Signal Processing: Continuous and Discrete

Lecture Notes

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)