Advanced Digital Signal Processing with Matlab(R)

• 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

• Fourier Transform• Z – Transform• DCT Transform
• Hilbert Transform
• Wavelet Transform

• 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

• Complex Cepsturm
• Inverse complex cepstrum
• Real cepstrum and minimum phase reconstruction

• 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

• 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)

• 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

• 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

• Rectangular window
• Hamming window
• Hanning window
• Bartlett window
• Kaiser window etc

• Discrete fourier transform
• Discrete cosine transform
• Hilbert transform
• Discrete wavelet transform
• inverse transforms

• Decimation
• Interpolation
• Up-Sampling
• Down-Sampling
• Re-Sampling

• Stabilize polynomial
• z-transform partial-fraction expansion
• conversion of digital filter parameters to transfer function form/ pole-zero form etc

• Complex cepstral analysis
• Inverse complex cepstrum
• Real cepstrum and minimum phase reconstruction

• 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

• 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

• Swept-frequency cosine
• periodic sinc function
• Pulse train
• Saw-tooth or triangle wave

• Filter Design and Analysis Tool
• GUI-based filter design
• Open interactive digital signal processing tool
• Open Filter Visualization Tool

• 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