Learn Digital Signal Processing - From Basics To Advance

DSP subject deals with Discrete time signal analysis, Discrete Time systems, DTFT, DFT, FFT, Digital Filters ( IIR and FIR filters). The course covers the essential elements of a DSP system from A/D conversion. The course starts with a detailed overview of discrete-time signals( periodic, even, odd, energy and power ) and systems, representation of the systems by means of differential equations, and their analysis using Fourier and z-transforms. Solving differential equations using Z-Transforms and finding frequency responses. Topics include sampling, impulse response, frequency response, finite and infinite impulse response systems, linear phase systems, digital filter design and implementation, discrete-time Fourier transforms, discrete Fourier transform, and the fast Fourier transform algorithms.

Understands the linear convolution( Graphical method and tabular form method) and circular convolution (Matrix and Concentric circle methods) and differences. This course deals with limitations of DTFT and DFT.FFT techniques are DIT-DFT, DIT-IDFT,DIF-DFT and DIF-IDFT techniques.

Digital filters are IIR and FIR filters, design methods and implementation.

Digital Signal Processing concludes with digital filter design and a discussion of the fast Fourier transform algorithm for computation of the discrete Fourier transform.

This course covers Decimation( down sampling) and Interpolation ( up sampling)  operations.

This course covers multi rate signal processing and single rate signal processing.

I suggest you use the "Signals and Systems" book by Oppenheim or Digital Signal Processing By Proakis.