Electronics (ECE) - MCQ Practice Questions

The region of convergence (ROC) of the Z-transform of x[n] = a^n u[n] is:

A moving average filter y[n] = (x[n] + x[n-1])/2 has a zero at:

A signal has autocorrelation R(0) = 10 and R(1) = 5. What is the signal's power?

A low-pass filter has magnitude response |H(jω)| = 1/(√(1 + (ω/ωc)²)). At ω = ωc, the magnitude is:

A continuous-time signal x(t) = 5cos(2π × 500t) + 3sin(2π × 1500t) is sampled at 4 kHz. What is the Nyquist frequency for this signal, and will aliasing occur?

A causal discrete-time LTI system has impulse response h[n] = (0.8)^n × u[n]. If the input is x[n] = δ[n] - 0.5×δ[n-1], find y[0] + y[1]:

A signal's autocorrelation function is R(τ) = 10 + 8cos(2π×100τ). What is the average power of the signal?