20EI252 DSP Surprise Quiz - II

Which of the following realization forms would use the minimum number of delay elements?

• Direct Form I

• Direct Form II

• Cascade Form

• Parallel Form

The transformation known for preserving the stability and mapping the analog left-half s-plane to the inside of the z-plane

• Bilinear Transformation

• Fourier transformation

• Laplace transformation

• Impulse Invariance method

Using impulse invariance with a sampling period T=1 sec, find the corresponding digital filter pole?

• Z=e-1

• Z=e-2

• Z=1+2T

• Z=1/2

Which of the following is the correct denominator of the transfer function for a filter that satisfies these specifications?

• (S2+0.76537S+1)(S2+1.84772+1)

• (S2+0.76537S+1)

• (S2+1.84772+1)

• (S2+0.76537S)

The frequency transformation of Low pass filter to Low pass filter is given by

• s → s / Ωu

• s → Ωu

• s → Ωu /S

• s → s

The relation between analog and digital frequency is

• Ω=2(tanw/2)

• Ω=2/T(tanw/2)

• Ω=2/T(tanw)

• Ω=T(tanw/2)

An engineer needs to convert an analog band pass filter to digital using bilinear transformation. The primary step should be done before applying the transformation is

• Convert to a low-pass prototype

• Perform impulse invariance

• Pre-warp the cutoff frequencies

• Zero-pad the impulse response

Using bilinear transformation with T=1 sec, find the denominator of the resulting digital filter.

• 1-Z-1

• 1+0.5Z-1

• 1-Z-2

• 1-0.5Z-1

If an analog filter has the transfer function and sampling time is 1 second, find the digital filter H(Z) using impulse invariance.

In FIR filter design, increasing the window length (number of taps) will

• Decrease stopband attenuation

• Sharpen the transition band

• Eliminate side lobes

• Cause phase distortion