DSP ala GPT

A system is said to be linear if it satisfies:

• Additivity and Homogeneity
• Casuality and Stability
• Memory and Time-Invariance
• None of the above

Which of the following is a correct statement for a linear system?

• The output of a system is proportional to the input
• The system response depends on the input but not on the system itself
• The system output is the sum of inputs at various time instants
• The system output is a weigthed sum of inputs at various time instants

Which of the following conditions must a system satisfy to be considered time-invariant?

• The output does no change with time shifts
• The output only depends on the current input
• The system behavior does not change with the time shifts
• The output is constant

In a linear system, if the input is scaled by factor, the output will:

• Scaled by the same factor
• Not affected
• Scaled by the reciprocal factor
• Inverse Scaled

The convolution of a signal with an impulse function δ[n] is:

• The original signal
• The time-shifted version of the signal
• Zero
• The time-reversed version of the signal

The DFT of a sequence x[n] is equal to the convolution of the sequence with:

• The unit impulse function
• A periodic sequence of sinusoids
• The system's impulse response
• The frequency response of the system

The concolution of a signal with a system's impulse response gives the system's:

• Frequency Response
• Transfer Function
• Output Response
• Pole-zero Diagram

Which of the following is not a property of convolution?

• Commutativity
• Associativity
• Distributivity
• Non-linearity

If x[n] and h[n] are sequences, the length of the output of the convolution y[n] = x[n] * h[n] is:

• Nx + Nh - 1
• Nx + Nh + 1
• Nx - Nh
• Nx

If x[n[ is a sequence and h[n] is a time-shifted version of x[n], the convolution x[n] * h[n] results in:

• A time-shifted version of the original signal
• Zero signal
• A scaled version of the original signal
• None of the above