Lecture Notes || SNS Courseware

Lecture Notes

UNIT 1:

overlap save and overlap add method

concept of frequency in discrete-time signals

FT & DTFT

properties of DFT

Review of signals and systems

Radix-2 Decimation-in-time (DIT)

Decimation-in-frequency (DIF)

UNIT 2:

Characteristics of practical frequency selective filters

Butterworth filters

Chebyshev filters

Design of IIR filters from analog filters(LPF, HPF, BPF, BRF)

Approximation of derivatives

Impulse invariance method

Bilinear transformation

Structure of IIR filter - direct form I, direct form II, Cascade, parallel realizations

UNIT 3:

Design of FIR filters

symmetric and Anti-symmetric FIR filters

FIR filter design using windows (Rectangular)

FIR filter design using windows (Hamming)

FIR filter design using windows (hanning)

FIR filter structures

UNIT 4:

Fixed point and floating point number representation

scaling to prevent overflow

coefficient quantization error

quantization - truncation and rounding

limit cycle oscillations

product quantization error

UNIT 5:

Fixed and Floating point architecture principles

DSP architecture

circular buffering

DSP functionalities

Application examples