EC 8352 SS IAT#3

Compute the ZT of a DT signal x(n)= (1,2,3,4,0,1)

• 1 + 2z + 3z² + 4z³ + z⁴

• 1 + 2z + 3z² + 4z³ + z⁵

• 1 + 2z^-1 + 3z^-2 + 4z^-3 + z^-5

• 1z² + 2z + 3 +z^-1 + z^-3

Z-transform of an impulse function is……

• z

• z²

• 1

• z³

The two signal x(n) = aⁿ u(n) and x(n) = -aⁿ u(-n-1) have ROC z>a and z<a respectively.

• True

• False

The Dirichlet condition for (DTFT) is……

• DT Signal should be absolutely differentiable

• DT Signal should be absolutely multipliable

• DT Signal should be absolutely integrable

• DT Signal should be absolutely summable

Fourier Transform is used to analyse any elementary signals at different frequencies due to?

• Convert from time domain to frequency domain

• Convert from frequency domain to time domain

• Both a & b

• None of the above

If x(n) is a DT signal then the equation x (n – n₀ ) indicates the basic ………..property.

• Linearity

• Time Reversal

• Frequency Shifting

• Time Shifting

If [x(n)↔X(z)] and [y(n)↔Y(z)]. The linearity property of Z-Transform states

• ax(n)+by(n) ↔ aX(z).bY(z)

• ax(n).by(n) ↔ aX(z)+bY(z)

• ax(n)+by(n) ↔ aX(z)+bY(z)

• ax(n).by(n) ↔ aX(z).bY(z)

If FT{x₁(n)}=X₁(w) and FT{x₂(n)}=X₂(w) then FT{x₁(n)*x₂(n)}=?

• X₁(w).X₂(w)

• X₁(w)+X₂(w)

• X₁(w)*X₂(w)

• None of the mentioned

What is the convolution x(n) of the signals x₁(n)={-1,0,1} and x₂(n)={1,0,1,0,1,2} ?

• {1,1,0,0,0,0,1,2}

• {-1,0,0,0,0,-2,1,2}

• {-1,1,0,0,0,0,1,-2}

• {1,-1,0,0,0,0,-1,2}

Determine the Nyquist rate and Nyquist interval for Cos(4πt).

• 4 Hz, 0.25 sec

• 0.5 Hz, 0.5 sec

• 0.5 Hz, 2 sec

• 2 Hz, 0.5 sec