1. |
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Sinusoids |
Sine and cosine function review, Sampling and plotting sinusoids, Speech sigmal: BAT |
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2. |
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Sinusoids |
(A, ω, φ) from a PLOT, Complex Exponentials and phasors, Polar codinate |
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3. |
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Sinusoids |
Real part example, Avoid trigonometry, real & imaginary part plots, complex amplitude |
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4. |
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Sinusoids |
Want to add sinusoids, Phasor add, Frequency diagram |
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5. |
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Spectrum representation |
Euler's Formula Reversed, The spectrum of sum of sinusoids, Beat notes |
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6. |
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Spectrum representation |
Periodic Waceforms, Harmonic, Fundamental Frequency |
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7. |
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Spectrum representation |
Fourier series |
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8. |
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Spectrum representation |
Spectrum of Fourier series |
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9. |
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Spectrum representation |
Fourier analysis of periodic signals, Fourier series synthesis |
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10. |
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Spectrum representation FIR filters |
Time-frequency spectrum, Frequency modulation, Discrete-time system |
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11. |
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FIR filters |
Running-average filter, General FIR filter, 4-pt Averager |
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12. |
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FIR filters |
Impulse response, Convolution of FIR filter, Frequency response function for LTI systems, Implementation of FIR filters, Linear time-invariant system |
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13. |
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FIR filters |
Convolution and LTI system, Cascaded LTI system |
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14. |
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FIR filters Sampling and aliasing |
Example of FIR filtering, Sampling |
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15. |
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Sampling and aliasing |
Sampling theorem, Spectrum view |
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Sampling and aliasing |
Spectrum view, Spectrum interpretation |
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Sampling and aliasing |
Spectrum interpretation, Normalized Frequency, Spectrum (aliasing case) |
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Sampling and aliasing |
Spectrum(More lines, Folding case), Digital Frequency, Folding diagram |
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Frequency response of FIR filters |
Sinusoidal response of FIR systems, Superposition and frequency response |
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Frequency response of FIR filters |
11-pt Averager, D-A Frequency scaling |
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Fourier Transforms |
Definition of Fourier transform, square wave signal, Limiting behavior of FS |
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