Talk about Pros and Cons of Digital Signal Processing
Write the CTFT and the ICTFT. What are their properties ?
Write the DTFT and the IDTFT. What are their properties ?
Enunciate the sampling theorem.
What is the input-output relation of LTI systems ? prove it!
How is the impulse response of a causal LTI system ?
When a LTI system is BIBO stable ? Prove the condition on the impulse response is both sufficient and necessary.
Discuss the Z tranform.
How can we invert the rational Z transform of a causal sequence? Discuss all methodologies.
Enunciate and prove the convolution property of the Z transform.
Talk about the properties of FIR and IIR filters.
Write the expression of the DFT e IDFT and prove they are reciprocal transforms.
Derive the Decimation in Time / Frequency FFT algorithm.
Talk about the Overlap Add convulution method (state the theorem it exploits and prove it).
Talk about the Overlap Save convulution method (state the theorem it exploits and prove it).
Talk about the spectrum analysis with the DTFT and the DFT. What is the solution to leakage?
Talk about the Short Time Fourier Transform. How can we use it for processing a signal ?