EC8553 – NOTES & QP
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EC8553 – SYLLABUS
UNIT I DISCRETE FOURIER TRANSFORM
Review of signals and systems, concept of frequency in discrete-time signals, summary of analysis & synthesis equations for FT & DTFT, frequency domain sampling, Discrete Fourier transform (DFT) — deriving DFT from DTFT, properties of DFT — periodicity, symmetry, circular convolution. Linear filtering using DFT. Filtering long data sequences — overlap save and overlap add method. Fast computation of DFT — Radix-2 Decimation-in-time (DIT) Fast Fourier transform (FFT), Decimation-in-frequency (DIF) Fast Fourier transform (FFT). Linear filtering using FFT.
UNIT II INFINITE IMPULSE RESPONSE FILTERS
Characteristics of practical frequency selective filters. characteristics of commonly used analog filters — Butterworth filters, Chebyshev filters. Design of IIR filters from analog filters (LPF, HPF, BPF, BRF) — Approximation of derivatives, Impulse invariance method, Bilinear transformation. Frequency transformation in the analog domain. Structure of IIR filter — direct form I, direct form II, Cascade, parallel realizations.
UNIT III FINITE IMPULSE RESPONSE FILTERS
Design of FIR filters — symmetric and Anti-symmetric FIR filters — design of linear phase FIR filters using Fourier series method — FIR filter design using windows (Rectangular, Hamming and Hanning window), Frequency sampling method. FIR filter structures — linear phase structure, direct form realizations
UNIT IV FINITE WORD LENGTH EFFECTS
Fixed point and floating point number representation — ADC — quantization — truncation and rounding — quantization noise — input / output quantization — coefficient quantization error — product quantization error — overflow error — limit cycle oscillations due to product quantization and
summation — scaling to prevent overflow.
UNIT V INTRODUCTION TO DIGITAL SIGNAL PROCESSORS
DSP functionalities — circular buffering — DSP architecture — Fixed and Floating point architecture principles — Programming — Application examples.