Notes for Digital Signal Processing - DSP by Verified Writer

Basics of Digital Signal Processing, signal, system

The Z-Transform, The Direct Z-Transform, The Inverse Z-Transform Properties of the r nZ-Transform

Inversion of the Z-Transforms, The Inversion of the Z-Transform by Power Series Expansion, The Inversion of the Z-Transform by Partial-Fraction Expansion

Analysis of Linear Time-Invariant Systems in the z-Domain, Response of Systems with rational System Functions, Transient and Steady-State Responses, Causality and Stability, Pole-Zero Cancellations

Frequency Domain Sampling, Frequency-Domain Sampling and Reconstruction of Discrete-Time Signals, The Discrete Fourier Transform, The DFT as a Linear r nTransformation, Relationship of the DFT to other Transforms

Properties of the DFT, r nPeriodicity, Linearity, and Symmetry Properties, Multiplication of Two DFTs and Circular Convolution, Additional DFT Properties

Linear Filtering Methods Based on the DFT, Use of the DFT in Linear Filtering, Filtering of Long Data Sequences Frequency Analysis of Signals using the DFT

Discrete Cosine Transform, Forward DCT, r nInverse DCT, DCT as an Orthogonal Transform

Efficient Computation of the DFT, FFT Algorithms Direct Computation of the DFT, r n r nRadix-2 FFT Algorithms, Decimation-In-Time DIT , Decimation-In-Time DIF

Applications of FFT Algorithms, Efficient Computation of the DFT of two Real r nSequences, Efficient Computation of the DFT a 2N-Point Real Sequence, Use of the FFT Algorithm in Linear Filtering and Correlation

Design of FIR Filters, Symmetric and Antisymmetric FIR Filters, Design of Linear-Phase FIR Filters by using Windows, Design of Linear-Phase FIR Filters by the Frequency-Sampling Method

Design of IIR Filters from Analog Filters, IIR Filter Design by Impulse Invariance, IIR Filter Design by the Bilinear Transformation

Structure for the Realization of Discrete-Time Systems, Structure for FIR Systems Direct-Form Structure, Cascade-Form Structures, Frequency-Sampling Structures r n r nStructure for IIR Systems, Direct-Form Structures, Signal Flow Graphs and Transposed r nStructures, Cascade-Form Structures, Parallel-Form Structures

Application of Adaptive Filters, System Identification or System Modeling, Adaptive r nChannel Equalization, Adaptive Line Enhancer, Adaptive Noise Cancelling r n r nAdaptive Direct-Form FIR Filters-The LMS Algorithm, Minimum Mean Square Error Criterion, The LMS Algorithm