quiz time

Which type of system's output depends only on past and present inputs?

• Dynamic

• Stability

• Causal

• Time-varying

What type of signal has finite energy over a finite interval?

• Continuous

• Power

• Discrete

• Energy

What property of a system can be inverted to obtain the original time-domain signal?

• Fourier transform

• Inverse transform

• Convolution

• Z-transform

what is the value for twiddle factor for k=4 and N=8 ?

• 0.707-0.707j

• -0.707-0.707j

• 1

• -1

Which property of the Z-transform allows for the manipulation of signals in the frequency domain?

• Linearity

• Time shifting

• Time scaling

• All of the above

What does the frequency response of a discrete system describe?

• The system's response to different frequencies of input signals

• The system's output over time

• The system's stability

• The system's impulse response

What does the Discrete Time Fourier Transform (DTFT) provide insight into?

• The system's stability

• The system's frequency response

• The system's impulse response

• The system's phase response

How does the butterfly effect impact the behavior of chaotic systems over time?

• It leads to random fluctuations in system dynamics

• It results in periodic oscillations

• It amplifies small disturbances, leading to divergent trajectories

• It stabilizes system behavior

A filter designed to remove high-frequency noise from a signal operates differently depending on the temperature. This filter's behavior is best described as:

• Linear Time-Invariant (LTI)

• Linear Time-Variant (LTV)

• Non-linear

• Both a and c

What is the Z-transform, X(z), of a discrete-time signal x(n), according to the standard definition?

• X(z) = ∑(n=0 to ∞) x(n) * z^n

• X(z) = ∑(n=-∞ to ∞) x(n) * z^-n

• X(z) = x(n) / z^n

• X(z) cannot be represented by a single formula