DSP LAB QUESTIONS
1.
Write a MATLAB program so that output signal is sampled with a
rate a) greater than twice the max frequency content in the input signal and b)
for equal to maximum frequency content in the input signal. Given input signal
is a cos function and the spacing between the samples is 50µs and total time
duration is 0.05 seconds.
2. Write a
MATlAB program to find the system function of the causal LTI system with input
x(z)= 1+2z-1+2z-2+z-3 and output y(z)= 1+z-1+2z-2+z-3 so plot input, output and impulse response.
3. Write a
MATLAB program to find convolution of unit imulse function with X(z)= 1+3z-1+4z-2 and convoluted output length is equal to sum of two input
lengths-1.
4. Write a
MATLAB program to find the output of given system whose frequency response is
Y(z)= X(z).H(z) and given x(n)= (1,2,3,4), h(n)= (1,2,3,4) and output length is
equal to maximum length of x(n) and h(n).
5.
Write a MATLAB program to find convolution of two given sequences
in time domain X1(z)= 1+2z-1+3z-2 & X2(z)= 2+z-1+4z-2 and convoluted output length is equal to sum of two input lengths
minus one.
6. Write a
MATLAB program to find the similarities between the given sequence x(n)=
Sin(2*pi*n/N) for N=4 and the time shifted version of same sequences in terms
of convolution and write and verify a) Energy property b) periodicity property
and draw the graph for the same.
7.
Write a program using MATLAB code for the received signal
replected from the target is the delayed uerreon of the transmitted signal.
Assume delay in two time units. Assume transmitted signal is {3, -1, 2, 1}.
8. Write a
MATLAB program to find the similarities between the two given sequence X1 (n)= [1 3 -2 1 2 -1 4 4 2] and X2(n)= [2 -1 4 1 -2 3]
is its time shifted version which is shifted by two units, in terms of convolution
and prove i) ϒxy[l]= ϒxy[-l] and
2) cross correlation of two sequences x(n) and y(n)= x(n-k) is having peak at
the value of k.
9. Write a
MATLAB program to find the steady state response for the given difference
equation y(n)-0.8y(n-1)=x(n) and x(n)= cos(0.05*pi*n); n=0 to N-1 where N=20
and plot the respective graph.
10. Write a
MATLAB program to find the first 8 samples of the complete response y(n) for
the difference equation y[n]= 1/3 {x[n]+x[n-1]+x[n-2]}+0.95y[n-1]-0.9025y[n-2];
n>=0 where x(n)=cos(n*pi/3)u(n) and initial conditions are y[-1]=-2,
y[-2]=-3, x[-1]=1, x[-2]=1.
11. Write a
MATLAB program to find the impulse response of a given difference equation
y(n)+0.8y(n-2)+0.6y(n-3)=x(n)+0.7x(n-1)+0.5x(n-2). Plot the graph for N=20.
12. Find
steady state response using MATLAB for the difference equation y(n)-0.8y(n-1)=
x(n) and x(n)= Cos(wn); n=0 to N-1 where N=20.
13. Write a
MATLAB program to find the multiplication of two frequencies domain aperiodic
signals in the domain x1=[1 1 1 1] and x2=[1 2 3 4].
14. Write a MATLAB
program to find the multiplication of the two frequency domain periodic signals
in time domain x1=[1 1 1 1] and x2=[1 2 3 4].
15. Design an
FIR filter for the given order of filter is 33 and cut-off frequency is 150Hz
and sampling frequency is 1KHz and having stop band attenuation 21dB. Implement
the same filter with assumed sinusoidal input.
16. Write a
MATLAB program to design an FIR filter is 2 and cut-off frequency is 150 and
sampling frequency is 1KHz and having minimum stop band attenuation 44dB, Write
a MATLAB program to implement the same filter with assumed sine input.
17. Design an
IIR filter for the pass band edge frequency w1=800 and stop band edge frequency
w2=1200. sampling frequency ws=3600, passband ripple 1dB and stopband
attenuation 40dB by using butterworth filter and maps it with bilinear
transform. Find and plot the magnitude and frequency response. Implement with 3
various sinusoidal input signals of your own specification.
CCS PROGRAM:
18. Linear
convolution of a given sequence.
19. Circular convolution
of two sequences.
20. Computation
of N-point DFT for given value of N.
21. Impulse
response of given first order or second order filter.
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