Course: 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.