Applications of Mathematics In Signals and Systems Laboratory

Teaching Scheme

Examination Scheme

Lectures : 2 hrs/week

Pract/Oral Exam– 50 Marks

TW - 50 Marks

List of Practical

1. To generate discrete time sequence/ samples of following signals by sampling corresponding analog counterparts. Implement the same using MATLAB^Ò

1.      Sine wave

2.      Cosine wave

3.      Square wave

4.      Saw tooth wave

5.      Exponential signal

6.      Step signal

7.      Ramp signal

8.      Random signal

2. To compute the impulse response and step response of a causal finite dimensional discrete time system, characterized by a linear constant coefficient difference equation.

3.  To compute the autocorrelation and cross correlation of two sequences using MATLAB. Implement some fundamental applications of correlation.

4. To compute the magnitude and phase response of the system characterized by impulse response or difference equation. Implement the same using MATLAB and verify the frequency response characteristics i.e. DTFT.

5. To study Discrete Fourier Transform – DFT and Inverse Discrete Fourier Transform – IDFT. Implement and verify the properties of DFT.

6. To study the spectrum analysis of audio signals by recording the signal in time domain and analyzing the same in frequency domain. Implement the same.

7. To study the various modulation techniques. Implement and verify the result of AM, FM and PCM using MATLAB.

8. To compute correlation and regression model for a given a set of data.

9. To compute standard deviation, variance, moments, Kurtosis.

10. To compute Probability density functions.