Vak: Digital Signal Processing credits: 5

The student can :  

• find the real or complex Fourier series representation of a periodic function;

• describe the frequency and amplitude characteristics of the different harmonic components of a function; 

• calculate and apply Discrete Fourier transform;

• perform calculations with discrete impulse responses, discrete convolution products and frequency responses;

• apply sampling theorem of Shannon, Nyquist frequency and the concept of aliasing;

• identify if a system is stable, linear, causal and/or time invariant; 

• calculate and apply the z-transform and know the relation with the Fourier transform; 

• conduct stability analysis in the z-plane and in the frequency domain using poles & zeroes and the unit circle;

• calculate the transient behaviour of a discrete system;

• design and classify different forms of digital filters (FIR, IIR notch and low/high pass filters) with given properties and demonstrate this filter;

• calculate the difference equation for filters with given properties.