DTSP LA2 - SESSION 1

  In the Overlap save method in case of the long sequence filtering, then how many zeros do we need to append to the FIR filter’s impulse response?

• a. L-1

• b. L+1

• c. L

• d. L+M

  The number of complex additions that we need to perform in the linear filtering of any sequence using the FFT algorithm would be:

• Nlog₂N

• (N/2)log₂N

• 2Nlog₂N

• (N/2)logN

Zero-state response is also known as:

• Free response

• Forced response

• Natural response

• None of the mentioned

   What is the particular solution of the first order difference equation y(n)+ay(n-1)=x(n) where |A|<1, WHEN THE INPUT OF THE SYSTEM X(N)=U(N)?

• 1/(1+a) u(n)

• 1/(1-a) u(n)

• 1/(1+a)

• 1/(1-a)

The impulse response of a LTI system is h(n)={1,1,1}. What is the response of the signal to the input x(n)={1,2,3}?

• {1,3,6,3,1}

• {1,2,3,2,1}

• {1,3,6,5,3}

• {1,1,1,0,0}

   If X(z) is the z-transform of the signal x(n) then what is the z-transform of an x(n)?

• X(az)

• X(az^-1)

• X(a^-1 z)

• None of the mentioned

    X(z) is the z-transform of the signal x(n), then what is the z-transform of the signal nx(n)?

• -z(dX(z))/dz

• zdX(z)/dz

• -z^-1 dX(z)/dz

• z^-1 (dX(z))/dz

1)     What is the DFT of the four point sequence x(n)={0,1,2,3}?

• {6,-2+2j-2,-2-2j}

• {6,-2-2j,2,-2+2j}

• {6,-2-2j,-2,-2+2j}

• {6,-2+2j,-2,-2-2j}

What is the unit sample response of the system described by the difference equation y(n)=0.5y(n-1)+2x(n)?

• 0.5(2)n u(n)

• 2(0.5)n u(n)

• 0.5(2)n u(-n)

• 2(0.5)n u(-n)

The following butterfly diagram is used in the computation of:

• Decimation-in-time FFT

• Decimation-in-frequency FFT

• All of the mentioned

• None of the mentioned