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
The Region of Convergence (ROC) of the Z-transform is significant because it:
Answer: Specifies where the Z-transform converges and determines causality and stability
The ROC defines where the Z-transform sum converges; its location relative to poles determines whether the system is causal, anti-causal, and whether it is stable.
The N-point Discrete Fourier Transform (DFT) of a sequence of N samples produces:
Answer: N complex coefficients at equally spaced discrete frequencies
The N-point DFT produces exactly N complex frequency coefficients at N equally spaced frequencies from 0 to 2π, mirroring the N input samples.
The frequency response H(e^jω) of a discrete-time LTI system is obtained from H(z) by:
Answer: Setting z = e^(jω)
The frequency response is evaluated on the unit circle of the z-plane by substituting z = e^(jω), where ω is the normalized digital frequency.
An all-pass filter is characterized by:
Answer: Unity magnitude response for all frequencies while introducing frequency-dependent phase shifts
An all-pass filter has |H(e^jω)| = 1 for all ω but alters the phase, making it useful for phase equalization without affecting signal magnitude.
According to the Fourier Convolution Theorem, F{x(t) * h(t)} equals:
Answer: X(f) · H(f)
The Convolution Theorem states that the Fourier Transform of a convolution equals the product of the individual Fourier Transforms: F{x(t)*h(t)} = X(f)·H(f).
In the difference equation y[n] = b₀x[n] + b₁x[n−1] − a₁y[n−1], the term −a₁y[n−1] represents:
Answer: A feedback path using a previous output sample
The term −a₁y[n−1] feeds back a previous output value into the computation, which is the defining characteristic of an IIR (Infinite Impulse Response) recursive filter.
The Power Spectral Density (PSD) of a signal describes:
Answer: How signal power is distributed across different frequencies
The PSD, obtained as the Fourier Transform of the autocorrelation function, shows how the average power of a signal is spread over its frequency components.
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