| 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
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| 2 |
Continuous LTI system time-domain response
Sinusoidal response of LTI continuous systems
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| 3 |
The Fourier series and transform
Periodic input functions — the Fourier series
Aperiodic input functions — the Fourier transform
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| 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
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| 5 |
The one-sided Laplace transform
The transfer function
Poles and zeros of the transfer function
Frequency response and the pole-zero plot
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| 6 |
Poles and zeros of filter classes
The decibel
Low-pass filter design
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| 7 |
Butterworth filter design example
Chebyshev filters
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| 8 |
Second-order filter sections
Transformation of low-pass filters to other classes
State-variable active filters
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| 9 |
Operational-amplifier based state-variable filters
Introduction to discrete-time signal processing
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| 10 |
The sampling theorem
The discrete Fourier transform (DFT)
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| 11 |
The discrete Fourier transform (cont.)
The fast Fourier transform (FFT)
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| 12 |
The fast Fourier transform (cont.)
Spectral leakage in the DFT and apodizing (windowing) functions
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| 13 |
Introduction to time-domain digital signal processing
The discrete-time convolution sum
The z-transform
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| 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
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| 15 |
Frequency response and poles and zeros
FIR low-pass filter design
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| 16 |
FIR low-pass filter design by windowing
Window FIR filters or other filter types
The zeros of a linear phase FIR filter
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| 17 |
Frequency-sampling filters
FIR filter design using optimization
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| 18 |
FFT convolution for FIR filters
The design of IIR filters
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| 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
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| 21 |
Interpolation and decimation
Introduction to random signals
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| 22 |
The correlation functions (cont.)
Linear system input/output relationships with random inputs
Discrete-time correlation
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| 23 |
Non-parametric power spectral density estimation |
(PDF) |
| 24 |
Least-squares filter design |
(PDF) |
| 25 |
Adaptive filtering |
(PDF) |