Unit 1
Discrete Fourier transforms: Fourier Transform, Fourier analysis of discrete time signals and systems: Discrete time Fourier series – Discrete Time Fourier Transform properties of DTFT – Introduction to DFT – properties of DFT – linear filtering methods based on DFT – FFT– efficient computation of the DFT of a 2N- point real sequences – correlation – use of FFT in linear filtering and correlation
Unit 2
Digital filters: Introduction, specifications of practical filters, Characteristics of commonly used analog filters – IIR filters: design by approximation of derivatives – impulse invariance and Bilinear transformation – frequency transformations for analog and digital filters
FIR filters: symmetric and anti-symmetric FIR filters – design of linear phase FIR filter using Windows – FIR differentiators – Hilbert transforms – comparison of design methods for linear phase FIR filters.