| COURSE CONTENT : |
Introduction to DSP
(2 hours) |
- Introduction to DSP
- Sampled data systems
- Aliasing and antialiasing
- Reconstruction
- Practical limitations
- Frequency & amplitude resolution
- Quantization and timing errors
- Correlation and convolution
- Frequency analysis
- Fourier transforms
- Frequency ‘leakage’
- Windowing
- Multi-rate signal processing
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| Transforms (2 hours) |
- Fourier Transform• Z – Transform• DCT Transform
- Hilbert Transform
- Wavelet Transform
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| Filters (5 hours) |
FIR Filter – FIR digital Filters• FIR filter basics• Analysis of FIR filters
- Frequency & impulse responses
- The window design method
- Optimization design methods
- Practical limitations of FIR filters
IIR Filter –
- IIR filter basics
- Analysis of FIR filters
- Frequency & impulse responses
- IIR filter design
- Poles, zeroes and filter response
|
| Cepstral analysis (1 hour) |
- Complex Cepsturm
- Inverse complex cepstrum
- Real cepstrum and minimum phase reconstruction
|
Statistical signal processing
(3 hours) |
- Introduction to statistical parameters
- Autocorrelation matrix
- Power spectral density (PSD)
- Cross power spectral density
- Finding PSD using various Methods (periodogram, modified periodogram, covariance, Eigen vector, burg, yule walker, Welch, MUSIC Algorithm, Root MUSIC Algorithm)
- Spectrogram
- Transfer function estimation
|
| Parametric modeling(2 hours) |
- Introduction to signal modelling
- Study of Auto Regressive Moving Average Models (ARMA), ARModels and MA models
- Estimation of model parameters using various methods like Yule-Walker, prony etc)
|
DSP with MATLAB(R)
(3 hours) |
- Introduction to DSP Toolbox
- Signal processing functions in MATLAB(R) (conv, conv2, corrcoef,cov, cplxpair, deconv, fft, fft2, fftshift, filter2, freqspace, ifft, ifft2,unwrap)
- Time domain analysis of a signal
- Frequency domain analysis of a signal
|
Digital Filter Design in MATLAB(R)
(2 hours) |
- Discrete-Time Filters (Direct form I, Direct form II, lattice filters)
- 1_D Median filtering
- Butterworth filter design
- Chebyshev Type I filter design (pass band ripple)
- Chebyshev Type II filter design (stop band ripple)
- Raised cosine FIR filter design
- Recursive digital filter design
|
| Window Design(2 hour) |
- Rectangular window
- Hamming window
- Hanning window
- Bartlett window
- Kaiser window etc
|
| Transforms(2 hour) |
- Discrete fourier transform
- Discrete cosine transform
- Hilbert transform
- Discrete wavelet transform
- inverse transforms
|
| Multi-rate Signal Processing(2 hours) |
- Decimation
- Interpolation
- Up-Sampling
- Down-Sampling
- Re-Sampling
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| Linear Systems(1 hour) |
- Stabilize polynomial
- z-transform partial-fraction expansion
- conversion of digital filter parameters to transfer function form/ pole-zero form etc
|
| Cepstral analysis(1 hour) |
- Complex cepstral analysis
- Inverse complex cepstrum
- Real cepstrum and minimum phase reconstruction
|
| Statistical signal processing(4 hours) |
- Cross Correlation
- Covariance
- Data matrix for autocorrelation matrix estimation
- Power spectral density (PSD)
- Cross power spectral density
- Finding PSD using various Methods (periodogram, modified periodogram, covariance, Eigen vector, burg, yule walker, Welch, MUSIC Algorithm, Root MUSIC Algorithm)
- Spectrogram
- Transfer function estimation
|
| Parametric Modeling(4 hours) |
- Autoregressive (AR) all-pole model parameters estimated usingBurg method
- Estimate AR model parameters using covariance method
- Estimate AR model parameters using modified covariance method
- Estimate autoregressive (AR) all-pole model using Yule-Walker method
- Cross power spectral density
- Prony method for filter design
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| Waveform Generation(30 min) |
- Swept-frequency cosine
- periodic sinc function
- Pulse train
- Saw-tooth or triangle wave
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| GUI’s(1 hour) |
- Filter Design and Analysis Tool
- GUI-based filter design
- Open interactive digital signal processing tool
- Open Filter Visualization Tool
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| Bi-level Waveform Measurements(30 min) |
- Duty cycle of pulse waveform
- Fall time of negative going bi-level waveform transitions
- Period of bi-level pulse
- Separation between bilevel waveform pulses
- Bilevel waveform pulse width
- Slew rate of bilevel waveform
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