HKN ECE 310 Final Exam Review Session Corey
- Slides: 42
HKN ECE 310 Final Exam Review Session Corey Snyder Ben Eng
Topics • LSIC Systems and BIBO Stability • Sampling • Impulse Response and Convolution • Discrete Fourier Transform (DFT) • Z-Transform • Fast Fourier Transform (FFT) • DTFT and Frequency Response Circular Convolution • Digital Filter Design • Rate Conversion and Multirate Systems • D/A Conversion
LSIC Systems •
BIBO Stability •
Impulse Response •
Convolution •
Z-Transform •
BIBO Stability Revisited •
Discrete Time Fourier Transform •
Frequency Response •
Magnitude and Phase Response •
Ideal A/D Conversion •
Discrete Fourier Transform •
DFT Properties • Circular shift • Circular modulation • Circular convolution • We must amend our DTFT properties with the “circular” term because the DFT is defined over a finite length signal and assumes periodic extension of that finite signal.
Zero-Padding • We can improve the resolution of the DFT simply by adding zeros to the end of the signal • This doesn’t change the frequency content of the DTFT! • Instead, it increases the number of samples the DFT takes of the DTFT • This can be used to improve spectral resolution
Fast Fourier Transform •
Decimation in Time •
Fast Linear Convolution •
Linear Phase Filters • FIR vs. IIR – is there feedback? Types of FIR Filters: • Type 1 Odd Length and Even Symmetric • Type 2 Even Length and Even Symmetric • Type 3 Odd Length and Odd Symmetric • Type 4 Even Length and Odd Symmetric
Linear Phase Filter Design •
Digital Filter Structure • Direct Form II
Tips for Linear Phase Filter Design •
Upsampling •
Downsampling •
Ideal D/A •
Realizable D/A: Zero-Order Hold •
How does the ZOH Change our Spectrum?
Upsampled D/A •
P 1: CTFT to DTFT
P 2 : Non-unique Digital Frequencies •
P 3: DFT Matrices and the DFT •
P 4: DFT Shift Property •
P 5: Circular Convolution •
P 6 : La Mariposa (The Butterfly)
Butterfly Structure Exercise •
P 7: Zero Padding •
P 8: FIR and IIR Systems •
P 9: Filter Structure •
P 10 : GLP Filters •
P 11 : Window Method •
P 12 : Up, Down, and Around
P 13 : ADC /DSP /DAC/WTF