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 timedomain 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 onesided Laplace transform The transfer function Poles and zeros of the transfer function Frequency response and the polezero plot 
(PDF) 
6 
Poles and zeros of filter classes The decibel Lowpass filter design 
(PDF) 
7 
Butterworth filter design example Chebyshev filters 
(PDF) 
8 
Secondorder filter sections Transformation of lowpass filters to other classes Statevariable active filters 
(PDF) 
9 
Operationalamplifier based statevariable filters Introduction to discretetime 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 timedomain digital signal processing The discretetime convolution sum The ztransform 
(PDF) 
14 
The discretetime transfer function The transfer function and the difference equation Introduction to zplane stability criteria The frequency response of discretetime systems The Inverse zTransform 
(PDF) 
15 
Frequency response and poles and zeros FIR lowpass filter design 
(PDF) 
16 
FIR lowpass filter design by windowing Window FIR filters or other filter types The zeros of a linear phase FIR filter 
(PDF) 
17 
Frequencysampling 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 
Directform 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 Discretetime correlation 
(PDF) 
23  Nonparametric power spectral density estimation  (PDF) 
24  Leastsquares filter design  (PDF) 
25  Adaptive filtering  (PDF) 
Lecture Notes
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As Taught In:  Fall 2008 
Level: 
Graduate

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