rad/s, so the period T = 2π/ω₀ = 2π/2π = 1 second.
The Z-transform is primarily used for analyzing:
Answer: Discrete-time signals and systems
The Z-transform is the discrete-time counterpart of the Laplace Transform and is the standard tool for analyzing discrete-time signals and digital systems.
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