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_ _ _ Concept of frequency in continuous-time and discrete-time signals
_ _ _ Sampling of analog signals --- periodic- or uniform-sampling (Basic concept)
_ _ _ Analog - to - digital conversion (Frequency-domain analysis of sampling process)
_ _ _ Signal reconstruction process (Frequency-domain analysis of sampling process)
_ _ _ Introduction to Laplace-transform
_ _ _ Introduction to z-transform
_ _ _ Introduction to continuous-time Fourier-transform (CTFT)
_ _ _ Introduction to discrete-time Fourier-transform (DTFT)
_ _ _ Introduction to discrete-Fourier-transform (DFT)
_ _ _ DFT as a linear transformation
_ _ _ Some useful properties of DFT
_ _ _ Multiplication of two DFTs in the frequency-domain,
and the concept of “circular-convolution” in discrete-time domain
_ _ _ Circular-convolution calculations through DFT/IDFT pair
_ _ _ Some useful properties of DFT
_ _ _ Circular correlation, and Parseval’s theorem
_ _ _ Multiplication of two sequences in discrete-time domain,
and the concept of “circular-convolution” in frequency-domain
_ _ _ Use of the DFT in linear filtering
_ _ _ Frequency-domain analysis of signals using DFT
_ _ _ Implementation of the discrete-time systems
(Structures for the realization of LTI systems)
_ _ _ Goertzel algorithm
(A linear filtering approach to the computation of DFT)
_ _ _ Chirp-z transform algorithm
_ _ _Fast Fourier Transform Algorithms (FFT) for the efficient computation of DFT
Basics of divide-and-conquer approach for DFT computation
_ _ _ Radix-2 FFT algorithm
Radix-2 FFT algorithm with decimation-in-time approach
_ _ _ Radix-2 FFT algorithm with decimation-in-frequency approach
_ _ _ Brief details about Radix-4 FFT algorithm
_ _ _ The cepstrum and concept of homomorphic deconvolution
(Another approach used for the frequency-domain analysis of signals)
_ _ _Introduction to the passive filters
_ _ _Brief details about the normalized transfer functions
_ _ _Limitations of the passive filters
_ _ _ Difference between the analog-filters and digital-filters
_ _ _ Introduction to basic principles of filtering and frequency-selective filters in the
discrete-time domain
_ _ _ Design of the digital filters by using the basic principles of pole-zero method (part
-01)
_ _ _ Design of the digital filters by using the basic principles of pole-zero method (part
-02)
_ _ _ Lowpass-to-highpass filter transformation
_ _ _ Design of the digital filters and its types
_ _ _Concept of the causality constraint on realizable digital filters
_ _ _ A few common characteristics of the practical frequency-selective filters
_ _ _ Details about the symmetric and anti-symmetric FIR filters
_ _ _ Concept of linear-phase in FIR filtering process
_ _ _ Comment about phase-delay and group-delay in linear-phase FIR filtering
_ _ _ Design of the linear-phase FIR filters using window functions
_ _ _ Design of a “symmetric” lowpass linear-phase FIR filter having the desired
frequency response
_ _ _ Brief description about some important window functions, which are used for FIR
filter design
_ _ _ Details about the Kaiser window function
_ _ _ Design of an FIR “lowpass filter” to meet prescribed specifications, using the
Kaiser window
_ _ _ Design of an FIR “highpass filter” to meet prescribed specifications, using the
Kaiser window
_ _ _ Design of an FIR “bandpass filter” to meet prescribed specifications, using the
Kaiser window
_ _ _ Design of an FIR “band-reject filter” to meet prescribed specifications, using the
Kaiser window
_ _ _ Design of an FIR “differentiator” to meet prescribed specifications, using the
window method
_ _ _ Advantages and disadvantages of the window based FIR filter design
_ _ _ Design of the linear-phase FIR filters by using the frequency-sampling
method
_ _ _ Example pertaining to the design of lowpass FIR symmetric filter
by using the frequency-sampling method
_ _ _ Design of FIR filters using the Fourier-series method
_ _ _ Example pertaining to the design of band-reject FIR symmetric filter
by using the Fourier-series method
_ _ _ Relationship between the z-transform and DFT
_ _ _ Commonly used structures for the FIR systems/filters
_ _ _ Direct-form structure
_ _ _ Cascade-form structure
_ _ _ Frequency-sampling structures
_ _ _ Details about the comb-filters
_ _ _ Introduction to the Hilbert-transformers, and its FIR filter based design
_ _ _ Estimation of spectra from the finite-duration observations of signal
_ _ _ FIR or IIR ? – which filter is preferred?
_ _ _ Design of IIR filters from analog filters (Basic idea)
_ _ _ Comment about the phase characteristics of IIR filters
_ _ _ IIR filter design by Approximation-of-derivatives in detail
_ _ _ Related implications of mapping from s-plane to z-plane
_ _ _ Example related to IIR filter design by approx.-of-derivatives
_ _ _ IIR filter design by Impulse-invariance method in detail
_ _ _ Example related to IIR filter design by impulse-invariance
_ _ _ IIR filter design by the Bilinear-transformation
_ _ _ Examples related to IIR filter design by bilinear-transformation
_ _ _ Butterworth lowpass filter design technique and example
_ _ _ Frequency transformations for Analog-filters
_ _ _ Frequency transformations for Digital-filters
_ _ _ Concept of frequency - Prewarping used in the design of IIR filters
_ _ _ Example related to IIR lowpass digital filter design based on
Butterworth approximation and Bilinear transform
_ _ _ Chebyshev filters and its types (Type-I and Type-II)
_ _ _ Examples related to Chebyshev filter design
_ _ _ Structures for IIR systems – Cascade-form structures
_ _ _ Structures for IIR systems – Parallel-form structures
_ _ _ Structures for IIR systems – Transposed structures
_ _ _ Introduction to Multirate Digital Signal Processing
_ _ _ Details about decimation by a factor – D (Downsampling)
_ _ _ Details about interpolation by a factor – I (Upsampling)
_ _ _ Details about sampling-rate conversion by a rational factor – ( I / D )
_ _ _ An important inference regarding sampling-rate conversion by
a rational factor – ( I/D)
Implementation of sampling-rate converter
_ _ _ Polyphase filter structures
_ _ _ Interchange of filters and downsamplers/upsamplers
_ _ _ Polyphase structures for decimation and interpolation filters
_ _ _ Sampling-rate conversion with cascaded-integrator-comb filters
To obtain an efficient decimation structure
To obtain an efficient interpolation structure
_ _ _ Multistage implementation of sampling-rate conversion
Details about the multistage implementation of interpolation by a factor – I
Details about the multistage implementation of decimation by a factor – D
_ _ _ Digital-filter-banks
Details about analysis-filter-bank
Details about synthesis-filter-bank
_ _ _ Digital-filter-banks
An alternative realization of the analysis and synthesis filter banks
(using bandpass filters)
Polyphase structures for uniform filter banks
_ _ _ Two-channel quadrature-mirror filter bank
Elimination of aliasing
Condition for perfect reconstruction
_ _ _ Polyphase form of the QMF bank
_ _ _ Linear-phase FIR QMF-bank
_ _ _ Details about Half-band filters
And perfect reconstruction two-channel FIR QMF-bank
_ _ _ Basic concept of equalization
_ _ _ Linear equalization
Details about zero-forcing equalizer based on peak distortion criterion
DSP LECTURE 38 on (Discrete-Time Signal-Processing):-
_ _ _ SNR details for the zero-forcing equalizer (with infinite-length)
_ _ _ Details about the finite-length zero-forcing equalizer
_ _ _ MMSE equalizer based on the mean squared error criterion
_ _ _ Finite-length MMSE equalizer details
_ _ _ Details about fractionally spaced equalizers (FSE)
_ _ _ Adaptive linear equalizers
The zero-forcing (ZF) algorithm based adaptive equalization
The linear adaptive equalizer based on MMSE criterion
DSP LECTURE 41 on (Discrete-Time Signal-Processing)
DSP LECTURE 41 on (Discrete-Time Signal-Processing)
Miscellaneous Topics
_ _ _ Invertibility of linear time-invariant systems
_ _ _ Power-density spectrum of the periodic signals (for the CTSs & DTSs)
_ _ _ Energy-density spectrum of the aperiodic signals (for the CTSs & DTSs)
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