Having successfully completed this course, the student will be able to:

1. Identify basic discrete and continuous time signals, and perform addition, multiplication, time-reversal, scaling and time shifting on signals.

2. Inspect a system and determine whether it is stable, memoryless, causal, invertible, time invariant and linear or not.

3. Identity the Linear Time-Invariant (LTI) systems and their properties. Evaluate convolution sum and integral to obtain the output of a system given the input and the impulse response. Perform simulation in Matlab.

4. Understand the Fourier series representation of continuous-time and discrete-time periodic signals. Identify the properties of Fourier series such as time-shift, differentiation, multiplication etc.

5. Understand the continuous-time Fourier transform (CTFT) and discrete- time Fourier transform (DTFT) of signals. Develop an understanding of properties of these transforms such as convolution, multiplication, Parseval’s relation etc.

6. Formulate impulse and frequency responses of a system described by linear constant coefficient differential and difference equations using the properties and pairs of CTFT and DTFT.

7. Identify the conditions required for the sampling of a continuous-time signal. Understand the reconstruction of a continuous-time signal form its samples.