Nothing Special   »   [go: up one dir, main page]

Sample DSP Questions

Download as docx, pdf, or txt
Download as docx, pdf, or txt
You are on page 1of 1

PART A (Answer all questions.

5 Marks each)
1)Explain the linear shift invariant property of discrete time signals and explain with an example.
2)The output-input relationship of a discrete time system is approximated by
Y(n)=x(n+1)-2x(n)+x(n-1),Is it a causal system? Explain with reason.
3)Test the stability of a system whose impulse response is
H(n)=(1/2)nU(n)
4)Determine the convolution of
X(n)={1,2,1,1}
H(n)={1,-1,1,-1}
5)Prove the relationship between Cross correlation and Convolution.
6)Find the even and odd part of a signal x(n)={0.5,1,2.5,4,2.5,1,0.5}

PART B
7)Plot the signals
-δ(n-3)
2 δ(n+5)
α

∑ δ (n+ 1) e−2 n
n=0
1-u(n)
-U(n)……………………..(15 marks)

Or

For a signal x(n)={-1,-1/2,1/2,1,1,1,1,1/2}


Find 1)x(n-4)
2)x(3n)
3)x(-n)
4)x(n-2) δ(n-2) and plot it…………………………(15 marks)

8)a)Find the natural response of a system


Y(n)-4y(n-1)+4y(n-2)=x(n)-x(n-1)
Where the initial conditions are y(-1)=y(-2)=1……….(10 marks)
b)Find the cross correlation of two sequences of finite length
x(n)={1,2,1,1}
y(n)={1,1,2,1}…………(5 marks)

Or

Find the total response of a system


Y(n)-0.3y(n-1)-0.04y(n-2)=x(n)+2x(n-1)
Where y(-1)=y(-2)=1
And x9n0=3nu(n)………………………(15 marks)

You might also like