| SES # | TOPICS | LECTURE NOTES |
|---|---|---|
| 1 |
Introduction to signal processing Properties of LTI continuous filters The Dirac delta function Properties of the delta function Practical applications of the Dirac delta function | (PDF) |
| 2 |
Continuous LTI system time-domain response Sinusoidal response of LTI continuous systems | (PDF) |
| 3 |
The Fourier series and transform Periodic input functions — the Fourier series Aperiodic input functions — the Fourier transform | (PDF) |
| 4 |
Review of development of Fourier transform The frequency response of a linear system defined directly from the Fourier transform Relationship between the frequency response and the impulse response The convolution property | (PDF) |
| 5 |
The one-sided Laplace transform The transfer function Poles and zeros of the transfer function Frequency response and the pole-zero plot | (PDF) |
| 6 |
Poles and zeros of filter classes The decibel Low-pass filter design | (PDF) |
| 7 |
Butterworth filter design example Chebyshev filters | (PDF) |
| 8 |
Second-order filter sections Transformation of low-pass filters to other classes State-variable active filters | (PDF) |
| 9 |
Operational-amplifier based state-variable filters Introduction to discrete-time signal processing | (PDF) |
| 10 |
The sampling theorem The discrete Fourier transform (DFT) | (PDF) |
| 11 |
The discrete Fourier transform (cont.) The fast Fourier transform (FFT) | (PDF) |
| 12 |
The fast Fourier transform (cont.) Spectral leakage in the DFT and apodizing (windowing) functions | (PDF) |
| 13 |
Introduction to time-domain digital signal processing The discrete-time convolution sum The z-transform | (PDF) |
| 14 |
The discrete-time transfer function The transfer function and the difference equation Introduction to z-plane stability criteria The frequency response of discrete-time systems The Inverse z-Transform | (PDF) |
| 15 |
Frequency response and poles and zeros FIR low-pass filter design | (PDF) |
| 16 |
FIR low-pass filter design by windowing Window FIR filters or other filter types The zeros of a linear phase FIR filter | (PDF) |
| 17 |
Frequency-sampling filters FIR filter design using optimization | (PDF) |
| 18 |
FFT convolution for FIR filters The design of IIR filters | (PDF) |
| 19 | The design of IIR filters (cont.) | (PDF) |
| 20 |
Direct-form filter structures Transversal FIR structure IIR direct form structures Transposed direct forms Coefficient sensitivity in direct form filters | (PDF) |
| 21 |
Interpolation and decimation Introduction to random signals | (PDF) |
| 22 |
The correlation functions (cont.) Linear system input/output relationships with random inputs Discrete-time correlation | (PDF) |
| 23 | Non-parametric power spectral density estimation | (PDF) |
| 24 | Least-squares filter design | (PDF) |
| 25 | Adaptive filtering | (PDF) |