mid poknat

A system is said to be linear if it satisfies

• Additivity and homogeneity

• Causality and stability

• Memory and time-invariance

• None of the above

Which of the following statement 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 are various time instants

• The system output is a weighted sum of inputs at various time instants

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

• The output does not change with time shifts

• The output only depends on the current input

• The system behavior does not change with time shifts

• The output is constant

In a linear system, if the input is scaled by a 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 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 convolution of a signal with a system's impulse response gives the system's:

• Frequency response

• Transfer function

• Output reponse

• Pole-zero diagram

Which of the following is not a property of convolution?

• Commutativity

• Associativity

• Distributivity

• Nonlinearity

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